﻿18:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.393153:0.549669:0.550275:0.549669:0.550275:0.531232:0.393153:0.531232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolvamos:@0.393153:0.569515:0.484591:0.569515:0.484591:0.552891:0.393153:0.552891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el siguiente sistema de ecuaciones lineales por el  :@0.484591:0.569515:0.883936:0.569515:0.883936:0.553126:0.484591:0.553126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
método de eliminación::@0.393153:0.586111:0.568271:0.586111:0.568271:0.569722:0.393153:0.569722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.393153:0.609830:0.408171:0.609830:0.408171:0.592694:0.393153:0.592694:0.000000:0.000000
 :@0.408171:0.609830:0.411986:0.609830:0.411986:0.592929:0.408171:0.592929:0.000000
5  + 6  = 20:@0.411986:0.609830:0.501010:0.609830:0.501010:0.593441:0.411986:0.593441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.420979:0.609830:0.428442:0.609830:0.428442:0.593469:0.420979:0.593469:0.000000
y:@0.456489:0.609830:0.463970:0.609830:0.463970:0.593469:0.456489:0.593469:0.000000
2.:@0.393153:0.633549:0.408171:0.633549:0.408171:0.616413:0.393153:0.616413:0.000000:0.000000
 4  – 3  = – 23:@0.408171:0.633549:0.512711:0.633549:0.512711:0.617160:0.408171:0.617160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.421200:0.633549:0.428663:0.633549:0.428663:0.617188:0.421200:0.617188:0.000000
y:@0.454941:0.633549:0.462422:0.633549:0.462422:0.617188:0.454941:0.617188:0.000000
Multiplicamos:@0.393153:0.657268:0.502005:0.657268:0.502005:0.640644:0.393153:0.640644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 por dos a la ecuación 2.:@0.502005:0.657268:0.678228:0.657268:0.678228:0.640879:0.502005:0.640879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+⎨:@0.395352:0.696995:0.415531:0.697271:0.415531:0.681699:0.395352:0.681422:0.000000:0.000000
+⎪:@0.436022:0.685045:0.415531:0.686788:0.415531:0.671215:0.436022:0.669473:0.000000:0.000000
=:@0.476858:0.685045:0.446139:0.685045:0.446139:0.669473:0.476858:0.669473:0.000000
=:@0.478000:0.709843:0.488117:0.709843:0.488117:0.694270:0.478000:0.694270:0.000000
⎧:@0.406427:0.681629:0.415531:0.681629:0.415531:0.666056:0.406427:0.666056:0.000000
⎩:@0.406427:0.713273:0.415531:0.713273:0.415531:0.697700:0.406427:0.697700:0.000000
⎪:@0.406427:0.710645:0.415531:0.710645:0.415531:0.695072:0.406427:0.695072:0.000000
5:@0.415586:0.684395:0.424579:0.684395:0.424579:0.668726:0.415586:0.668726:0.000000
6:@0.451603:0.684395:0.460595:0.684395:0.460595:0.668726:0.451603:0.668726:0.000000
20:@0.489505:0.684395:0.507287:0.684395:0.507287:0.668726:0.489505:0.668726:0.000000:0.000000
8 – 6:@0.415586:0.709193:0.461749:0.709193:0.461749:0.693523:0.415586:0.693523:0.000000:0.000000:0.000000:0.000000:0.000000
–46:@0.491025:0.709193:0.518021:0.709193:0.518021:0.693523:0.491025:0.693523:0.000000:0.000000:0.000000
x:@0.425426:0.684395:0.432889:0.684395:0.432889:0.669002:0.425426:0.669002:0.000000
y:@0.462226:0.684395:0.469708:0.684395:0.469708:0.669002:0.462226:0.669002:0.000000
x:@0.426219:0.709193:0.433682:0.709193:0.433682:0.693800:0.426219:0.693800:0.000000
y:@0.463387:0.709193:0.470869:0.709193:0.470869:0.693800:0.463387:0.693800:0.000000
Sistema de ecuaciones lineales con dos incógnitas:@0.115891:0.141978:0.869045:0.141978:0.869045:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.5. Identificar la intersección gráfica de dos rectas como solución de un sistema de dos ecuaciones lineales con dos incógnitas. :@0.125388:0.069719:0.739156:0.069719:0.739156:0.059289:0.125388:0.059289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.6. Resolver analíticamente sistemas de dos ecuaciones lineales con dos incógnitas utilizando diferentes métodos (igualación, sustitución, eliminación).  :@0.125388:0.080280:0.855050:0.080280:0.855050:0.069851:0.125388:0.069851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.054209:0.122645:0.076302:0.122645:0.076302:0.065614:0.054209:0.065614:0.000000
Método gráfico:@0.437387:0.170736:0.558934:0.170736:0.558934:0.153836:0.437387:0.153836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución única:@0.185390:0.194787:0.301797:0.194787:0.301797:0.177887:0.185390:0.177887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Infinitas soluciones:@0.418389:0.194787:0.571209:0.194787:0.571209:0.177887:0.418389:0.177887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ninguna solución:@0.679453:0.194787:0.819263:0.194787:0.819263:0.177887:0.679453:0.177887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las rectas L  y L  se cortan en un  Las rectas L  y L  son coinci- Las rectas L  y L  son paralelas, en :@0.122994:0.218686:0.877331:0.218690:0.877331:0.202301:0.122994:0.202297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.208235:0.221854:0.213477:0.221854:0.213477:0.212299:0.208235:0.212299:0.000000
2:@0.238424:0.221854:0.243667:0.221854:0.243667:0.212299:0.238424:0.212299:0.000000
único punto (x , y ), es la solu- dentes. El sistema se reduce a  cuyo caso el sistema de ecuacio-:@0.123019:0.235286:0.873313:0.235286:0.873313:0.218897:0.123019:0.218897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.239151:0.238450:0.244394:0.238450:0.244394:0.228895:0.239151:0.228895:0.000000
1:@0.263375:0.238450:0.268618:0.238450:0.268618:0.228895:0.263375:0.228895:0.000000
ción del sistema de ecuaciones  una sola ecuación con infinitas   nes lineales no tiene solución.:@0.123019:0.251883:0.844216:0.251883:0.844216:0.235494:0.123019:0.235494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineales.:@0.123019:0.268479:0.182153:0.268479:0.182153:0.252090:0.123019:0.252090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.472152:0.221854:0.477395:0.221854:0.477395:0.212299:0.472152:0.212299:0.000000
2:@0.511688:0.221854:0.516930:0.221854:0.516930:0.212299:0.511688:0.212299:0.000000
soluciones.:@0.377578:0.268479:0.460355:0.268479:0.460355:0.252090:0.377578:0.252090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.710142:0.221854:0.715384:0.221854:0.715384:0.212299:0.710142:0.212299:0.000000
2:@0.741197:0.221854:0.746440:0.221854:0.746440:0.212299:0.741197:0.212299:0.000000
a x:@0.124562:0.312127:0.140543:0.312127:0.140543:0.300228:0.124562:0.300228:0.000000:0.000000:0.000000
1:@0.131303:0.314428:0.135116:0.314428:0.135116:0.307479:0.131303:0.307479:0.000000
 + :@0.140543:0.312127:0.154401:0.312127:0.154401:0.300208:0.140543:0.300208:0.000000:0.000000:0.000000
b y:@0.154401:0.312127:0.170394:0.312127:0.170394:0.300228:0.154401:0.300228:0.000000:0.000000:0.000000
1:@0.161140:0.314428:0.164953:0.314428:0.164953:0.307479:0.161140:0.307479:0.000000
 = :@0.170394:0.312127:0.184252:0.312127:0.184252:0.300208:0.170394:0.300208:0.000000:0.000000:0.000000
c:@0.184252:0.312127:0.189827:0.312127:0.189827:0.300228:0.184252:0.300228:0.000000
1:@0.189827:0.314428:0.193640:0.314428:0.193640:0.307479:0.189827:0.307479:0.000000
a x:@0.251352:0.304643:0.267334:0.304643:0.267334:0.292744:0.251352:0.292744:0.000000:0.000000:0.000000
2:@0.258093:0.306945:0.261906:0.306945:0.261906:0.299996:0.258093:0.299996:0.000000
 + :@0.267334:0.304643:0.281191:0.304643:0.281191:0.292724:0.267334:0.292724:0.000000:0.000000:0.000000
b y:@0.281191:0.304643:0.297185:0.304643:0.297185:0.292744:0.281191:0.292744:0.000000:0.000000:0.000000
2:@0.287931:0.306945:0.291744:0.306945:0.291744:0.299996:0.287931:0.299996:0.000000
 = :@0.297185:0.304643:0.311043:0.304643:0.311043:0.292724:0.297185:0.292724:0.000000:0.000000:0.000000
c:@0.311043:0.304643:0.316618:0.304643:0.316618:0.292744:0.311043:0.292744:0.000000
2:@0.316618:0.306945:0.320431:0.306945:0.320431:0.299996:0.316618:0.299996:0.000000
( ,  ):@0.241730:0.334937:0.272594:0.334937:0.272594:0.323018:0.241730:0.323018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.245281:0.334937:0.265230:0.334937:0.265230:0.323038:0.245281:0.323038:0.000000:0.000000:0.000000
1:@0.250709:0.337238:0.254522:0.337238:0.254522:0.330289:0.250709:0.330289:0.000000
1:@0.265230:0.337238:0.269043:0.337238:0.269043:0.330289:0.265230:0.330289:0.000000
x:@0.231169:0.368080:0.236597:0.368080:0.236597:0.356181:0.231169:0.356181:0.000000
1:@0.236600:0.370383:0.240413:0.370383:0.240413:0.363434:0.236600:0.363434:0.000000
x:@0.315231:0.362736:0.320658:0.362736:0.320658:0.350837:0.315231:0.350837:0.000000
y:@0.209798:0.332440:0.215239:0.332440:0.215239:0.320541:0.209798:0.320541:0.000000
1:@0.215237:0.334744:0.219050:0.334744:0.219050:0.327795:0.215237:0.327795:0.000000
0:@0.211627:0.369508:0.218167:0.369508:0.218167:0.357589:0.211627:0.357589:0.000000
L:@0.268867:0.351333:0.274871:0.351333:0.274871:0.339413:0.268867:0.339413:0.000000
1:@0.274878:0.353632:0.278690:0.353632:0.278690:0.346683:0.274878:0.346683:0.000000
L:@0.166776:0.348837:0.172780:0.348837:0.172780:0.336918:0.166776:0.336918:0.000000
2:@0.172780:0.351138:0.176593:0.351138:0.176593:0.344189:0.172780:0.344189:0.000000
y:@0.210279:0.290743:0.215720:0.290743:0.215720:0.278844:0.210279:0.278844:0.000000
a x:@0.488350:0.323795:0.504332:0.323795:0.504332:0.311896:0.488350:0.311896:0.000000:0.000000:0.000000
1:@0.495091:0.326096:0.498904:0.326096:0.498904:0.319147:0.495091:0.319147:0.000000
 + :@0.504332:0.323795:0.518189:0.323795:0.518189:0.311876:0.504332:0.311876:0.000000:0.000000:0.000000
b y:@0.518189:0.323795:0.534183:0.323795:0.534183:0.311896:0.518189:0.311896:0.000000:0.000000:0.000000
1:@0.524929:0.326096:0.528742:0.326096:0.528742:0.319147:0.524929:0.319147:0.000000
 = :@0.534183:0.323795:0.548040:0.323795:0.548040:0.311876:0.534183:0.311876:0.000000:0.000000:0.000000
c:@0.548040:0.323795:0.553616:0.323795:0.553616:0.311896:0.548040:0.311896:0.000000
1:@0.553616:0.326096:0.557428:0.326096:0.557428:0.319147:0.553616:0.319147:0.000000
x:@0.564575:0.356583:0.570003:0.356583:0.570003:0.344684:0.564575:0.344684:0.000000
y:@0.445378:0.289413:0.450820:0.289413:0.450820:0.277514:0.445378:0.277514:0.000000
0:@0.446732:0.361572:0.453272:0.361572:0.453272:0.349653:0.446732:0.349653:0.000000
L:@0.427527:0.338760:0.433531:0.338760:0.433531:0.326840:0.427527:0.326840:0.000000
1:@0.433521:0.341064:0.437334:0.341064:0.437334:0.334115:0.433521:0.334115:0.000000
L:@0.442239:0.348743:0.448243:0.348743:0.448243:0.336823:0.442239:0.336823:0.000000
2:@0.448243:0.351043:0.452056:0.351043:0.452056:0.344095:0.448243:0.344095:0.000000
a x:@0.714821:0.369865:0.730802:0.369865:0.730802:0.357966:0.714821:0.357966:0.000000:0.000000:0.000000
2:@0.721562:0.372166:0.725375:0.372166:0.725375:0.365217:0.721562:0.365217:0.000000
 + :@0.730802:0.369865:0.744660:0.369865:0.744660:0.357946:0.730802:0.357946:0.000000:0.000000:0.000000
b y:@0.744660:0.369865:0.760653:0.369865:0.760653:0.357966:0.744660:0.357966:0.000000:0.000000:0.000000
2:@0.751399:0.372166:0.755212:0.372166:0.755212:0.365217:0.751399:0.365217:0.000000
 = :@0.760653:0.369865:0.774511:0.369865:0.774511:0.357946:0.760653:0.357946:0.000000:0.000000:0.000000
c:@0.774511:0.369865:0.780086:0.369865:0.780086:0.357966:0.774511:0.357966:0.000000
2:@0.780086:0.372166:0.783899:0.372166:0.783899:0.365217:0.780086:0.365217:0.000000
a x:@0.626969:0.337432:0.642951:0.337432:0.642951:0.325533:0.626969:0.325533:0.000000:0.000000:0.000000
1:@0.633711:0.339733:0.637523:0.339733:0.637523:0.332784:0.633711:0.332784:0.000000
 + :@0.642951:0.337432:0.656809:0.337432:0.656809:0.325513:0.642951:0.325513:0.000000:0.000000:0.000000
b y:@0.656809:0.337432:0.672802:0.337432:0.672802:0.325533:0.656809:0.325533:0.000000:0.000000:0.000000
1:@0.663548:0.339733:0.667361:0.339733:0.667361:0.332784:0.663548:0.332784:0.000000
 = :@0.672802:0.337432:0.686660:0.337432:0.686660:0.325513:0.672802:0.325513:0.000000:0.000000:0.000000
c:@0.686660:0.337432:0.692235:0.337432:0.692235:0.325533:0.686660:0.325533:0.000000
1:@0.692235:0.339733:0.696048:0.339733:0.696048:0.332784:0.692235:0.332784:0.000000
y:@0.694641:0.288249:0.700082:0.288249:0.700082:0.276350:0.694641:0.276350:0.000000
x:@0.825711:0.359885:0.831139:0.359885:0.831139:0.347986:0.825711:0.347986:0.000000
0:@0.695512:0.366302:0.702052:0.366302:0.702052:0.354383:0.695512:0.354383:0.000000
L:@0.789580:0.300198:0.795584:0.300198:0.795584:0.288279:0.789580:0.288279:0.000000
1:@0.795581:0.302499:0.799393:0.302499:0.799393:0.295550:0.795581:0.295550:0.000000
L:@0.817344:0.319612:0.823348:0.319612:0.823348:0.307693:0.817344:0.307693:0.000000
2:@0.823348:0.321913:0.827160:0.321913:0.827160:0.314964:0.823348:0.314964:0.000000
Método por igualación:@0.152995:0.401100:0.334194:0.401100:0.334194:0.384200:0.152995:0.384200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Método por sustitución:@0.401805:0.401100:0.587777:0.401100:0.587777:0.384200:0.401805:0.384200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Método por eliminación:@0.653766:0.401100:0.844953:0.401100:0.844953:0.384200:0.653766:0.384200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Este método consiste en despe- Se despeja una incógnita de una  En este método se hacen igua-:@0.122995:0.424999:0.873313:0.424999:0.873313:0.408610:0.122995:0.408610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
jar una incógnita de ambas ecua- de las ecuaciones del sistema  les los coeficientes de una de las :@0.122995:0.441596:0.877358:0.441596:0.877358:0.425207:0.122995:0.425207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones  del  sistema,  al  igualar  se  y  se  reemplaza  en  la  segunda  incógnitas, al multiplicar por un :@0.122995:0.458192:0.877294:0.458192:0.877294:0.441803:0.122995:0.441803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtiene  una sola ecuación  con  ecuación, obteniendo una sola  número real. Si se suman estas :@0.122995:0.474788:0.877331:0.474788:0.877331:0.458399:0.122995:0.458399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una incógnita.:@0.122995:0.491385:0.227683:0.491385:0.227683:0.474996:0.122995:0.474996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación con una incógnita.:@0.377555:0.491385:0.585269:0.491385:0.585269:0.474996:0.377555:0.474996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones, obtendremos una :@0.625388:0.491385:0.877310:0.491385:0.877310:0.474996:0.625388:0.474996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sola ecuación con una incógnita.:@0.625388:0.507981:0.866088:0.507981:0.866088:0.491592:0.625388:0.491592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si :@0.115864:0.736582:0.132301:0.736582:0.132301:0.720193:0.115864:0.720193:0.000000:0.000000:0.000000
multiplicamos:@0.133333:0.736582:0.242683:0.736582:0.242683:0.719958:0.133333:0.719958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a la segunda ecuación por un número entero real (2) y :@0.242683:0.736582:0.659534:0.736582:0.659534:0.720193:0.242683:0.720193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumamos:@0.660566:0.736582:0.735051:0.736582:0.735051:0.719958:0.660566:0.719958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ambas ecuaciones, :@0.735051:0.736582:0.883965:0.736582:0.883965:0.720193:0.735051:0.720193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtenemos:@0.115864:0.753179:0.203929:0.753179:0.203929:0.736555:0.115864:0.736555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 una sola ecuación con una incógnita, :@0.203929:0.753179:0.486477:0.753179:0.486477:0.736790:0.203929:0.736790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encontramos:@0.486757:0.753179:0.588330:0.753179:0.588330:0.736555:0.486757:0.736555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el valor de la incógnita y lo :@0.588330:0.753179:0.793765:0.753179:0.793765:0.736790:0.588330:0.736790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reemplaza-:@0.794056:0.753179:0.879874:0.753179:0.879874:0.736555:0.794056:0.736555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mos:@0.115864:0.769775:0.148647:0.769775:0.148647:0.753151:0.115864:0.753151:0.000000:0.000000:0.000000
 en una de las ecuaciones del sistema.:@0.148647:0.769775:0.426364:0.769775:0.426364:0.753386:0.148647:0.753386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.157562:0.792238:0.167679:0.792238:0.167679:0.776665:0.157562:0.776665:0.000000
=:@0.141549:0.821503:0.151665:0.821503:0.151665:0.805930:0.141549:0.805930:0.000000
=:@0.141544:0.849720:0.151660:0.849720:0.151660:0.834148:0.141544:0.834148:0.000000
13:@0.127410:0.791564:0.145192:0.791564:0.145192:0.775175:0.127410:0.775175:0.000000:0.000000
–26:@0.170604:0.791564:0.197600:0.791564:0.197600:0.775175:0.170604:0.775175:0.000000:0.000000:0.000000
–26:@0.156044:0.812306:0.183041:0.812306:0.183041:0.795917:0.156044:0.795917:0.000000:0.000000:0.000000
13:@0.160283:0.831751:0.178065:0.831751:0.178065:0.815362:0.160283:0.815362:0.000000:0.000000
–2:@0.154579:0.849043:0.172785:0.849043:0.172785:0.832654:0.154579:0.832654:0.000000:0.000000
x:@0.146047:0.791564:0.153510:0.791564:0.153510:0.775203:0.146047:0.775203:0.000000
x:@0.130026:0.820833:0.137489:0.820833:0.137489:0.804471:0.130026:0.804471:0.000000
x:@0.130026:0.849043:0.137489:0.849043:0.137489:0.832682:0.130026:0.832682:0.000000
( ):@0.312115:0.794065:0.343442:0.794065:0.343442:0.774131:0.312115:0.774131:0.000000:0.000000:0.000000
(:@0.370014:0.817088:0.376151:0.817088:0.376151:0.797155:0.370014:0.797155:0.000000
):@0.404363:0.817088:0.410500:0.817088:0.410500:0.797155:0.404363:0.797155:0.000000
+:@0.345149:0.791609:0.355266:0.791609:0.355266:0.776036:0.345149:0.776036:0.000000
=:@0.379811:0.791609:0.389928:0.791609:0.389928:0.776036:0.379811:0.776036:0.000000
=:@0.325098:0.814634:0.335215:0.814634:0.335215:0.799061:0.325098:0.799061:0.000000
=:@0.315571:0.845199:0.325688:0.845199:0.325688:0.829626:0.315571:0.829626:0.000000
=:@0.315571:0.873413:0.325688:0.873413:0.325688:0.857840:0.315571:0.857840:0.000000
5–2:@0.302579:0.790929:0.337113:0.790929:0.337113:0.774540:0.302579:0.774540:0.000000:0.000000:0.000000
6:@0.357641:0.790929:0.366634:0.790929:0.366634:0.774540:0.357641:0.774540:0.000000
20:@0.392451:0.790929:0.410234:0.790929:0.410234:0.774540:0.392451:0.774540:0.000000:0.000000
6:@0.302929:0.813957:0.311922:0.813957:0.311922:0.797568:0.302929:0.797568:0.000000
20– –10:@0.337739:0.813957:0.403784:0.813957:0.403784:0.797568:0.337739:0.797568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.329668:0.836002:0.347451:0.836002:0.347451:0.819613:0.329668:0.819613:0.000000:0.000000
6:@0.334220:0.855447:0.343212:0.855447:0.343212:0.839059:0.334220:0.839059:0.000000
5:@0.328194:0.872735:0.337186:0.872735:0.337186:0.856346:0.328194:0.856346:0.000000
y:@0.368237:0.790929:0.375719:0.790929:0.375719:0.774568:0.368237:0.774568:0.000000
y:@0.313525:0.813957:0.321007:0.813957:0.321007:0.797595:0.313525:0.797595:0.000000
y:@0.303998:0.844522:0.311480:0.844522:0.311480:0.828160:0.303998:0.828160:0.000000
y:@0.303998:0.872735:0.311480:0.872735:0.311480:0.856374:0.303998:0.856374:0.000000
Shutterstock, 740935708.:@0.896371:0.913739:0.896371:0.825913:0.882475:0.825913:0.882475:0.913739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La solución del sistema es:   = –2,   = 5:@0.115891:0.907653:0.399766:0.907653:0.399766:0.891264:0.115891:0.891264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.312272:0.907653:0.319735:0.907653:0.319735:0.891292:0.312272:0.891292:0.000000
y:@0.364238:0.907653:0.371720:0.907653:0.371720:0.891292:0.364238:0.891292:0.000000
Para ampliar el :@0.226823:0.574786:0.327740:0.574786:0.327740:0.559887:0.226823:0.559887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocimiento :@0.226823:0.589874:0.324053:0.589874:0.324053:0.574975:0.226823:0.574975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acerca de este :@0.226823:0.604962:0.325677:0.604962:0.325677:0.590063:0.226823:0.590063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tema, :@0.226823:0.620049:0.267934:0.620049:0.267934:0.605150:0.226823:0.605150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingresa:@0.267934:0.620049:0.318827:0.620049:0.318827:0.604937:0.267934:0.604937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.318827:0.620049:0.322496:0.620049:0.322496:0.605150:0.318827:0.605150:0.000000
en el siguiente :@0.226823:0.635137:0.328174:0.635137:0.328174:0.620238:0.226823:0.620238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace::@0.226823:0.650225:0.273596:0.650225:0.273596:0.635326:0.226823:0.635326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TIC:@0.166436:0.555354:0.186405:0.555354:0.186405:0.533627:0.166436:0.533627:0.000000:0.000000:0.000000
www.mayedu.ec/ctm11/p18:@0.143959:0.667162:0.334248:0.667162:0.334248:0.652036:0.143959:0.652036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000