27:@0.922460:0.966765:0.939432:0.966765:0.939432:0.950778:0.922460:0.950778:0.000000:0.000000
Obtenemos:  3  + 5  = –15,:@0.108233:0.096194:0.318033:0.096194:0.318033:0.079697:0.108233:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.225945:0.096310:0.233420:0.096310:0.233420:0.079841:0.225945:0.079841:0.000000
y:@0.261007:0.096310:0.268694:0.096310:0.268694:0.079841:0.261007:0.079841:0.000000
3  + 5  = –15,:@0.217449:0.113545:0.318033:0.113545:0.318033:0.097047:0.217449:0.097047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.225945:0.113661:0.233420:0.113661:0.233420:0.097192:0.225945:0.097192:0.000000
y:@0.261007:0.113661:0.268694:0.113661:0.268694:0.097192:0.261007:0.097192:0.000000
que se reduce a una sola ecuación 3  + 5  = –15.:@0.108234:0.138024:0.455045:0.138024:0.455045:0.121526:0.108234:0.121526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.362957:0.138140:0.370432:0.138140:0.370432:0.121671:0.362957:0.121671:0.000000
y:@0.398020:0.138140:0.405707:0.138140:0.405707:0.121671:0.398020:0.121671:0.000000
Sea    = ( ,  ) :@0.108234:0.172725:0.205466:0.172725:0.205466:0.156228:0.108234:0.156228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.140638:0.172841:0.148113:0.172841:0.148113:0.156372:0.140638:0.156372:0.000000
:@0.141852:0.173217:0.148267:0.173217:0.148267:0.157399:0.141852:0.157399:0.000000
x y:@0.173312:0.172841:0.195371:0.172841:0.195371:0.156372:0.173312:0.156372:0.000000:0.000000:0.000000
:@0.205466:0.172509:0.221514:0.172509:0.221514:0.157862:0.205466:0.157862:0.000000
 :@0.221509:0.172207:0.225907:0.172207:0.225907:0.158834:0.221509:0.158834:0.000000
:@0.225907:0.171757:0.239816:0.171757:0.239816:0.158311:0.225907:0.158311:0.000000
2:@0.239816:0.166373:0.244770:0.166373:0.244770:0.156755:0.239816:0.156755:0.000000
 una solución.:@0.244770:0.172726:0.343059:0.172726:0.343059:0.156228:0.244770:0.156228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como 3  + 5  = –15     =     (–15 – 5 ), luego,   =  –5 –      ,   :@0.108237:0.207428:0.548467:0.207428:0.548467:0.190930:0.108237:0.190930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.165474:0.207543:0.172949:0.207543:0.172949:0.191075:0.165474:0.191075:0.000000
y:@0.197801:0.207543:0.205488:0.207543:0.205488:0.191075:0.197801:0.191075:0.000000
x:@0.270681:0.207543:0.278156:0.207543:0.278156:0.191075:0.270681:0.191075:0.000000
y:@0.369350:0.207543:0.377037:0.207543:0.377037:0.191075:0.369350:0.191075:0.000000
x:@0.435071:0.207543:0.442546:0.207543:0.442546:0.191075:0.435071:0.191075:0.000000
:@0.436285:0.207919:0.442701:0.207919:0.442701:0.192101:0.436285:0.192101:0.000000
y y ; y :@0.515022:0.207543:0.559756:0.207543:0.559756:0.191075:0.515022:0.191075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.559294:0.207211:0.575342:0.207211:0.575342:0.192564:0.559294:0.192564:0.000000
 :@0.575255:0.206909:0.579652:0.206909:0.579652:0.193536:0.575255:0.193536:0.000000
:@0.579161:0.206459:0.593071:0.206459:0.593071:0.193012:0.579161:0.193012:0.000000
.:@0.593013:0.207428:0.595768:0.207428:0.595768:0.190930:0.593013:0.190930:0.000000
Verificamos si   es o no solución del sistema original propuesto.:@0.108241:0.245758:0.557024:0.245758:0.557024:0.229261:0.108241:0.229261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.210174:0.245874:0.217649:0.245874:0.217649:0.229405:0.210174:0.229405:0.000000
:@0.211388:0.246250:0.217803:0.246250:0.217803:0.230432:0.211388:0.230432:0.000000
Para el efecto, comprobamos si   =  –5 –       ,    ; con   :@0.108241:0.270237:0.502832:0.270237:0.502832:0.253740:0.108241:0.253740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.333159:0.270353:0.340634:0.270353:0.340634:0.253884:0.333159:0.253884:0.000000
:@0.334377:0.270729:0.340792:0.270729:0.340792:0.254911:0.334377:0.254911:0.000000
y y:@0.422516:0.270353:0.444786:0.270353:0.444786:0.253884:0.422516:0.253884:0.000000:0.000000:0.000000
y:@0.491061:0.270353:0.498748:0.270353:0.498748:0.253884:0.491061:0.253884:0.000000
:@0.502775:0.270020:0.518823:0.270020:0.518823:0.255374:0.502775:0.255374:0.000000
 :@0.518749:0.269719:0.523146:0.269719:0.523146:0.256345:0.518749:0.256345:0.000000
:@0.523094:0.269269:0.537004:0.269269:0.537004:0.255822:0.523094:0.255822:0.000000
satisface la tercera ecuación. Tenemos que::@0.108236:0.294716:0.409273:0.294716:0.409273:0.278219:0.108236:0.278219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 –5 –        + 5  = –15 – 5  + 5  = –15, 0 = 0, que es verdad:@0.108236:0.322752:0.534035:0.322752:0.534035:0.306255:0.108236:0.306255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.175222:0.322868:0.182909:0.322868:0.182909:0.306399:0.175222:0.306399:0.000000
y:@0.214638:0.322868:0.222325:0.322868:0.222325:0.306399:0.214638:0.306399:0.000000
y:@0.296188:0.322868:0.303875:0.322868:0.303875:0.306399:0.296188:0.306399:0.000000
y:@0.331463:0.322868:0.339150:0.322868:0.339150:0.306399:0.331463:0.306399:0.000000
o sea,   =  –5 –      , y   = (–5, 0) + y  –     , 1   con   :@0.108236:0.364582:0.469980:0.364582:0.469980:0.348084:0.108236:0.348084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.151602:0.364698:0.159077:0.364698:0.159077:0.348229:0.151602:0.348229:0.000000
:@0.152816:0.365074:0.159232:0.365074:0.159232:0.349256:0.152816:0.349256:0.000000
y:@0.236813:0.364698:0.244500:0.364698:0.244500:0.348229:0.236813:0.348229:0.000000
y:@0.458207:0.364698:0.465894:0.364698:0.465894:0.348229:0.458207:0.348229:0.000000
:@0.469922:0.364365:0.485970:0.364365:0.485970:0.349718:0.469922:0.349718:0.000000
 :@0.485902:0.364069:0.490300:0.364069:0.490300:0.350696:0.485902:0.350696:0.000000
:@0.490246:0.363619:0.504156:0.363619:0.504156:0.350172:0.490246:0.350172:0.000000
, es solución:@0.504098:0.364588:0.589961:0.364588:0.589961:0.348090:0.504098:0.348090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del sistema de ecuaciones propuesto. Consecuentemente, el conjun-:@0.108236:0.389067:0.595762:0.389067:0.595762:0.372569:0.108236:0.372569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
to solución se escribe como::@0.108236:0.406418:0.309804:0.406418:0.309804:0.389920:0.108236:0.389920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.171946:0.434569:0.179825:0.434569:0.179825:0.418100:0.171946:0.418100:0.000000
 =   (–5,0) +    –     , 1  |   :@0.179825:0.434453:0.360225:0.434453:0.360225:0.417956:0.179825:0.417956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.268445:0.434569:0.276132:0.434569:0.276132:0.418100:0.268445:0.418100:0.000000
y:@0.348454:0.434569:0.356141:0.434569:0.356141:0.418100:0.348454:0.418100:0.000000
:@0.360167:0.434237:0.376215:0.434237:0.376215:0.419590:0.360167:0.419590:0.000000
 :@0.376154:0.433941:0.380552:0.433941:0.380552:0.420568:0.376154:0.420568:0.000000
:@0.380498:0.433491:0.394408:0.433491:0.394408:0.420044:0.380498:0.420044:0.000000
    o                         :@0.394350:0.434460:0.524005:0.434460:0.524005:0.417962:0.394350:0.417962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una solución particular es: si   = 0 ;   = –5; otra solución si   = 6; :@0.108241:0.476290:0.600022:0.476290:0.600022:0.459792:0.108241:0.459792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.324145:0.476405:0.331832:0.476405:0.331832:0.459936:0.324145:0.459936:0.000000
x:@0.378088:0.476405:0.385563:0.476405:0.385563:0.459936:0.378088:0.459936:0.000000
y:@0.554036:0.476405:0.561722:0.476405:0.561722:0.459936:0.554036:0.459936:0.000000
x:@0.108241:0.493756:0.115716:0.493756:0.115716:0.477287:0.108241:0.477287:0.000000
 = 15. El sistema tiene infinitas soluciones.:@0.115716:0.493640:0.409508:0.493640:0.409508:0.477143:0.115716:0.477143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.108241:0.528718:0.226220:0.528718:0.226220:0.511931:0.108241:0.511931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Considera el siguiente sistema de ecuaciones lineales:  :@0.108241:0.545693:0.490998:0.545693:0.490998:0.529195:0.108241:0.529195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3  –     = 2,:@0.274442:0.570172:0.355510:0.570172:0.355510:0.553674:0.274442:0.553674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.282938:0.570287:0.290413:0.570287:0.290413:0.553818:0.282938:0.553818:0.000000
y:@0.317481:0.570287:0.325167:0.570287:0.325167:0.553818:0.317481:0.553818:0.000000
( ,  ) :@0.108241:0.587522:0.146347:0.587522:0.146347:0.571025:0.108241:0.571025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.114194:0.587638:0.136252:0.587638:0.136252:0.571169:0.114194:0.571169:0.000000:0.000000:0.000000
:@0.146347:0.587305:0.162395:0.587305:0.162395:0.572658:0.146347:0.572658:0.000000
 :@0.162387:0.587004:0.166784:0.587004:0.166784:0.573630:0.162387:0.573630:0.000000
:@0.166784:0.586554:0.180694:0.586554:0.180694:0.573107:0.166784:0.573107:0.000000
2:@0.180694:0.581169:0.185647:0.581169:0.185647:0.571551:0.180694:0.571551:0.000000
, tal que  :@0.185646:0.587522:0.249973:0.587522:0.249973:0.571025:0.185646:0.571025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    – 5  = 10,:@0.274440:0.587522:0.364004:0.587522:0.364004:0.571025:0.274440:0.571025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.282724:0.587638:0.290199:0.587638:0.290199:0.571169:0.282724:0.571169:0.000000
y:@0.317479:0.587638:0.325166:0.587638:0.325166:0.571169:0.317479:0.571169:0.000000
4  + 7  = –14.:@0.274440:0.604873:0.375024:0.604873:0.375024:0.588375:0.274440:0.588375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.282936:0.604989:0.290411:0.604989:0.290411:0.588520:0.282936:0.588520:0.000000
y:@0.317999:0.604989:0.325686:0.604989:0.325686:0.588520:0.317999:0.588520:0.000000
 :@0.108239:0.622224:0.112381:0.622224:0.112381:0.605726:0.108239:0.605726:0.000000
Hallamos la solución de este sistema y denotamos con   al conjunto :@0.108239:0.639575:0.600000:0.639575:0.600000:0.623077:0.108239:0.623077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.502038:0.639690:0.509918:0.639690:0.509918:0.623221:0.502038:0.623221:0.000000
solución. Procedemos como en el ejemplo anterior. :@0.108239:0.656925:0.475429:0.656925:0.475429:0.640428:0.108239:0.640428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primeramente, hallamos una solución de  3  –     = 2,:@0.108239:0.691627:0.493217:0.691627:0.493217:0.675129:0.108239:0.675129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.420644:0.691742:0.428119:0.691742:0.428119:0.675274:0.420644:0.675274:0.000000
y:@0.455187:0.691742:0.462874:0.691742:0.462874:0.675274:0.455187:0.675274:0.000000
 :@0.108238:0.708978:0.112380:0.708978:0.112380:0.692480:0.108238:0.692480:0.000000
    – 5  = 10.:@0.412148:0.708978:0.501713:0.708978:0.501713:0.692480:0.412148:0.692480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.420432:0.709093:0.427907:0.709093:0.427907:0.692624:0.420432:0.692624:0.000000
y:@0.455187:0.709093:0.462874:0.709093:0.462874:0.692624:0.455187:0.692624:0.000000
Para ello, aplicamos el método de sustitución. De la primera ecua-:@0.108239:0.741409:0.595704:0.741409:0.595704:0.724911:0.108239:0.724911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción obtenemos   = 3  –2 y; reemplazando en la segunda, obtene-:@0.108239:0.758760:0.595785:0.758760:0.595785:0.742262:0.108239:0.742262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.231671:0.758875:0.239358:0.758875:0.239358:0.742407:0.231671:0.742407:0.000000
x:@0.269162:0.758875:0.276637:0.758875:0.276637:0.742407:0.269162:0.742407:0.000000
mos   – 5(3  –2) = 10, de donde –14  = 0. De esta, obtenemos   = 0, :@0.108239:0.776111:0.599946:0.776111:0.599946:0.759613:0.108239:0.759613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.142993:0.776226:0.150468:0.776226:0.150468:0.759757:0.142993:0.759757:0.000000
x:@0.191889:0.776226:0.199364:0.776226:0.199364:0.759757:0.191889:0.759757:0.000000
x:@0.371246:0.776226:0.378721:0.776226:0.378721:0.759757:0.371246:0.759757:0.000000
x:@0.558487:0.776226:0.565962:0.776226:0.565962:0.759757:0.558487:0.759757:0.000000
con lo que   = 3  – 2 = 3 × 0 – 2 = –2.:@0.108258:0.793461:0.384349:0.793461:0.384349:0.776964:0.108258:0.776964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.188941:0.793577:0.196628:0.793577:0.196628:0.777108:0.188941:0.777108:0.000000
x:@0.224601:0.793577:0.232076:0.793577:0.232076:0.777108:0.224601:0.777108:0.000000
Una solución es    = (0, –2).:@0.108258:0.828163:0.305188:0.828163:0.305188:0.811665:0.108258:0.811665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.229415:0.828278:0.236890:0.828278:0.236890:0.811810:0.229415:0.811810:0.000000
:@0.230631:0.828654:0.237046:0.828654:0.237046:0.812836:0.230631:0.812836:0.000000
Verificamos si esta es la solución del sistema de ecuaciones propues-:@0.108258:0.862864:0.595785:0.862864:0.595785:0.846367:0.108258:0.846367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
to; reemplazamos en la tercera ecuación.:@0.108258:0.880215:0.396058:0.880215:0.396058:0.863717:0.108258:0.863717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4  + 7  = 4 × 0 + 7 × (–2) = –14. Así,   = {(0, –2)}.:@0.174858:0.904694:0.529185:0.904694:0.529185:0.888196:0.174858:0.888196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.183354:0.904810:0.190829:0.904810:0.190829:0.888341:0.183354:0.888341:0.000000
y:@0.218417:0.904810:0.226104:0.904810:0.226104:0.888341:0.218417:0.888341:0.000000
S:@0.441451:0.904810:0.449330:0.904810:0.449330:0.888341:0.441451:0.888341:0.000000
Este es un ejemplo de un sistema de tres ecuaciones lineales con dos :@0.108258:0.929173:0.599985:0.929173:0.599985:0.912675:0.108258:0.912675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnitas que tiene una solución.:@0.108258:0.946524:0.350496:0.946524:0.350496:0.930026:0.108258:0.930026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.300500:0.200429:0.308996:0.200429:0.308996:0.183932:0.300500:0.183932:0.000000
3:@0.300500:0.216768:0.308996:0.216768:0.308996:0.200270:0.300500:0.200270:0.000000
5:@0.502254:0.200074:0.510750:0.200074:0.510750:0.183576:0.502254:0.183576:0.000000
3:@0.502254:0.216412:0.510750:0.216412:0.510750:0.199915:0.502254:0.199915:0.000000
5:@0.407004:0.262896:0.415500:0.262896:0.415500:0.246398:0.407004:0.246398:0.000000
3:@0.407004:0.279235:0.415500:0.279235:0.415500:0.262737:0.407004:0.262737:0.000000
5:@0.160137:0.315881:0.168633:0.315881:0.168633:0.299383:0.160137:0.299383:0.000000
3:@0.160137:0.332220:0.168633:0.332220:0.168633:0.315722:0.160137:0.315722:0.000000
5:@0.222727:0.357719:0.231223:0.357719:0.231223:0.341221:0.222727:0.341221:0.000000
3:@0.222727:0.374058:0.231223:0.374058:0.231223:0.357560:0.222727:0.357560:0.000000
5:@0.387626:0.357719:0.396122:0.357719:0.396122:0.341221:0.387626:0.341221:0.000000
3:@0.387626:0.374058:0.396122:0.374058:0.396122:0.357560:0.387626:0.357560:0.000000
5:@0.304653:0.427584:0.313149:0.427584:0.313149:0.411086:0.304653:0.411086:0.000000
3:@0.304653:0.443922:0.313149:0.443922:0.313149:0.427425:0.304653:0.427425:0.000000
Interdisciplinariedad:@0.684804:0.463722:0.831589:0.463722:0.831589:0.448250:0.684804:0.448250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática e Historia:@0.685042:0.492772:0.840710:0.492772:0.840710:0.477300:0.685042:0.477300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Johann Carl Friedrich Gauss :@0.638498:0.508192:0.821239:0.508192:0.821239:0.493129:0.638498:0.493129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(1777-1855) fue conocido :@0.638498:0.524034:0.810316:0.524034:0.810316:0.508971:0.638498:0.508971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como el ‘príncipe de las :@0.638498:0.539876:0.795100:0.539876:0.795100:0.524813:0.638498:0.524813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas’. La anécdota :@0.638498:0.555718:0.812923:0.555718:0.812923:0.540655:0.638498:0.540655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más conocida de su infancia :@0.638498:0.571560:0.825252:0.571560:0.825252:0.556497:0.638498:0.556497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fue a los 7 años, cuando su :@0.638498:0.587402:0.815222:0.587402:0.815222:0.572338:0.638498:0.572338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
profesor castigó a toda la clase :@0.638498:0.603244:0.840131:0.603244:0.840131:0.588180:0.638498:0.588180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pidiéndoles sumar los números :@0.638498:0.619086:0.844878:0.619086:0.844878:0.604022:0.638498:0.604022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
naturales del 1 al 100. Casi de :@0.638498:0.634928:0.830613:0.634928:0.830613:0.619864:0.638498:0.619864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma inmediata, Gauss tenía la :@0.638498:0.650770:0.846323:0.650770:0.846323:0.635706:0.638498:0.635706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respuesta correcta: 5050.:@0.638498:0.666612:0.797651:0.666612:0.797651:0.651548:0.638498:0.651548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.638503:0.858337:0.649984:0.858337:0.649984:0.848312:0.638503:0.848312:0.000000
 :@0.649984:0.859045:0.652865:0.859045:0.652865:0.847568:0.649984:0.847568:0.000000
Carl Gauss (1777 - 1855).:@0.652865:0.859045:0.775183:0.859045:0.775183:0.847568:0.652865:0.847568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga:@0.638503:0.882147:0.686135:0.882147:0.686135:0.866675:0.638503:0.866675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 sobre Johann Carl Frie-:@0.686135:0.881724:0.837253:0.881724:0.837253:0.866661:0.686135:0.866661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
drich Gauss, luego :@0.638503:0.897566:0.760786:0.897566:0.760786:0.882503:0.638503:0.882503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
confecciona :@0.760786:0.897989:0.848912:0.897989:0.848912:0.882517:0.760786:0.882517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una ficha bibliográfica.:@0.638503:0.913408:0.784499:0.913408:0.784499:0.898345:0.638503:0.898345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 88369741:@0.871305:0.839075:0.871305:0.774228:0.859836:0.774228:0.859836:0.839075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.505707:0.421145:0.514203:0.421145:0.514203:0.404647:0.505707:0.404647:0.000000
3:@0.505707:0.437484:0.514203:0.437484:0.514203:0.420986:0.505707:0.420986:0.000000
x:@0.437547:0.428389:0.445022:0.428389:0.445022:0.411920:0.437547:0.411920:0.000000
 = –5 –      :@0.445022:0.428273:0.522603:0.428273:0.522603:0.411776:0.445022:0.411776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.522603:0.428389:0.530290:0.428389:0.530290:0.411920:0.522603:0.411920:0.000000
y:@0.437547:0.452868:0.445233:0.452868:0.445233:0.436399:0.437547:0.436399:0.000000
 :@0.445176:0.452752:0.449318:0.452752:0.449318:0.436255:0.445176:0.436255:0.000000
:@0.449260:0.452535:0.465308:0.452535:0.465308:0.437888:0.449260:0.437888:0.000000
 :@0.465252:0.452234:0.469649:0.452234:0.469649:0.438860:0.465252:0.438860:0.000000
:@0.469597:0.451783:0.483507:0.451783:0.483507:0.438337:0.469597:0.438337:0.000000
Competencia :@0.685338:0.099100:0.782961:0.099100:0.782961:0.083627:0.685338:0.083627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.685338:0.111668:0.769401:0.111668:0.769401:0.096195:0.685338:0.096195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los sistemas de tres :@0.685576:0.136142:0.817622:0.136142:0.817622:0.121079:0.685576:0.121079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones con dos incógnitas :@0.639033:0.151984:0.843212:0.151984:0.843212:0.136921:0.639033:0.136921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se caracterizan, en general, por :@0.639033:0.167826:0.842778:0.167826:0.842778:0.152763:0.639033:0.152763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no tener solución. Cuando no :@0.639033:0.183668:0.839049:0.183668:0.839049:0.168605:0.639033:0.168605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen solución, a estos sis-:@0.639033:0.199510:0.815232:0.199510:0.815232:0.184447:0.639033:0.184447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
temas de ecuaciones lineales :@0.639033:0.215352:0.830847:0.215352:0.830847:0.200289:0.639033:0.200289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se les conoce como sistemas :@0.639033:0.231194:0.830145:0.231194:0.830145:0.216131:0.639033:0.216131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inconsistentes.:@0.639033:0.247036:0.734195:0.247036:0.734195:0.231973:0.639033:0.231973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000