15:@0.922460:0.966765:0.939432:0.966765:0.939432:0.950778:0.922460:0.950778:0.000000:0.000000
El conjunto solución   se expresa como: :@0.108233:0.096194:0.395784:0.096194:0.395784:0.079697:0.108233:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.258558:0.096310:0.266437:0.096310:0.266437:0.079841:0.258558:0.079841:0.000000
S:@0.250295:0.120789:0.258175:0.120789:0.258175:0.104320:0.250295:0.104320:0.000000
 = {( , 4 +  , 4 –  ) |   :@0.258175:0.120673:0.410967:0.120673:0.410967:0.104176:0.258175:0.104176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.289076:0.120789:0.296551:0.120789:0.296551:0.104320:0.289076:0.104320:0.000000
x:@0.331036:0.120789:0.338511:0.120789:0.338511:0.104320:0.331036:0.104320:0.000000
x x:@0.372687:0.120789:0.406883:0.120789:0.406883:0.104320:0.372687:0.104320:0.000000:0.000000:0.000000
:@0.410909:0.120456:0.426957:0.120456:0.426957:0.105809:0.410909:0.105809:0.000000
 :@0.426897:0.120155:0.431295:0.120155:0.431295:0.106782:0.426897:0.106782:0.000000
:@0.431241:0.119705:0.445151:0.119705:0.445151:0.106258:0.431241:0.106258:0.000000
}.:@0.445093:0.120674:0.453704:0.120674:0.453704:0.104176:0.445093:0.104176:0.000000:0.000000
Para   = 0, una solución es (0, 4, 4). Para   = –2, otra solución es :@0.108240:0.155375:0.599870:0.155375:0.599870:0.138878:0.108240:0.138878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.145460:0.155491:0.152935:0.155491:0.152935:0.139022:0.145460:0.139022:0.000000
x:@0.417948:0.155491:0.425423:0.155491:0.425423:0.139022:0.417948:0.139022:0.000000
(–2, 2, 6). Puede comprobarse inmediatamente que (0, 4, 4) es so-:@0.108240:0.172726:0.595776:0.172726:0.595776:0.156228:0.108240:0.156228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lución del sistema propuesto. :@0.108240:0.190077:0.328576:0.190077:0.328576:0.173579:0.108240:0.173579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Análogamente, (–2, 2, 6) es otra solución. :@0.108240:0.224778:0.405366:0.224778:0.405366:0.208281:0.108240:0.208281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribimos (0, 4, 4), (–2, 2, 6)    .:@0.108240:0.242129:0.343854:0.242129:0.343854:0.225631:0.108240:0.225631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.313085:0.241912:0.329133:0.241912:0.329133:0.227265:0.313085:0.227265:0.000000
S:@0.333219:0.242245:0.341099:0.242245:0.341099:0.225776:0.333219:0.225776:0.000000
Este es un ejemplo de un :@0.108240:0.276831:0.288021:0.276831:0.288021:0.260333:0.108240:0.260333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema de ecuaciones:@0.287540:0.277293:0.455935:0.277293:0.455935:0.260347:0.287540:0.260347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que admite una :@0.455935:0.276831:0.575168:0.276831:0.575168:0.260333:0.455935:0.260333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
in-:@0.574686:0.277293:0.595762:0.277293:0.595762:0.260347:0.574686:0.260347:0.000000:0.000000:0.000000
finidad de soluciones :@0.108240:0.294644:0.273168:0.294644:0.273168:0.277698:0.108240:0.277698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y, por lo tanto, pertenece a la clase de sistemas :@0.272515:0.294181:0.599962:0.294181:0.599962:0.277684:0.272515:0.277684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ecuaciones :@0.108240:0.311532:0.213120:0.311532:0.213120:0.295034:0.108240:0.295034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobredeterminado:@0.213120:0.311995:0.356159:0.311995:0.356159:0.295049:0.213120:0.295049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.356164:0.311532:0.358919:0.311532:0.358919:0.295034:0.356164:0.295034:0.000000
Ejercicio resuelto:@0.108240:0.346610:0.226218:0.346610:0.226218:0.329823:0.108240:0.329823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Veamos un ejemplo de :@0.108240:0.363584:0.277657:0.363584:0.277657:0.347087:0.108240:0.347087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema inconsistente:@0.277946:0.364047:0.442452:0.364047:0.442452:0.347101:0.277946:0.347101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de tres ecuaciones li-:@0.442452:0.363584:0.595726:0.363584:0.595726:0.347087:0.442452:0.347087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
neales con tres incógnitas::@0.108240:0.380935:0.293281:0.380935:0.293281:0.364437:0.108240:0.364437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 2 +     + 3  = 6,:@0.288697:0.405414:0.406524:0.405414:0.406524:0.388917:0.288697:0.388917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.299409:0.405530:0.311026:0.405530:0.311026:0.389061:0.299409:0.389061:0.000000:0.000000
y:@0.334260:0.405530:0.341947:0.405530:0.341947:0.389061:0.334260:0.389061:0.000000
z:@0.369534:0.405530:0.376181:0.405530:0.376181:0.389061:0.369534:0.389061:0.000000
 5 – 2  + 3  = –6,:@0.288697:0.422765:0.416927:0.422765:0.416927:0.406267:0.288697:0.406267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.299409:0.422881:0.311026:0.422881:0.311026:0.406412:0.299409:0.406412:0.000000:0.000000
y:@0.334163:0.422881:0.341850:0.422881:0.341850:0.406412:0.334163:0.406412:0.000000
z:@0.369438:0.422881:0.376085:0.422881:0.376085:0.406412:0.369438:0.406412:0.000000
– + 4  + 3  = 6.:@0.288697:0.440116:0.406524:0.440116:0.406524:0.423618:0.288697:0.423618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.299197:0.440231:0.310814:0.440231:0.310814:0.423763:0.299197:0.423763:0.000000:0.000000
y:@0.334260:0.440231:0.341947:0.440231:0.341947:0.423763:0.334260:0.423763:0.000000
z:@0.369534:0.440231:0.376181:0.440231:0.376181:0.423763:0.369534:0.423763:0.000000
Aplicamos el método de sustitución. De la primera ecuación:@0.108240:0.474817:0.537215:0.474817:0.537215:0.458320:0.108240:0.458320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtenemos   =      (6 – 2  –  ). Al reemplazar   en las dos restantes, :@0.108240:0.499296:0.586667:0.499296:0.586667:0.482799:0.108240:0.482799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.193643:0.499412:0.200289:0.499412:0.200289:0.482943:0.193643:0.482943:0.000000
x y:@0.281820:0.499412:0.315765:0.499412:0.315765:0.482943:0.281820:0.482943:0.000000:0.000000:0.000000
z:@0.431586:0.499412:0.438232:0.499412:0.438232:0.482943:0.431586:0.482943:0.000000
obtenemos: :@0.108240:0.516647:0.196689:0.516647:0.196689:0.500149:0.108240:0.500149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 5 – 2  + 3       (6 – 2  –  )  = –6:@0.250706:0.541126:0.485742:0.541126:0.485742:0.524628:0.250706:0.524628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.262863:0.541242:0.274480:0.541242:0.274480:0.524773:0.262863:0.524773:0.000000:0.000000
y:@0.297617:0.541242:0.305304:0.541242:0.305304:0.524773:0.297617:0.524773:0.000000
x y:@0.403615:0.541242:0.437560:0.541242:0.437560:0.524773:0.403615:0.524773:0.000000:0.000000:0.000000
 – + 4  + 3       (6 – 2  –  )  = 6,:@0.250706:0.572733:0.478865:0.572733:0.478865:0.556236:0.250706:0.556236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.263421:0.572849:0.275038:0.572849:0.275038:0.556380:0.263421:0.556380:0.000000:0.000000
y:@0.298484:0.572849:0.306171:0.572849:0.306171:0.556380:0.298484:0.556380:0.000000
x y:@0.404482:0.572849:0.438427:0.572849:0.438427:0.556380:0.404482:0.556380:0.000000:0.000000:0.000000
que, luego de algunas simplificaciones, queda como::@0.108240:0.607435:0.478339:0.607435:0.478339:0.590937:0.108240:0.590937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   3 – 3  = –12,:@0.288697:0.631914:0.399665:0.631914:0.399665:0.615416:0.288697:0.615416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.307886:0.632029:0.319503:0.632029:0.319503:0.615561:0.307886:0.615561:0.000000:0.000000
y:@0.342640:0.632029:0.350327:0.632029:0.350327:0.615561:0.342640:0.615561:0.000000
–3 + 3  = 0.:@0.288697:0.649265:0.380785:0.649265:0.380785:0.632767:0.288697:0.632767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.307693:0.649380:0.319310:0.649380:0.319310:0.632911:0.307693:0.632911:0.000000:0.000000
y:@0.342756:0.649380:0.350443:0.649380:0.350443:0.632911:0.342756:0.632911:0.000000
Si en el sistema de ecuaciones precedente la primera ecuación se:@0.108240:0.681696:0.566574:0.681696:0.566574:0.665198:0.108240:0.665198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplica por      y la segunda se multiplica por –     , se deduce:@0.108240:0.706175:0.559234:0.706175:0.559234:0.689677:0.108240:0.689677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el siguiente sistema: :@0.108240:0.730654:0.250782:0.730654:0.250782:0.714156:0.108240:0.714156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y:@0.288697:0.755249:0.322643:0.755249:0.322643:0.738780:0.288697:0.738780:0.000000:0.000000:0.000000:0.000000
–   = –4,:@0.300314:0.755133:0.363485:0.755133:0.363485:0.738635:0.300314:0.738635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y:@0.288697:0.772600:0.322643:0.772600:0.322643:0.756131:0.288697:0.756131:0.000000:0.000000:0.000000:0.000000
–   = 0.:@0.300314:0.772484:0.352986:0.772484:0.352986:0.755986:0.300314:0.755986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si de la primera ecuación se obtiene   =   – 4 y se reemplaza en la :@0.108240:0.804915:0.599787:0.804915:0.599787:0.788418:0.108240:0.788418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.376794:0.805031:0.384268:0.805031:0.384268:0.788562:0.376794:0.788562:0.000000
y:@0.405942:0.805031:0.413629:0.805031:0.413629:0.788562:0.405942:0.788562:0.000000
segunda ecuación, se obtiene: :@0.108240:0.822266:0.323350:0.822266:0.323350:0.805768:0.108240:0.805768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.306113:0.839732:0.313800:0.839732:0.313800:0.823264:0.306113:0.823264:0.000000
 – 4 –   = 0,:@0.313800:0.839617:0.397893:0.839617:0.397893:0.823119:0.313800:0.823119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.359863:0.839732:0.367550:0.839732:0.367550:0.823264:0.359863:0.823264:0.000000
donde –4 = 0, lo que es un absurdo. El :@0.108240:0.872048:0.415923:0.872048:0.415923:0.855551:0.108240:0.855551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema de ecuaciones:@0.419468:0.872511:0.595687:0.872511:0.595687:0.855565:0.419468:0.855565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.595687:0.872048:0.599907:0.872048:0.599907:0.855551:0.595687:0.855551:0.000000:0.000000
propuesto :@0.108240:0.889399:0.186147:0.889399:0.186147:0.872901:0.108240:0.872901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no tiene solución:@0.186147:0.889862:0.318150:0.889862:0.318150:0.872916:0.186147:0.872916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.318150:0.889399:0.320905:0.889399:0.320905:0.872901:0.318150:0.872901:0.000000
En este caso, decimos que el conjunto solución   es vacío y escribi-:@0.108240:0.924101:0.595820:0.924101:0.595820:0.907603:0.108240:0.907603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.456303:0.924216:0.464183:0.924216:0.464183:0.907747:0.456303:0.907747:0.000000
mos   = Ø.:@0.108240:0.941451:0.185915:0.941451:0.185915:0.924954:0.108240:0.924954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.143110:0.941567:0.150989:0.941567:0.150989:0.925098:0.143110:0.925098:0.000000
1:@0.225776:0.491850:0.234272:0.491850:0.234272:0.475353:0.225776:0.475353:0.000000
3:@0.225776:0.508189:0.234272:0.508189:0.234272:0.491691:0.225776:0.491691:0.000000
1:@0.344718:0.533519:0.353214:0.533519:0.353214:0.517021:0.344718:0.517021:0.000000
3:@0.344718:0.549857:0.353214:0.549857:0.353214:0.533360:0.344718:0.533360:0.000000
1:@0.346394:0.565308:0.354889:0.565308:0.354889:0.548811:0.346394:0.548811:0.000000
3:@0.346394:0.581647:0.354889:0.581647:0.354889:0.565149:0.346394:0.565149:0.000000
1:@0.218454:0.698660:0.226950:0.698660:0.226950:0.682162:0.218454:0.682162:0.000000
3:@0.218454:0.714999:0.226950:0.714999:0.226950:0.698501:0.218454:0.698501:0.000000
1:@0.466389:0.698660:0.474885:0.698660:0.474885:0.682162:0.466389:0.682162:0.000000
3:@0.466389:0.714999:0.474885:0.714999:0.474885:0.698501:0.466389:0.698501:0.000000
Interdisciplinariedad:@0.684408:0.111058:0.831193:0.111058:0.831193:0.095586:0.684408:0.095586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática  :@0.684646:0.140108:0.776660:0.140108:0.776660:0.124636:0.684646:0.124636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e Informática :@0.638103:0.155950:0.735991:0.155950:0.735991:0.140478:0.638103:0.140478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la actualidad, vivimos una :@0.638103:0.171369:0.828179:0.171369:0.828179:0.156306:0.638103:0.156306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
revolución tecnológica acele-:@0.638103:0.187211:0.828233:0.187211:0.828233:0.172148:0.638103:0.172148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rada, en la que los programas :@0.638103:0.203053:0.830729:0.203053:0.830729:0.187990:0.638103:0.187990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
computacionales resuelven :@0.638103:0.218895:0.818242:0.218895:0.818242:0.203832:0.638103:0.203832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grandes sistemas de ecuaciones :@0.638103:0.234737:0.845964:0.234737:0.845964:0.219674:0.638103:0.219674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con igual número de incógni-:@0.638103:0.250579:0.829551:0.250579:0.829551:0.235516:0.638103:0.235516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tas en pocos minutos. Así, por :@0.638103:0.266421:0.838204:0.266421:0.838204:0.251358:0.638103:0.251358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo, para el análisis de los :@0.638103:0.282263:0.833841:0.282263:0.833841:0.267200:0.638103:0.267200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esfuerzos de las estructuras de :@0.638103:0.298105:0.838008:0.298105:0.838008:0.283042:0.638103:0.283042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acero de un :@0.638103:0.313947:0.718437:0.313947:0.718437:0.298884:0.638103:0.298884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rascacielos:@0.718437:0.314145:0.790714:0.314145:0.790714:0.298884:0.718437:0.298884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de cien :@0.790714:0.313947:0.845067:0.313947:0.845067:0.298884:0.790714:0.298884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pisos de altura, fue necesario :@0.638103:0.329789:0.827667:0.329789:0.827667:0.314726:0.638103:0.314726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolver un sistema de 1 500 :@0.638103:0.345631:0.823887:0.345631:0.823887:0.330568:0.638103:0.330568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones :@0.638103:0.361473:0.713773:0.361473:0.713773:0.346410:0.638103:0.346410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simultáneas :@0.713773:0.361671:0.798045:0.361671:0.798045:0.346410:0.713773:0.346410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que, :@0.798045:0.361473:0.829143:0.361473:0.829143:0.346410:0.798045:0.346410:0.000000:0.000000:0.000000:0.000000:0.000000
gracias a la tecnología, fueron :@0.638103:0.377315:0.832823:0.377315:0.832823:0.362252:0.638103:0.362252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resueltas en 15 minutos.:@0.638103:0.393157:0.794283:0.393157:0.794283:0.378094:0.638103:0.378094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.638108:0.676189:0.649588:0.676189:0.649588:0.666165:0.638108:0.666165:0.000000
 :@0.649588:0.676897:0.652470:0.676897:0.652470:0.665420:0.649588:0.665420:0.000000
Torre Oriental Pearl y el Centro  :@0.652470:0.676897:0.810720:0.676897:0.810720:0.665420:0.652470:0.665420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Financiero de Shanghai.:@0.638103:0.688967:0.753964:0.688967:0.753964:0.677490:0.638103:0.677490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Investiga responde:@0.638108:0.715067:0.780937:0.715067:0.780937:0.699594:0.638108:0.699594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.700711:0.714644:0.715416:0.714644:0.715416:0.699581:0.700711:0.699581:0.000000:0.000000:0.000000
: ¿qué :@0.780939:0.714644:0.820921:0.714644:0.820921:0.699581:0.780939:0.699581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se logra con la reducción de :@0.638108:0.730486:0.823468:0.730486:0.823468:0.715423:0.638108:0.715423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiempo en las operaciones :@0.638108:0.746328:0.812351:0.746328:0.812351:0.731265:0.638108:0.731265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas a través del uso de :@0.638108:0.762170:0.848516:0.762170:0.848516:0.747107:0.638108:0.747107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
programas computacionales?:@0.638108:0.778012:0.828078:0.778012:0.828078:0.762949:0.638108:0.762949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 125851601:@0.871305:0.663225:0.871305:0.595052:0.859836:0.595052:0.859836:0.663225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.684804:0.826807:0.752269:0.826807:0.752269:0.809125:0.684804:0.809125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rascacielos. :@0.685042:0.853621:0.764371:0.853621:0.764371:0.838359:0.685042:0.838359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Edificio de :@0.764371:0.853423:0.835609:0.853423:0.835609:0.838359:0.764371:0.838359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gran altura y muchos pisos.:@0.638498:0.869265:0.814573:0.869265:0.814573:0.854201:0.638498:0.854201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simutáneo, simultánea. :@0.638498:0.892433:0.798794:0.892433:0.798794:0.877172:0.638498:0.877172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dicho :@0.798794:0.892235:0.842117:0.892235:0.842117:0.877172:0.798794:0.877172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una cosa: que se hace u ocu-:@0.638498:0.908077:0.844388:0.908077:0.844388:0.893014:0.638498:0.893014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rre al mismo tiempo que otra.:@0.638498:0.923919:0.832198:0.923919:0.832198:0.908856:0.638498:0.908856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.632070:0.830539:0.643474:0.829030:0.638272:0.806885:0.626867:0.808394:0.000000
c:@0.635451:0.841508:0.646050:0.840106:0.640968:0.818471:0.630369:0.819874:0.000000
b:@0.645827:0.834291:0.658540:0.832608:0.653408:0.810766:0.640695:0.812448:0.000000
 ©:@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