﻿26:@0.058194:0.966765:0.075166:0.966765:0.075166:0.950778:0.058194:0.950778:0.000000:0.000000
M.5.1.9. Resolver sistemas de tres ecuaciones lineales con dos incógnitas (ninguna solución, solución única, infinitas soluciones), utilizando los métodos de sustitución o :@0.143847:0.939163:0.894218:0.939163:0.894218:0.929121:0.143847:0.929121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eliminación gaussiana.:@0.143847:0.947964:0.239477:0.947964:0.239477:0.937922:0.143847:0.937922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistemas de tres ecuaciones :@0.404235:0.120539:0.748245:0.120539:0.748245:0.075879:0.404235:0.075879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineales con dos incógnitas:@0.404235:0.158258:0.729750:0.158258:0.729750:0.113598:0.404235:0.113598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,  ,   :@0.404236:0.181731:0.493310:0.181731:0.493310:0.165233:0.404236:0.165233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.441765:0.181847:0.486352:0.181847:0.486352:0.165378:0.441765:0.165378:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.450619:0.185075:0.452831:0.185075:0.452831:0.175474:0.450619:0.175474:0.000000
i:@0.469483:0.185075:0.471696:0.185075:0.471696:0.175474:0.469483:0.175474:0.000000
i:@0.486114:0.185075:0.488326:0.185075:0.488326:0.175474:0.486114:0.175474:0.000000
:@0.493040:0.181514:0.509088:0.181514:0.509088:0.166867:0.493040:0.166867:0.000000
 :@0.508850:0.181212:0.513247:0.181212:0.513247:0.167839:0.508850:0.167839:0.000000
:@0.512741:0.180762:0.526651:0.180762:0.526651:0.167315:0.512741:0.167315:0.000000
 con   = 1, 2, 3. Los sistemas de tres ecuaciones linea-:@0.526420:0.181731:0.891862:0.181731:0.891862:0.165233:0.526420:0.165233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.561117:0.181847:0.564912:0.181847:0.564912:0.165378:0.561117:0.165378:0.000000
les con dos incógnitas tienen la forma siguiente::@0.404240:0.198070:0.742129:0.198070:0.742129:0.181572:0.404240:0.181572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ) :@0.404240:0.237890:0.442288:0.237890:0.442288:0.221392:0.404240:0.221392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.410192:0.238005:0.432251:0.238005:0.432251:0.221536:0.410192:0.221536:0.000000:0.000000:0.000000
:@0.442231:0.237673:0.458279:0.237673:0.458279:0.223026:0.442231:0.223026:0.000000
 :@0.458216:0.237375:0.462613:0.237375:0.462613:0.224001:0.458216:0.224001:0.000000
:@0.462561:0.236925:0.476471:0.236925:0.476471:0.223478:0.462561:0.223478:0.000000
2:@0.476412:0.231542:0.481365:0.231542:0.481365:0.221923:0.476412:0.221923:0.000000
, tal que:@0.481366:0.237893:0.537409:0.237893:0.537409:0.221396:0.481366:0.221396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se supone que |  | + |  | > 0 para   = 1, 2, 3.:@0.404228:0.286924:0.721430:0.286928:0.721430:0.270430:0.404228:0.270426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.522149:0.287039:0.531126:0.287039:0.531126:0.270571:0.522149:0.270571:0.000000
i :@0.531018:0.290273:0.536488:0.290273:0.536488:0.280672:0.531018:0.280672:0.000000:0.000000
b:@0.569740:0.287044:0.579006:0.287044:0.579006:0.270575:0.569740:0.270575:0.000000
i :@0.578928:0.290273:0.584398:0.290273:0.584398:0.280672:0.578928:0.280672:0.000000:0.000000
i:@0.656506:0.287044:0.660301:0.287044:0.660301:0.270575:0.656506:0.270575:0.000000
Para resolver un sistema de tres ecuaciones con dos incógnitas, se :@0.404229:0.319620:0.895969:0.319620:0.895969:0.303122:0.404229:0.303122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elige un par de ecuaciones; digamos, las dos primeras::@0.404229:0.335958:0.783362:0.335958:0.783362:0.319461:0.404229:0.319461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a x b y c:@0.584687:0.359541:0.673368:0.359552:0.673368:0.343083:0.584687:0.343072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.593664:0.362713:0.598617:0.362713:0.598617:0.353095:0.593664:0.353095:0.000000
 + :@0.606093:0.359437:0.625184:0.359437:0.625184:0.342939:0.606093:0.342939:0.000000:0.000000:0.000000
1:@0.634449:0.362713:0.639402:0.362713:0.639402:0.353095:0.634449:0.353095:0.000000
 =  ,:@0.647090:0.359437:0.681075:0.359437:0.681075:0.342939:0.647090:0.342939:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.673367:0.362713:0.678320:0.362713:0.678320:0.353095:0.673367:0.353095:0.000000
a x b y c:@0.584691:0.375891:0.673368:0.375897:0.673368:0.359428:0.584691:0.359422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.593664:0.379058:0.598617:0.379058:0.598617:0.369440:0.593664:0.369440:0.000000
 + :@0.606093:0.375781:0.625184:0.375781:0.625184:0.359284:0.606093:0.359284:0.000000:0.000000:0.000000
2:@0.634449:0.379058:0.639402:0.379058:0.639402:0.369440:0.634449:0.369440:0.000000
 =  ;:@0.647090:0.375781:0.681075:0.375781:0.681075:0.359284:0.647090:0.359284:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.673367:0.379058:0.678320:0.379058:0.678320:0.369440:0.673367:0.369440:0.000000
aplicamos cualquier método de resolución de sistemas de dos ecuacio-:@0.404234:0.408473:0.891797:0.408473:0.891797:0.391976:0.404234:0.391976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nes lineales con dos incógnitas; si el sistema tiene una solución ( ,  ) :@0.404234:0.424812:0.852787:0.424812:0.852787:0.408314:0.404234:0.408314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x ˆ y:@0.824000:0.424928:0.843848:0.424928:0.843848:0.408459:0.824000:0.408459:0.000000:0.000000:0.000000:0.000000:0.000000
ˆ:@0.835756:0.424928:0.843462:0.424928:0.843462:0.408459:0.835756:0.408459:0.000000
:@0.851746:0.424595:0.867794:0.424595:0.867794:0.409948:0.851746:0.409948:0.000000
 :@0.867413:0.424298:0.871811:0.424298:0.871811:0.410924:0.867413:0.410924:0.000000
:@0.870764:0.423847:0.884673:0.423847:0.884673:0.410401:0.870764:0.410401:0.000000
2:@0.884288:0.418463:0.889241:0.418463:0.889241:0.408845:0.884288:0.408845:0.000000
, :@0.889015:0.424816:0.895912:0.424816:0.895912:0.408319:0.889015:0.408319:0.000000:0.000000
esta debe verificar la tercera ecuación, es decir que :@0.404244:0.441155:0.765943:0.441155:0.765943:0.424657:0.404244:0.424657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a xˆ b yˆ c:@0.765982:0.441271:0.854893:0.441277:0.854893:0.424808:0.765982:0.424802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.775020:0.444438:0.779974:0.444438:0.779974:0.434820:0.775020:0.434820:0.000000
 + :@0.787447:0.441161:0.806578:0.441161:0.806578:0.424663:0.787447:0.424663:0.000000:0.000000:0.000000
3:@0.815898:0.444438:0.820851:0.444438:0.820851:0.434820:0.815898:0.434820:0.000000
 =  . Así, :@0.828538:0.441161:0.895905:0.441161:0.895905:0.424663:0.828538:0.424663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.854907:0.444438:0.859861:0.444438:0.859861:0.434820:0.854907:0.434820:0.000000
( ,  ) :@0.404236:0.457500:0.441534:0.457500:0.441534:0.441002:0.404236:0.441002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x ˆ y:@0.410189:0.457615:0.431439:0.457615:0.431439:0.441147:0.410189:0.441147:0.000000:0.000000:0.000000:0.000000:0.000000
ˆ:@0.423733:0.457615:0.431439:0.457615:0.431439:0.441147:0.423733:0.441147:0.000000
:@0.440725:0.457283:0.456773:0.457283:0.456773:0.442636:0.440725:0.442636:0.000000
 :@0.456765:0.456987:0.461162:0.456987:0.461162:0.443614:0.456765:0.443614:0.000000
:@0.460301:0.456537:0.474211:0.456537:0.474211:0.443090:0.460301:0.443090:0.000000
2:@0.474209:0.451153:0.479162:0.451153:0.479162:0.441535:0.474209:0.441535:0.000000
 es solución del sistema de ecuaciones lineales de tres ecua-:@0.479163:0.457506:0.891800:0.457506:0.891800:0.441008:0.479163:0.441008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones con dos incógnitas.:@0.404240:0.473845:0.590609:0.473845:0.590609:0.457347:0.404240:0.457347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si ( ,  ) :@0.404240:0.506536:0.460264:0.506536:0.460264:0.490039:0.404240:0.490039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x ˆ y:@0.427137:0.506652:0.450169:0.506652:0.450169:0.490183:0.427137:0.490183:0.000000:0.000000:0.000000:0.000000:0.000000
ˆ:@0.442463:0.506652:0.450169:0.506652:0.450169:0.490183:0.442463:0.490183:0.000000
:@0.461246:0.506320:0.477294:0.506320:0.477294:0.491673:0.461246:0.491673:0.000000
 :@0.477317:0.506022:0.481714:0.506022:0.481714:0.492649:0.477317:0.492649:0.000000
:@0.482768:0.505572:0.496678:0.505572:0.496678:0.492125:0.482768:0.492125:0.000000
2:@0.496678:0.500188:0.501631:0.500188:0.501631:0.490570:0.496678:0.490570:0.000000
 no satisface la tercera ecuación, esto es :@0.501630:0.506541:0.790884:0.506541:0.790884:0.490043:0.501630:0.490043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a x:@0.791880:0.506656:0.813281:0.506656:0.813281:0.490188:0.791880:0.490188:0.000000:0.000000:0.000000
3:@0.800854:0.509817:0.805807:0.509817:0.805807:0.500199:0.800854:0.500199:0.000000
ˆ:@0.805575:0.506656:0.813281:0.506656:0.813281:0.490188:0.805575:0.490188:0.000000
 + :@0.813281:0.506541:0.833365:0.506541:0.833365:0.490043:0.813281:0.490043:0.000000:0.000000:0.000000
b y:@0.834357:0.506656:0.856264:0.506656:0.856264:0.490188:0.834357:0.490188:0.000000:0.000000:0.000000
3:@0.843623:0.509817:0.848576:0.509817:0.848576:0.500199:0.843623:0.500199:0.000000
ˆ:@0.848326:0.506656:0.856032:0.506656:0.856032:0.490188:0.848326:0.490188:0.000000
 ≠  , :@0.855801:0.506541:0.895912:0.506541:0.895912:0.490043:0.855801:0.490043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.876877:0.506656:0.884063:0.506656:0.884063:0.490188:0.876877:0.490188:0.000000
3:@0.884062:0.509817:0.889015:0.509817:0.889015:0.500199:0.884062:0.500199:0.000000
entonces ( ,  ) :@0.404244:0.522879:0.514171:0.522879:0.514171:0.506382:0.404244:0.506382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x ˆ y:@0.480534:0.522995:0.504076:0.522995:0.504076:0.506526:0.480534:0.506526:0.000000:0.000000:0.000000:0.000000:0.000000
ˆ:@0.496370:0.522995:0.504076:0.522995:0.504076:0.506526:0.496370:0.506526:0.000000
:@0.515655:0.522663:0.531703:0.522663:0.531703:0.508016:0.515655:0.508016:0.000000
 :@0.531667:0.522367:0.536064:0.522367:0.536064:0.508994:0.531667:0.508994:0.000000
:@0.537630:0.521917:0.551540:0.521917:0.551540:0.508470:0.537630:0.508470:0.000000
2:@0.551540:0.516533:0.556493:0.516533:0.556493:0.506915:0.551540:0.506915:0.000000
 no es solución del sistema de tres ecuaciones :@0.556494:0.522886:0.895951:0.522886:0.895951:0.506388:0.556494:0.506388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineales con dos incógnitas y se dirá que es un sistema inconsistente. :@0.404240:0.539224:0.895963:0.539224:0.895963:0.522727:0.404240:0.522727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ello, escribiremos S = Ø.:@0.404240:0.555563:0.600704:0.555563:0.600704:0.539065:0.404240:0.539065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.404240:0.588631:0.522219:0.588631:0.522219:0.571844:0.404240:0.571844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Considera el sistema de ecuaciones ( ,  ) :@0.404240:0.604593:0.695184:0.604593:0.695184:0.588096:0.404240:0.588096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.663085:0.604709:0.685143:0.604709:0.685143:0.588240:0.663085:0.588240:0.000000:0.000000:0.000000
:@0.695126:0.604376:0.711174:0.604376:0.711174:0.589729:0.695126:0.589729:0.000000
 :@0.711107:0.604092:0.715504:0.604092:0.715504:0.590718:0.711107:0.590718:0.000000
:@0.715452:0.603642:0.729362:0.603642:0.729362:0.590195:0.715452:0.590195:0.000000
2:@0.729303:0.598257:0.734256:0.598257:0.734256:0.588639:0.729303:0.588639:0.000000
, tal que::@0.734257:0.604610:0.793054:0.604610:0.793054:0.588113:0.734257:0.588113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
       +        = 1,:@0.589440:0.635205:0.693260:0.635205:0.693260:0.618708:0.589440:0.618708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.610150:0.635321:0.617625:0.635321:0.617625:0.618852:0.610150:0.618852:0.000000
y:@0.655732:0.635321:0.663418:0.635321:0.663418:0.618852:0.655732:0.618852:0.000000
6  + 10  = –30,   :@0.589440:0.667897:0.710946:0.667897:0.710946:0.651399:0.589440:0.651399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.597936:0.668013:0.605411:0.668013:0.605411:0.651544:0.597936:0.651544:0.000000
y:@0.641495:0.668013:0.649181:0.668013:0.649181:0.651544:0.641495:0.651544:0.000000
3  +   5  = –15,:@0.589440:0.684236:0.698308:0.684236:0.698308:0.667738:0.589440:0.667738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.597936:0.684351:0.605411:0.684351:0.605411:0.667883:0.597936:0.667883:0.000000
y:@0.641283:0.684351:0.648969:0.684351:0.648969:0.667883:0.641283:0.667883:0.000000
y sea   el conjunto solución. Para resolver este sistema, primeramente, :@0.404243:0.716927:0.895848:0.716927:0.895848:0.700430:0.404243:0.700430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.441423:0.717043:0.449302:0.717043:0.449302:0.700574:0.441423:0.700574:0.000000
encontramos, si existe, una solución de la primera y segunda ecuacio-:@0.404243:0.733266:0.891766:0.733266:0.891766:0.716768:0.404243:0.716768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nes. Aplicamos el método de igualación.:@0.404243:0.749605:0.689656:0.749605:0.689656:0.733107:0.404243:0.733107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De la primera ecuación obtenemos   = 5  – 1 –          y de la segunda, :@0.404243:0.782296:0.896045:0.782296:0.896045:0.765799:0.404243:0.765799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.657309:0.782412:0.664784:0.782412:0.664784:0.765943:0.657309:0.765943:0.000000
y:@0.760513:0.782412:0.768200:0.782412:0.768200:0.765943:0.760513:0.765943:0.000000
x:@0.404243:0.805879:0.411718:0.805879:0.411718:0.789410:0.404243:0.789410:0.000000
 =      (– 30 – 10 ). Luego, igualamos los segundos miembros: :@0.411718:0.805763:0.846396:0.805763:0.846396:0.789266:0.411718:0.789266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.524882:0.805879:0.532569:0.805879:0.532569:0.789410:0.524882:0.789410:0.000000
5  – 1 –       =      (– 30 – 10    –5 –       = –5 –      y, :@0.450402:0.838455:0.849757:0.838477:0.849757:0.821979:0.450402:0.821957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y  :@0.529814:0.838571:0.545785:0.838571:0.545785:0.822102:0.529814:0.822102:0.000000:0.000000:0.000000
y):@0.654807:0.838571:0.667926:0.838571:0.667926:0.822102:0.654807:0.822102:0.000000:0.000000
y :@0.750541:0.838593:0.762370:0.838593:0.762370:0.822124:0.750541:0.822124:0.000000:0.000000
que muestra que el sistema reducido de dos ecuaciones es sobre-:@0.404229:0.871169:0.891809:0.871169:0.891809:0.854671:0.404229:0.854671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinado. Multiplicamos a la primera  ecuación por 15  y a la :@0.404229:0.887507:0.895970:0.887507:0.895970:0.871010:0.404229:0.871010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segunda, por      .:@0.404229:0.907417:0.524172:0.907417:0.524172:0.890920:0.404229:0.890920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.562945:0.830800:0.571441:0.830800:0.571441:0.814302:0.562945:0.814302:0.000000
6:@0.562945:0.847139:0.571441:0.847139:0.571441:0.830641:0.562945:0.830641:0.000000
1:@0.593575:0.627945:0.602071:0.627945:0.602071:0.611447:0.593575:0.611447:0.000000
5:@0.593575:0.644283:0.602071:0.644283:0.602071:0.627785:0.593575:0.627785:0.000000
1:@0.639994:0.627945:0.648490:0.627945:0.648490:0.611447:0.639994:0.611447:0.000000
3:@0.639994:0.644283:0.648490:0.644283:0.648490:0.627785:0.639994:0.627785:0.000000
1:@0.434019:0.798343:0.442515:0.798343:0.442515:0.781845:0.434019:0.781845:0.000000
6:@0.434019:0.814681:0.442515:0.814681:0.442515:0.798184:0.434019:0.798184:0.000000
1:@0.745059:0.774231:0.753555:0.774231:0.753555:0.757734:0.745059:0.757734:0.000000
3:@0.745059:0.790570:0.753555:0.790570:0.753555:0.774072:0.745059:0.774072:0.000000
1:@0.506399:0.901323:0.514895:0.901323:0.514895:0.884826:0.506399:0.884826:0.000000
2:@0.506399:0.917662:0.514895:0.917662:0.514895:0.901164:0.506399:0.901164:0.000000
1:@0.518126:0.829533:0.526622:0.829533:0.526622:0.813035:0.518126:0.813035:0.000000
3:@0.518126:0.845871:0.526622:0.845871:0.526622:0.829374:0.518126:0.829374:0.000000
5:@0.731684:0.829533:0.740180:0.829533:0.740180:0.813035:0.731684:0.813035:0.000000
3:@0.731684:0.845871:0.740180:0.845871:0.740180:0.829374:0.731684:0.829374:0.000000
5:@0.816566:0.829533:0.825062:0.829533:0.825062:0.813035:0.816566:0.813035:0.000000
3:@0.816566:0.845871:0.825062:0.845871:0.825062:0.829374:0.816566:0.829374:0.000000
Saberes previos:@0.199646:0.101454:0.307805:0.101454:0.307805:0.085981:0.199646:0.085981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué forma tienen los :@0.199884:0.130082:0.346919:0.130082:0.346919:0.115019:0.199884:0.115019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistemas de tres ecuaciones :@0.153341:0.145924:0.333937:0.145924:0.333937:0.130861:0.153341:0.130861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineales con dos incógnitas? :@0.153341:0.161766:0.335288:0.161766:0.335288:0.146703:0.153341:0.146703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Comenta un ejemplo.:@0.153341:0.177608:0.294852:0.177608:0.294852:0.162545:0.153341:0.162545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.224760:0.363493:0.224760:0.363493:0.209287:0.199646:0.209287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Puede un sistema de :@0.199884:0.253387:0.342609:0.253387:0.342609:0.238324:0.199884:0.238324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
este tipo tener infinitas  :@0.153341:0.269229:0.310242:0.269229:0.310242:0.254166:0.153341:0.254166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
soluciones?:@0.153341:0.285071:0.226904:0.285071:0.226904:0.270008:0.153341:0.270008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a x b y c:@0.566838:0.223647:0.655518:0.223647:0.655518:0.207178:0.566838:0.207178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.575816:0.226808:0.580769:0.226808:0.580769:0.217190:0.575816:0.217190:0.000000
 + :@0.588243:0.223531:0.607335:0.223531:0.607335:0.207033:0.588243:0.207033:0.000000:0.000000:0.000000
1:@0.616601:0.226808:0.621554:0.226808:0.621554:0.217190:0.616601:0.217190:0.000000
 =  ,:@0.629240:0.223531:0.663226:0.223531:0.663226:0.207033:0.629240:0.207033:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.655517:0.226808:0.660470:0.226808:0.660470:0.217190:0.655517:0.217190:0.000000
a x b y c:@0.566842:0.240998:0.655518:0.240998:0.655518:0.224529:0.566842:0.224529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.575816:0.244159:0.580769:0.244159:0.580769:0.234540:0.575816:0.234540:0.000000
 + :@0.588243:0.240882:0.607335:0.240882:0.607335:0.224384:0.588243:0.224384:0.000000:0.000000:0.000000
2:@0.616601:0.244159:0.621554:0.244159:0.621554:0.234540:0.616601:0.234540:0.000000
 =  ,:@0.629240:0.240882:0.663226:0.240882:0.663226:0.224384:0.629240:0.224384:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.655517:0.244159:0.660470:0.244159:0.660470:0.234540:0.655517:0.234540:0.000000
a x b y c:@0.566842:0.258348:0.655518:0.258348:0.655518:0.241880:0.566842:0.241880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.575816:0.261509:0.580769:0.261509:0.580769:0.251891:0.575816:0.251891:0.000000
 + :@0.588243:0.258233:0.607335:0.258233:0.607335:0.241735:0.588243:0.241735:0.000000:0.000000:0.000000
3:@0.616601:0.261509:0.621554:0.261509:0.621554:0.251891:0.616601:0.251891:0.000000
 =  .:@0.629240:0.258233:0.663226:0.258233:0.663226:0.241735:0.629240:0.241735:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.655517:0.261509:0.660470:0.261509:0.660470:0.251891:0.655517:0.251891:0.000000
Los sistemas de tres :@0.199880:0.452931:0.330256:0.452931:0.330256:0.437868:0.199880:0.437868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones lineales con dos :@0.153337:0.468773:0.335232:0.468773:0.335232:0.453710:0.153337:0.453710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnitas tienen la siguiente :@0.153337:0.484615:0.344504:0.484615:0.344504:0.469552:0.153337:0.469552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma: :@0.153337:0.500457:0.198631:0.500457:0.198631:0.485394:0.153337:0.485394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ) :@0.220936:0.516299:0.255729:0.516299:0.255729:0.501236:0.220936:0.501236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.226371:0.516404:0.246512:0.516404:0.246512:0.501368:0.226371:0.501368:0.000000:0.000000:0.000000
:@0.255726:0.515950:0.269681:0.515950:0.269681:0.503213:0.255726:0.503213:0.000000
 :@0.269681:0.516101:0.274078:0.516101:0.274078:0.502727:0.269681:0.502727:0.000000
:@0.274078:0.515414:0.286778:0.515414:0.286778:0.503137:0.274078:0.503137:0.000000
2:@0.286778:0.510499:0.291301:0.510499:0.291301:0.501718:0.286778:0.501718:0.000000
,:@0.291302:0.516404:0.293905:0.516404:0.293905:0.501368:0.291302:0.501368:0.000000
 :@0.153343:0.539270:0.157125:0.539270:0.157125:0.524207:0.153343:0.524207:0.000000
a x b y = c ,:@0.215084:0.539375:0.303385:0.539374:0.303385:0.524337:0.215084:0.524339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.223273:0.542323:0.227570:0.542323:0.227570:0.533557:0.223273:0.533557:0.000000
 + :@0.234395:0.539268:0.251827:0.539268:0.251827:0.524205:0.234395:0.524205:0.000000:0.000000:0.000000
1:@0.260288:0.542323:0.264585:0.542323:0.264585:0.533557:0.260288:0.533557:0.000000
1:@0.295664:0.542323:0.299961:0.542323:0.299961:0.533557:0.295664:0.533557:0.000000
tal que :@0.153342:0.555110:0.201996:0.555110:0.201996:0.540047:0.153342:0.540047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a x b y = c ,:@0.215083:0.555216:0.303385:0.555216:0.303385:0.540179:0.215083:0.540179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.223273:0.558165:0.227570:0.558165:0.227570:0.549399:0.223273:0.549399:0.000000
 + :@0.234395:0.555110:0.251827:0.555110:0.251827:0.540047:0.234395:0.540047:0.000000:0.000000:0.000000
2:@0.260288:0.558165:0.264585:0.558165:0.264585:0.549399:0.260288:0.549399:0.000000
2:@0.295664:0.558165:0.299961:0.558165:0.299961:0.549399:0.295664:0.549399:0.000000
 :@0.153342:0.570952:0.157124:0.570952:0.157124:0.555889:0.153342:0.555889:0.000000
a x b y = c ,:@0.215083:0.571058:0.303385:0.571058:0.303385:0.556021:0.215083:0.556021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.223273:0.574007:0.227570:0.574007:0.227570:0.565241:0.223273:0.565241:0.000000
 + :@0.234395:0.570952:0.251827:0.570952:0.251827:0.555889:0.234395:0.555889:0.000000:0.000000:0.000000
3:@0.260288:0.574007:0.264585:0.574007:0.264585:0.565241:0.260288:0.565241:0.000000
3:@0.295664:0.574007:0.299961:0.574007:0.299961:0.565241:0.295664:0.565241:0.000000
donde  ,  ,   :@0.153342:0.593923:0.245207:0.593923:0.245207:0.578860:0.153342:0.578860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.199938:0.594029:0.239616:0.594029:0.239616:0.578992:0.199938:0.578992:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.208030:0.596977:0.210051:0.596977:0.210051:0.588210:0.208030:0.588210:0.000000
i:@0.224738:0.596977:0.226758:0.596977:0.226758:0.588210:0.224738:0.588210:0.000000
i:@0.239404:0.596977:0.241424:0.596977:0.241424:0.588210:0.239404:0.588210:0.000000
:@0.245206:0.593574:0.259160:0.593574:0.259160:0.580838:0.245206:0.580838:0.000000
 :@0.259160:0.593725:0.263558:0.593725:0.263558:0.580352:0.259160:0.580352:0.000000
:@0.263558:0.593039:0.276258:0.593039:0.276258:0.580761:0.263558:0.580761:0.000000
     = 1, 2, 3 :@0.276258:0.593923:0.348148:0.593923:0.348148:0.578860:0.276258:0.578860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.287603:0.594029:0.291069:0.594029:0.291069:0.578992:0.287603:0.578992:0.000000
son los coeficientes del sistema.:@0.153339:0.609765:0.357202:0.609765:0.357202:0.594702:0.153339:0.594702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolver este sistema de :@0.153339:0.632736:0.312685:0.632736:0.312685:0.617673:0.153339:0.617673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones significa hallar, :@0.153339:0.648578:0.324928:0.648578:0.324928:0.633515:0.153339:0.633515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siempre que exista, todos los :@0.153339:0.664420:0.343308:0.664420:0.343308:0.649357:0.153339:0.649357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pares de números reales ( ,  ) :@0.153339:0.680262:0.347496:0.680262:0.347496:0.665199:0.153339:0.665199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.318138:0.680368:0.338278:0.680368:0.338278:0.665331:0.318138:0.665331:0.000000:0.000000:0.000000
que satisfacen a cada una de las :@0.153339:0.696104:0.361883:0.696104:0.361883:0.681041:0.153339:0.681041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones del sistema.:@0.153339:0.711946:0.303220:0.711946:0.303220:0.696883:0.153339:0.696883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Denotamos:@0.153339:0.735339:0.235254:0.735339:0.235254:0.719867:0.153339:0.719867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con   al conjunto :@0.235254:0.734917:0.356238:0.734917:0.356238:0.719854:0.235254:0.719854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.267426:0.735023:0.274620:0.735023:0.274620:0.719986:0.267426:0.719986:0.000000
solución.:@0.153339:0.750759:0.210911:0.750759:0.210911:0.735696:0.153339:0.735696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.199644:0.415730:0.297267:0.415730:0.297267:0.400257:0.199644:0.400257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.199644:0.428298:0.283707:0.428298:0.283707:0.412825:0.199644:0.412825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000