23:@0.922460:0.966765:0.939432:0.966765:0.939432:0.950778:0.922460:0.950778:0.000000:0.000000
Ejercicio resuelto:@0.108233:0.096570:0.226211:0.096570:0.226211:0.079783:0.108233:0.079783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resuelve el sistema de ecuaciones lineales ( ,  ,  ) :@0.108233:0.113545:0.457647:0.113545:0.457647:0.097047:0.108233:0.097047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.412412:0.113661:0.447668:0.113661:0.447668:0.097192:0.412412:0.097192:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.457589:0.113328:0.473637:0.113328:0.473637:0.098681:0.457589:0.098681:0.000000
 :@0.473573:0.113026:0.477970:0.113026:0.477970:0.099653:0.473573:0.099653:0.000000
:@0.477918:0.112576:0.491828:0.112576:0.491828:0.099129:0.477918:0.099129:0.000000
3:@0.491769:0.107193:0.496722:0.107193:0.496722:0.097575:0.491769:0.097575:0.000000
 tal que:@0.496689:0.113545:0.549977:0.113545:0.549977:0.097047:0.496689:0.097047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     2 –    3 –   2  = 0,:@0.288682:0.138024:0.443960:0.138024:0.443960:0.121526:0.288682:0.121526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.317888:0.138140:0.329505:0.138140:0.329505:0.121671:0.317888:0.121671:0.000000:0.000000
y :@0.364298:0.138140:0.376127:0.138140:0.376127:0.121671:0.364298:0.121671:0.000000:0.000000
z:@0.406971:0.138140:0.413618:0.138140:0.413618:0.121671:0.406971:0.121671:0.000000
–       +       +        = 4.:@0.288682:0.162503:0.444808:0.162503:0.444808:0.146005:0.288682:0.146005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.319988:0.162619:0.331605:0.162619:0.331605:0.146150:0.319988:0.146150:0.000000:0.000000
y :@0.363798:0.162619:0.375626:0.162619:0.375626:0.146150:0.363798:0.146150:0.000000:0.000000
z:@0.407819:0.162619:0.414465:0.162619:0.414465:0.146150:0.407819:0.146150:0.000000
De la primera ecuación obtenemos z =     (2x – 3y).:@0.108225:0.197205:0.471429:0.197205:0.471429:0.180707:0.108225:0.180707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reemplazando en la segunda ecuación: :@0.108225:0.221684:0.391497:0.221684:0.391497:0.205186:0.108225:0.205186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–       +       +     (2x – 3y) = 4,   –       +       +       –       = 4,:@0.140744:0.256385:0.563251:0.256385:0.563251:0.239887:0.140744:0.239887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.171954:0.256501:0.179429:0.256501:0.179429:0.240032:0.171954:0.240032:0.000000
y:@0.215089:0.256501:0.222776:0.256501:0.222776:0.240032:0.215089:0.240032:0.000000
x:@0.395913:0.256501:0.403388:0.256501:0.403388:0.240032:0.395913:0.240032:0.000000
y:@0.439048:0.256501:0.446734:0.256501:0.446734:0.240032:0.439048:0.240032:0.000000
x:@0.482394:0.256501:0.489869:0.256501:0.489869:0.240032:0.482394:0.240032:0.000000
y:@0.525221:0.256501:0.532908:0.256501:0.532908:0.240032:0.525221:0.240032:0.000000
y de esta última ecuación se obtiene 0 = 4, lo que es un absurdo. Este :@0.108225:0.291087:0.599855:0.291087:0.599855:0.274589:0.108225:0.274589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema de ecuaciones no tiene solución. Luego,   = Ø.:@0.108225:0.308437:0.492871:0.308437:0.492871:0.291940:0.108225:0.291940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.450064:0.308553:0.457943:0.308553:0.457943:0.292084:0.450064:0.292084:0.000000
Ejercicio resuelto:@0.108225:0.343515:0.226203:0.343515:0.226203:0.326728:0.108225:0.326728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resuelve el sistema de ecuaciones lineales ( ,  ,  ) :@0.108225:0.360490:0.457639:0.360490:0.457639:0.343992:0.108225:0.343992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.412404:0.360605:0.447659:0.360605:0.447659:0.344136:0.412404:0.344136:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.457581:0.360273:0.473629:0.360273:0.473629:0.345626:0.457581:0.345626:0.000000
 :@0.473573:0.359970:0.477970:0.359970:0.477970:0.346597:0.473573:0.346597:0.000000
:@0.477918:0.359520:0.491828:0.359520:0.491828:0.346073:0.477918:0.346073:0.000000
3:@0.491769:0.354137:0.496722:0.354137:0.496722:0.344519:0.491769:0.344519:0.000000
 tal que::@0.496689:0.360489:0.552732:0.360489:0.552732:0.343991:0.496689:0.343991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 –5 +    3 –   2  = –5,:@0.288682:0.384968:0.448700:0.384968:0.448700:0.368470:0.288682:0.368470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.311820:0.385084:0.323437:0.385084:0.323437:0.368615:0.311820:0.368615:0.000000:0.000000
y :@0.358538:0.385084:0.370367:0.385084:0.370367:0.368615:0.358538:0.368615:0.000000:0.000000
z:@0.401211:0.385084:0.407857:0.385084:0.407857:0.368615:0.401211:0.368615:0.000000
       –         +        =      .:@0.288682:0.409447:0.453920:0.409447:0.453920:0.392949:0.288682:0.392949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.310067:0.409563:0.321684:0.409563:0.321684:0.393094:0.310067:0.393094:0.000000:0.000000
y :@0.360696:0.409563:0.372525:0.409563:0.372525:0.393094:0.360696:0.393094:0.000000:0.000000
z:@0.404717:0.409563:0.411363:0.409563:0.411363:0.393094:0.404717:0.393094:0.000000
De la primera ecuación se obtiene  z =      (–5x + 3y + 5). El reemplazo :@0.108225:0.451277:0.599905:0.451277:0.599905:0.434779:0.108225:0.434779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la segunda ecuación da lugar a: :@0.108225:0.468628:0.354180:0.468628:0.354180:0.452130:0.108225:0.452130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
      –          +            (–5x + 3y + 5)   =       ,:@0.204358:0.493107:0.499616:0.493107:0.499616:0.476609:0.204358:0.476609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.220926:0.493222:0.228401:0.493222:0.228401:0.476753:0.220926:0.476753:0.000000
y:@0.272133:0.493222:0.279820:0.493222:0.279820:0.476753:0.272133:0.476753:0.000000
         –          –       +        :@0.217478:0.524714:0.392807:0.524714:0.392807:0.508216:0.217478:0.508216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.246472:0.524829:0.253947:0.524829:0.253947:0.508361:0.246472:0.508361:0.000000
y:@0.297677:0.524829:0.305364:0.524829:0.305364:0.508361:0.297677:0.508361:0.000000
x:@0.340716:0.524829:0.348191:0.524829:0.348191:0.508361:0.340716:0.508361:0.000000
y +     :@0.392229:0.524829:0.435653:0.524829:0.435653:0.508361:0.392229:0.508361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  =       ,:@0.435653:0.524714:0.486494:0.524714:0.486494:0.508216:0.435653:0.508216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108225:0.542065:0.112367:0.542065:0.112367:0.525567:0.108225:0.525567:0.000000
y de esta última se obtiene       =       . Esto significa que la segunda:@0.108225:0.559415:0.575555:0.559415:0.575555:0.542918:0.108225:0.542918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación es un múltiplo escalar de la primera. Multiplicamos a la se-:@0.108225:0.583894:0.595784:0.583894:0.595784:0.567397:0.108225:0.567397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gunda ecuación por –10: :@0.108225:0.601245:0.289701:0.601245:0.289701:0.584747:0.108225:0.584747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–5  + 3  – 2  = –5,:@0.283731:0.618596:0.420245:0.618596:0.420245:0.602098:0.283731:0.602098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.302727:0.618712:0.310202:0.618712:0.310202:0.602243:0.302727:0.602243:0.000000
y:@0.337789:0.618712:0.345476:0.618712:0.345476:0.602243:0.337789:0.602243:0.000000
z:@0.372756:0.618712:0.379402:0.618712:0.379402:0.602243:0.372756:0.602243:0.000000
que es exactamente la primera ecuación. Luego, el par de ecuaciones :@0.108225:0.653297:0.599884:0.653297:0.599884:0.636800:0.108225:0.636800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dado se reduce a la sola ecuación –5  + 3  – 2  = –5. Así, :@0.108225:0.670648:0.518860:0.670648:0.518860:0.654150:0.108225:0.654150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.368090:0.670764:0.375565:0.670764:0.375565:0.654295:0.368090:0.654295:0.000000
y:@0.403153:0.670764:0.410839:0.670764:0.410839:0.654295:0.403153:0.654295:0.000000
z:@0.438119:0.670764:0.444766:0.670764:0.444766:0.654295:0.438119:0.654295:0.000000
S:@0.212893:0.691671:0.220772:0.691671:0.220772:0.675203:0.212893:0.675203:0.000000
 = {( ,  ,   :@0.220772:0.691556:0.296388:0.691556:0.296388:0.675058:0.220772:0.675058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z):@0.251674:0.691671:0.292304:0.691671:0.292304:0.675203:0.251674:0.675203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.296331:0.691339:0.312379:0.691339:0.312379:0.676692:0.296331:0.676692:0.000000
 :@0.312326:0.691043:0.316723:0.691043:0.316723:0.677670:0.312326:0.677670:0.000000
:@0.316670:0.690593:0.330579:0.690593:0.330579:0.677146:0.316670:0.677146:0.000000
3:@0.330521:0.685210:0.335474:0.685210:0.335474:0.675592:0.330521:0.675592:0.000000
 | –5  + 3  – 2  = –5}.:@0.335441:0.691561:0.491104:0.691561:0.491104:0.675064:0.335441:0.675064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.367729:0.691677:0.375204:0.691677:0.375204:0.675208:0.367729:0.675208:0.000000
y:@0.402792:0.691677:0.410479:0.691677:0.410479:0.675208:0.402792:0.675208:0.000000
z:@0.437759:0.691677:0.444405:0.691677:0.444405:0.675208:0.437759:0.675208:0.000000
De la definición del conjunto   tenemos la siguiente equivalencia: :@0.108226:0.726263:0.575441:0.726263:0.575441:0.709765:0.108226:0.709765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.319331:0.726379:0.327211:0.726379:0.327211:0.709910:0.319331:0.709910:0.000000
ˆx:@0.135294:0.750858:0.142730:0.750858:0.142730:0.734389:0.135294:0.734389:0.000000:0.000000
 = ( ,  ,   :@0.142692:0.750742:0.212451:0.750742:0.212451:0.734244:0.142692:0.734244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z):@0.167737:0.750858:0.208367:0.750858:0.208367:0.734389:0.167737:0.734389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.212394:0.750525:0.228442:0.750525:0.228442:0.735878:0.212394:0.735878:0.000000
 :@0.228385:0.750223:0.232782:0.750223:0.232782:0.736849:0.228385:0.736849:0.000000
S:@0.232728:0.750857:0.240608:0.750857:0.240608:0.734388:0.232728:0.734388:0.000000
   –5  + 3  – 2  = –5     = –       +       +     .:@0.240608:0.750741:0.568707:0.750741:0.568707:0.734244:0.240608:0.734244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.283682:0.750857:0.291157:0.750857:0.291157:0.734388:0.283682:0.734388:0.000000
y:@0.318745:0.750857:0.326431:0.750857:0.326431:0.734388:0.318745:0.734388:0.000000
z:@0.353711:0.750857:0.360357:0.750857:0.360357:0.734388:0.353711:0.734388:0.000000
z:@0.422522:0.750857:0.429169:0.750857:0.429169:0.734388:0.422522:0.734388:0.000000
x:@0.479470:0.750857:0.486945:0.750857:0.486945:0.734388:0.479470:0.734388:0.000000
y:@0.522605:0.750857:0.530292:0.750857:0.530292:0.734388:0.522605:0.734388:0.000000
Luego,                  = ( ,  ,   =   ,  , –       +       +       ,  ,   :@0.108229:0.785443:0.504226:0.785443:0.504226:0.768945:0.108229:0.768945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ˆx:@0.220468:0.785559:0.227905:0.785559:0.227905:0.769090:0.220468:0.769090:0.000000:0.000000
x y z):@0.252911:0.785559:0.293541:0.785559:0.293541:0.769090:0.252911:0.769090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.316660:0.785559:0.338661:0.785559:0.338661:0.769090:0.316660:0.769090:0.000000:0.000000:0.000000
x:@0.376709:0.785559:0.384184:0.785559:0.384184:0.769090:0.376709:0.769090:0.000000
y:@0.419787:0.785559:0.427473:0.785559:0.427473:0.769090:0.419787:0.769090:0.000000
x y:@0.478257:0.785559:0.500142:0.785559:0.500142:0.769090:0.478257:0.769090:0.000000:0.000000:0.000000
:@0.504168:0.785226:0.520216:0.785226:0.520216:0.770579:0.504168:0.770579:0.000000
 :@0.520153:0.784924:0.524550:0.784924:0.524550:0.771551:0.520153:0.771551:0.000000
:@0.524498:0.784474:0.538408:0.784474:0.538408:0.771027:0.524498:0.771027:0.000000
,:@0.538350:0.785443:0.541105:0.785443:0.541105:0.768945:0.538350:0.768945:0.000000
con lo que el conjunto solución   se escribe como: :@0.108234:0.820144:0.471476:0.820144:0.471476:0.803647:0.108234:0.803647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.338009:0.820260:0.345888:0.820260:0.345888:0.803791:0.338009:0.803791:0.000000
S:@0.108234:0.851867:0.116113:0.851867:0.116113:0.835399:0.108234:0.835399:0.000000
 =      ,  , –       +       +        |  ,   :@0.116113:0.851752:0.345736:0.851752:0.345736:0.835254:0.116113:0.835254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.151773:0.851867:0.173774:0.851867:0.173774:0.835399:0.151773:0.835399:0.000000:0.000000:0.000000
x:@0.211823:0.851867:0.219298:0.851867:0.219298:0.835399:0.211823:0.835399:0.000000
y:@0.254900:0.851867:0.262587:0.851867:0.262587:0.835399:0.254900:0.835399:0.000000
x y:@0.319766:0.851867:0.341652:0.851867:0.341652:0.835399:0.319766:0.835399:0.000000:0.000000:0.000000
:@0.345678:0.851535:0.361726:0.851535:0.361726:0.836888:0.345678:0.836888:0.000000
 :@0.361662:0.851233:0.366059:0.851233:0.366059:0.837860:0.361662:0.837860:0.000000
:@0.366007:0.850783:0.379917:0.850783:0.379917:0.837336:0.366007:0.837336:0.000000
    o también: :@0.379859:0.851752:0.476262:0.851752:0.476262:0.835254:0.379859:0.835254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   =   = 1, una solución es   =   1, 1,        . Si   = –1, y = 2, otra solución:@0.108238:0.910932:0.595705:0.910932:0.595705:0.894434:0.108238:0.894434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.123631:0.911048:0.156767:0.911048:0.156767:0.894579:0.123631:0.894579:0.000000:0.000000:0.000000
ˆx:@0.302102:0.911048:0.309539:0.911048:0.309539:0.894579:0.302102:0.894579:0.000000:0.000000
x:@0.411146:0.911048:0.418621:0.911048:0.418621:0.894579:0.411146:0.894579:0.000000
es   = (–1, 2, 8).:@0.108238:0.935411:0.217684:0.935411:0.217684:0.918914:0.108238:0.918914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ˆx:@0.126752:0.935527:0.134188:0.935527:0.134188:0.919058:0.126752:0.919058:0.000000:0.000000
1:@0.306134:0.154953:0.314630:0.154953:0.314630:0.138455:0.306134:0.138455:0.000000
3:@0.306134:0.171292:0.314630:0.171292:0.314630:0.154794:0.306134:0.154794:0.000000
1:@0.296083:0.402097:0.304579:0.402097:0.304579:0.385599:0.296083:0.385599:0.000000
2:@0.296083:0.418435:0.304579:0.418435:0.304579:0.401938:0.296083:0.401938:0.000000
1:@0.385400:0.443732:0.393896:0.443732:0.393896:0.427235:0.385400:0.427235:0.000000
2:@0.385400:0.460071:0.393896:0.460071:0.393896:0.443573:0.385400:0.443573:0.000000
1:@0.392826:0.154953:0.401322:0.154953:0.401322:0.138455:0.392826:0.138455:0.000000
3:@0.392826:0.171292:0.401322:0.171292:0.401322:0.154794:0.392826:0.154794:0.000000
1:@0.390426:0.402097:0.398921:0.402097:0.398921:0.385599:0.390426:0.385599:0.000000
5:@0.390426:0.418435:0.398921:0.418435:0.398921:0.401938:0.390426:0.401938:0.000000
1:@0.349005:0.154953:0.357501:0.154953:0.357501:0.138455:0.349005:0.138455:0.000000
2:@0.349005:0.171292:0.357501:0.171292:0.357501:0.154794:0.349005:0.154794:0.000000
3:@0.343003:0.402097:0.351499:0.402097:0.351499:0.385599:0.343003:0.385599:0.000000
10:@0.338668:0.418435:0.355853:0.418435:0.355853:0.401938:0.338668:0.401938:0.000000:0.000000
5:@0.436173:0.402097:0.444669:0.402097:0.444669:0.385599:0.436173:0.385599:0.000000
10:@0.431838:0.418435:0.449023:0.418435:0.449023:0.401938:0.431838:0.401938:0.000000:0.000000
1:@0.391781:0.189939:0.400277:0.189939:0.400277:0.173441:0.391781:0.173441:0.000000
2:@0.391781:0.206277:0.400277:0.206277:0.400277:0.189780:0.391781:0.189780:0.000000
1:@0.156470:0.248902:0.164966:0.248902:0.164966:0.232405:0.156470:0.232405:0.000000
3:@0.156470:0.265241:0.164966:0.265241:0.164966:0.248743:0.156470:0.248743:0.000000
1:@0.200976:0.248902:0.209472:0.248902:0.209472:0.232405:0.200976:0.232405:0.000000
2:@0.200976:0.265241:0.209472:0.265241:0.209472:0.248743:0.200976:0.248743:0.000000
1:@0.245258:0.248902:0.253754:0.248902:0.253754:0.232405:0.245258:0.232405:0.000000
6:@0.245258:0.265241:0.253754:0.265241:0.253754:0.248743:0.245258:0.248743:0.000000
1:@0.381783:0.248902:0.390279:0.248902:0.390279:0.232405:0.381783:0.232405:0.000000
3:@0.381783:0.265241:0.390279:0.265241:0.390279:0.248743:0.381783:0.248743:0.000000
1:@0.467497:0.248902:0.475993:0.248902:0.475993:0.232405:0.467497:0.232405:0.000000
3:@0.467497:0.265241:0.475993:0.265241:0.475993:0.248743:0.467497:0.248743:0.000000
1:@0.423801:0.248902:0.432297:0.248902:0.432297:0.232405:0.423801:0.232405:0.000000
2:@0.423801:0.265241:0.432297:0.265241:0.432297:0.248743:0.423801:0.248743:0.000000
1:@0.509517:0.248902:0.518013:0.248902:0.518013:0.232405:0.509517:0.232405:0.000000
2:@0.509517:0.265241:0.518013:0.265241:0.518013:0.248743:0.509517:0.248743:0.000000
1:@0.204921:0.485729:0.213417:0.485729:0.213417:0.469231:0.204921:0.469231:0.000000
2:@0.204921:0.502067:0.213417:0.502067:0.213417:0.485570:0.204921:0.485570:0.000000
1:@0.231725:0.517340:0.240221:0.517340:0.240221:0.500842:0.231725:0.500842:0.000000
2:@0.231725:0.533678:0.240221:0.533678:0.240221:0.517181:0.231725:0.517181:0.000000
1:@0.327291:0.517340:0.335787:0.517340:0.335787:0.500842:0.327291:0.500842:0.000000
2:@0.327291:0.533678:0.335787:0.533678:0.335787:0.517181:0.327291:0.517181:0.000000
3:@0.278721:0.517340:0.287216:0.517340:0.287216:0.500842:0.278721:0.500842:0.000000
10:@0.274386:0.533678:0.291570:0.533678:0.291570:0.517181:0.274386:0.517181:0.000000:0.000000
3:@0.374209:0.517340:0.382705:0.517340:0.382705:0.500842:0.374209:0.500842:0.000000
10:@0.369874:0.533678:0.387059:0.533678:0.387059:0.517181:0.369874:0.517181:0.000000:0.000000
5:@0.424466:0.517340:0.432962:0.517340:0.432962:0.500842:0.424466:0.500842:0.000000
10:@0.420132:0.533678:0.437316:0.533678:0.437316:0.517181:0.420132:0.517181:0.000000:0.000000
5:@0.308863:0.552011:0.317359:0.552011:0.317359:0.535513:0.308863:0.535513:0.000000
10:@0.304528:0.568350:0.321713:0.568350:0.321713:0.551852:0.304528:0.551852:0.000000:0.000000
5:@0.465532:0.743448:0.474028:0.743448:0.474028:0.726950:0.465532:0.726950:0.000000
2:@0.465532:0.759786:0.474028:0.759786:0.474028:0.743289:0.465532:0.743289:0.000000
5:@0.550295:0.743448:0.558791:0.743448:0.558791:0.726950:0.550295:0.726950:0.000000
2:@0.550295:0.759786:0.558791:0.759786:0.558791:0.743289:0.550295:0.743289:0.000000
3:@0.508270:0.743448:0.516766:0.743448:0.516766:0.726950:0.508270:0.726950:0.000000
2:@0.508270:0.759786:0.516766:0.759786:0.516766:0.743289:0.508270:0.743289:0.000000
3:@0.369199:0.904511:0.377695:0.904511:0.377695:0.888013:0.369199:0.888013:0.000000
2:@0.369199:0.920849:0.377695:0.920849:0.377695:0.904351:0.369199:0.904351:0.000000
5:@0.466347:0.517340:0.474843:0.517340:0.474843:0.500842:0.466347:0.500842:0.000000
10:@0.462013:0.533678:0.479197:0.533678:0.479197:0.517181:0.462013:0.517181:0.000000:0.000000
5:@0.349069:0.552011:0.357565:0.552011:0.357565:0.535513:0.349069:0.535513:0.000000
10:@0.344734:0.568350:0.361919:0.568350:0.361919:0.551852:0.344734:0.551852:0.000000:0.000000
1 1:@0.303993:0.485729:0.338715:0.485729:0.338715:0.469231:0.303993:0.469231:0.000000:0.000000:0.000000
5 2:@0.303993:0.502067:0.338715:0.502067:0.338715:0.485570:0.303993:0.485570:0.000000:0.000000:0.000000
3:@0.253620:0.485729:0.262116:0.485729:0.262116:0.469231:0.253620:0.469231:0.000000
10:@0.249286:0.502067:0.266470:0.502067:0.266470:0.485570:0.249286:0.485570:0.000000:0.000000
5:@0.479962:0.485729:0.488458:0.485729:0.488458:0.469231:0.479962:0.469231:0.000000
10:@0.475627:0.502067:0.492812:0.502067:0.492812:0.485570:0.475627:0.485570:0.000000:0.000000
5:@0.361204:0.778029:0.369700:0.778029:0.369700:0.761531:0.361204:0.761531:0.000000
2:@0.361204:0.794367:0.369700:0.794367:0.369700:0.777869:0.361204:0.777869:0.000000
3:@0.404761:0.778029:0.413257:0.778029:0.413257:0.761531:0.404761:0.761531:0.000000
2:@0.404761:0.794367:0.413257:0.794367:0.413257:0.777869:0.404761:0.777869:0.000000
5:@0.448067:0.778029:0.456563:0.778029:0.456563:0.761531:0.448067:0.761531:0.000000
2:@0.448067:0.794367:0.456563:0.794367:0.456563:0.777869:0.448067:0.777869:0.000000
5:@0.197289:0.844243:0.205785:0.844243:0.205785:0.827745:0.197289:0.827745:0.000000
2:@0.197289:0.860582:0.205785:0.860582:0.205785:0.844084:0.197289:0.844084:0.000000
3:@0.240845:0.844243:0.249341:0.844243:0.249341:0.827745:0.240845:0.827745:0.000000
2:@0.240845:0.860582:0.249341:0.860582:0.249341:0.844084:0.240845:0.844084:0.000000
5:@0.284864:0.844243:0.293360:0.844243:0.293360:0.827745:0.284864:0.827745:0.000000
2:@0.284864:0.860582:0.293360:0.860582:0.293360:0.844084:0.284864:0.844084:0.000000
x:@0.489819:0.830833:0.496969:0.830833:0.496969:0.815081:0.489819:0.815081:0.000000
∈:@0.500820:0.831331:0.513959:0.831331:0.513959:0.815758:0.500820:0.815758:0.000000
!:@0.517203:0.831525:0.530507:0.831525:0.530507:0.814776:0.517203:0.814776:0.000000
y:@0.490188:0.851579:0.497540:0.851579:0.497540:0.835826:0.490188:0.835826:0.000000
∈:@0.501189:0.852077:0.514328:0.852077:0.514328:0.836504:0.501189:0.836504:0.000000
!:@0.517571:0.852270:0.530876:0.852270:0.530876:0.835522:0.517571:0.835522:0.000000
z:@0.489819:0.881051:0.496177:0.881051:0.496177:0.865298:0.489819:0.865298:0.000000
=:@0.499291:0.881549:0.509408:0.881549:0.509408:0.865976:0.499291:0.865976:0.000000
–5:@0.513314:0.872490:0.531392:0.872490:0.531392:0.856710:0.513314:0.856710:0.000000:0.000000
2:@0.518089:0.891820:0.526215:0.891820:0.526215:0.876040:0.518089:0.876040:0.000000
x:@0.534788:0.881046:0.541938:0.881046:0.541938:0.865293:0.534788:0.865293:0.000000
+:@0.544259:0.881544:0.554376:0.881544:0.554376:0.865971:0.544259:0.865971:0.000000
3:@0.557767:0.872485:0.565893:0.872485:0.565893:0.856705:0.557767:0.856705:0.000000
2:@0.557561:0.891820:0.565687:0.891820:0.565687:0.876040:0.557561:0.876040:0.000000
y:@0.569812:0.881046:0.577164:0.881046:0.577164:0.865293:0.569812:0.865293:0.000000
+:@0.579284:0.881544:0.589400:0.881544:0.589400:0.865971:0.579284:0.865971:0.000000
5:@0.592588:0.872485:0.600715:0.872485:0.600715:0.856705:0.592588:0.856705:0.000000
2:@0.592583:0.891820:0.600710:0.891820:0.600710:0.876040:0.592583:0.876040:0.000000
⎧:@0.479558:0.814397:0.488662:0.814397:0.488662:0.798824:0.479558:0.798824:0.000000
⎨:@0.479558:0.852347:0.488662:0.852347:0.488662:0.836774:0.479558:0.836774:0.000000
⎪:@0.479558:0.827867:0.488662:0.827867:0.488662:0.812294:0.479558:0.812294:0.000000
⎪:@0.479558:0.841338:0.488662:0.841338:0.488662:0.825765:0.479558:0.825765:0.000000
⎩:@0.479558:0.890643:0.488662:0.890643:0.488662:0.875070:0.479558:0.875070:0.000000
⎪:@0.479558:0.865818:0.488662:0.865818:0.488662:0.850245:0.479558:0.850245:0.000000
⎪:@0.479558:0.879288:0.488662:0.879288:0.488662:0.863715:0.479558:0.863715:0.000000
En el ejercicio resuelto de :@0.685576:0.136362:0.850021:0.136362:0.850021:0.121299:0.685576:0.121299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la página anterior, es importante :@0.638505:0.152204:0.848620:0.152204:0.848620:0.137141:0.638505:0.137141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recalcar que las variables  ,   se :@0.638505:0.168046:0.837976:0.168046:0.837976:0.152983:0.638505:0.152983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y z:@0.798258:0.168152:0.817378:0.168152:0.817378:0.153115:0.798258:0.153115:0.000000:0.000000:0.000000
han puesto en función de   y; :@0.638505:0.183888:0.831169:0.183888:0.831169:0.168825:0.638505:0.168825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.807123:0.183994:0.813948:0.183994:0.813948:0.168957:0.807123:0.168957:0.000000
nuestro vector solución   queda :@0.638505:0.199730:0.849478:0.199730:0.849478:0.184667:0.638505:0.184667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.794265:0.199836:0.801090:0.199836:0.801090:0.184799:0.794265:0.184799:0.000000
:@0.795725:0.200179:0.801582:0.200179:0.801582:0.185737:0.795725:0.185737:0.000000
representado en términos de :@0.638505:0.215572:0.827791:0.215572:0.827791:0.200509:0.638505:0.200509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.638505:0.231520:0.645330:0.231520:0.645330:0.216483:0.638505:0.216483:0.000000
 :@0.645242:0.231414:0.649024:0.231414:0.649024:0.216351:0.645242:0.216351:0.000000
:@0.648933:0.231066:0.662888:0.231066:0.662888:0.218329:0.648933:0.218329:0.000000
 :@0.662804:0.231216:0.667202:0.231216:0.667202:0.217843:0.662804:0.217843:0.000000
:@0.667114:0.230530:0.679814:0.230530:0.679814:0.218252:0.667114:0.218252:0.000000
. Esta es una alternativa :@0.679726:0.231414:0.830773:0.231414:0.830773:0.216351:0.679726:0.216351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de solución.:@0.638495:0.247256:0.715187:0.247256:0.715187:0.232193:0.638495:0.232193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Otra alternativa es expresar las :@0.638495:0.270227:0.839178:0.270227:0.839178:0.255164:0.638495:0.255164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnitas  ,  en términos de  .:@0.638495:0.286069:0.843434:0.286069:0.843434:0.271006:0.638495:0.271006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y :@0.709013:0.286175:0.732936:0.286175:0.732936:0.271138:0.709013:0.271138:0.000000:0.000000:0.000000:0.000000
z:@0.834851:0.286175:0.840919:0.286175:0.840919:0.271138:0.834851:0.271138:0.000000
Una tercera alternativa es :@0.638495:0.309040:0.805864:0.309040:0.805864:0.293977:0.638495:0.293977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresar  ,   en términos de  . :@0.638495:0.324882:0.834657:0.324882:0.834657:0.309819:0.638495:0.309819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x z:@0.696454:0.324988:0.715645:0.324988:0.715645:0.309951:0.696454:0.309951:0.000000:0.000000:0.000000
y:@0.821342:0.324988:0.828360:0.324988:0.828360:0.309951:0.821342:0.309951:0.000000
Los conjuntos resultantes son :@0.638495:0.340724:0.834395:0.340724:0.834395:0.325661:0.638495:0.325661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iguales.:@0.638495:0.356566:0.684667:0.356566:0.684667:0.341503:0.638495:0.341503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.685338:0.100355:0.782961:0.100355:0.782961:0.084882:0.685338:0.084882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.685338:0.112923:0.769401:0.112923:0.769401:0.097450:0.685338:0.097450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interculturalidad:@0.684804:0.436854:0.805118:0.436854:0.805118:0.421381:0.684804:0.421381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Algo que caracteriza a la :@0.678232:0.464785:0.839442:0.464785:0.839442:0.449721:0.678232:0.449721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cultura inca es el gran respeto :@0.638496:0.480627:0.834621:0.480627:0.834621:0.465563:0.638496:0.465563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a la naturaleza, ya sea en sus :@0.638496:0.496469:0.823539:0.496469:0.823539:0.481405:0.638496:0.481405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
construcciones, agricultura o en :@0.638496:0.512311:0.847903:0.512311:0.847903:0.497247:0.638496:0.497247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el uso de recursos naturales. Sus :@0.638496:0.528153:0.848656:0.528153:0.848656:0.513089:0.638496:0.513089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
construcciones evidencian un :@0.638496:0.543995:0.834851:0.543995:0.834851:0.528931:0.638496:0.528931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocimiento y aplicación de :@0.638496:0.559837:0.834255:0.559837:0.834255:0.544773:0.638496:0.544773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la geometría, esto lo podemos :@0.638496:0.575679:0.838352:0.575679:0.838352:0.560615:0.638496:0.560615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ver en sus ciudades, caminos y :@0.638496:0.591521:0.839460:0.591521:0.839460:0.576457:0.638496:0.576457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
templos que perduran hasta la :@0.638496:0.607363:0.840515:0.607363:0.840515:0.592299:0.638496:0.592299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
actualidad.:@0.638496:0.623204:0.708590:0.623204:0.708590:0.608141:0.638496:0.608141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga elabora:@0.638503:0.876448:0.753627:0.876448:0.753627:0.860975:0.638503:0.860975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.686135:0.876025:0.700841:0.876025:0.700841:0.860962:0.686135:0.860962:0.000000:0.000000:0.000000
 un corto :@0.753630:0.876025:0.817851:0.876025:0.817851:0.860962:0.753630:0.860962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ensayo acerca de la matemática :@0.638503:0.891867:0.847119:0.891867:0.847119:0.876804:0.638503:0.876804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la cultura inca y :@0.638503:0.907709:0.763795:0.907709:0.763795:0.892646:0.638503:0.892646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
preséntalo:@0.763795:0.908132:0.838479:0.908132:0.838479:0.892659:0.763795:0.892659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.838484:0.907709:0.842266:0.907709:0.842266:0.892646:0.838484:0.892646:0.000000
a la clase.:@0.638503:0.923551:0.697710:0.923551:0.697710:0.908488:0.638503:0.908488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pixabay.com:@0.871305:0.849347:0.871305:0.814978:0.859836:0.814978:0.859836:0.849347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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