13:@0.922460:0.966765:0.939432:0.966765:0.939432:0.950778:0.922460:0.950778:0.000000:0.000000
En el método sustitutivo, de la primera ecuación obtenemos::@0.108233:0.105105:0.539289:0.105105:0.539289:0.088607:0.108233:0.088607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.292756:0.129699:0.300231:0.129699:0.300231:0.113231:0.292756:0.113231:0.000000
 =     (5 –   +  ).:@0.300231:0.129584:0.411256:0.129584:0.411256:0.113086:0.300231:0.113086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y z:@0.369123:0.129699:0.402548:0.129699:0.402548:0.113231:0.369123:0.113231:0.000000:0.000000:0.000000
Reemplazamos   en la segunda y tercera ecuaciones del último siste-:@0.108233:0.164285:0.595715:0.164285:0.595715:0.147788:0.108233:0.147788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.220838:0.164401:0.228313:0.164401:0.228313:0.147932:0.220838:0.147932:0.000000
ma, lo que da lugar al siguiente par de ecuaciones::@0.108233:0.181636:0.462325:0.181636:0.462325:0.165138:0.108233:0.165138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    (5 –   +  ) + 2  + 2  = 3,:@0.257481:0.209672:0.446512:0.209672:0.446512:0.193174:0.257481:0.193174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y z:@0.307282:0.209788:0.340707:0.209788:0.340707:0.193319:0.307282:0.193319:0.000000:0.000000:0.000000
y:@0.374248:0.209788:0.381935:0.209788:0.381935:0.193319:0.374248:0.193319:0.000000
z:@0.409522:0.209788:0.416169:0.209788:0.416169:0.193319:0.409522:0.193319:0.000000
   –     (5 –   +  ) +   +   = 0,:@0.240566:0.241279:0.439673:0.241279:0.439673:0.224782:0.240566:0.224782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y z:@0.317434:0.241395:0.350860:0.241395:0.350860:0.224926:0.317434:0.224926:0.000000:0.000000:0.000000
y z:@0.375905:0.241395:0.409330:0.241395:0.409330:0.224926:0.375905:0.224926:0.000000:0.000000:0.000000
de las que, luego de realizar algunas simplificaciones, se obtiene: :@0.108214:0.275981:0.563024:0.275981:0.563024:0.259483:0.108214:0.259483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.317434:0.304132:0.325121:0.304132:0.325121:0.287664:0.317434:0.287664:0.000000
 +        = :@0.325121:0.304017:0.390662:0.304017:0.390662:0.287519:0.325121:0.287519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.364923:0.304132:0.371570:0.304132:0.371570:0.287664:0.364923:0.287664:0.000000
y:@0.317569:0.335740:0.325256:0.335740:0.325256:0.319271:0.317569:0.319271:0.000000
 +        =     .:@0.325256:0.335624:0.410120:0.335624:0.410120:0.319126:0.325256:0.319126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.365058:0.335740:0.371705:0.335740:0.371705:0.319271:0.365058:0.319271:0.000000
De la primera ecuación del sistema precedente obtenemos  ::@0.108214:0.370325:0.539788:0.370325:0.539788:0.353828:0.108214:0.353828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.529346:0.370441:0.537033:0.370441:0.537033:0.353972:0.529346:0.353972:0.000000
y:@0.250218:0.394920:0.257905:0.394920:0.257905:0.378451:0.250218:0.378451:0.000000
 =             –    =      –    :@0.257905:0.394804:0.443853:0.394804:0.443853:0.378307:0.257905:0.378307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    z  :@0.337201:0.394920:0.372841:0.394920:0.372841:0.378451:0.337201:0.378451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    z.:@0.427285:0.394920:0.453755:0.394920:0.453755:0.378451:0.427285:0.378451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reemplazamos   en la segunda ecuación: :@0.108214:0.429506:0.405049:0.429506:0.405049:0.413008:0.108214:0.413008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.220663:0.429622:0.228350:0.429622:0.228350:0.413153:0.220663:0.413153:0.000000
            –     +        =    :@0.259504:0.453985:0.441599:0.453985:0.441599:0.437487:0.259504:0.437487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    z  :@0.319708:0.454101:0.359491:0.454101:0.359491:0.437632:0.319708:0.437632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.395151:0.454101:0.401797:0.454101:0.401797:0.437632:0.395151:0.437632:0.000000
    ,:@0.425031:0.454101:0.444450:0.454101:0.444450:0.437632:0.425031:0.437632:0.000000:0.000000:0.000000:0.000000:0.000000
           –     +        =    :@0.263646:0.487371:0.437457:0.487371:0.437457:0.470873:0.263646:0.470873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    z :@0.319708:0.487486:0.355348:0.487486:0.355348:0.471018:0.319708:0.471018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.391008:0.487486:0.397655:0.487486:0.397655:0.471018:0.391008:0.471018:0.000000
    ,:@0.420889:0.487486:0.440308:0.487486:0.440308:0.471018:0.420889:0.471018:0.000000:0.000000:0.000000:0.000000:0.000000
donde   = –1.:@0.108214:0.515277:0.206736:0.515277:0.206736:0.498779:0.108214:0.498779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.159247:0.515392:0.165894:0.515392:0.165894:0.498923:0.159247:0.498923:0.000000
Calculamos   e  . Como   =      –      , y,   = –1, se sigue que: :@0.108214:0.548474:0.532955:0.548474:0.532955:0.531977:0.108214:0.531977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.194965:0.548590:0.226483:0.548590:0.226483:0.532121:0.194965:0.532121:0.000000:0.000000:0.000000
y:@0.282526:0.548590:0.290213:0.548590:0.290213:0.532121:0.282526:0.532121:0.000000
z:@0.361224:0.548590:0.367871:0.548590:0.367871:0.532121:0.361224:0.532121:0.000000
z:@0.388716:0.548590:0.395362:0.548590:0.395362:0.532121:0.388716:0.532121:0.000000
y:@0.282006:0.580197:0.289693:0.580197:0.289693:0.563729:0.282006:0.563729:0.000000
 =      –     (–1) = 2.:@0.289693:0.580082:0.421948:0.580082:0.421948:0.563584:0.289693:0.563584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como   =      (5 –   +  ) con   = 2,   = –1, se obtiene: :@0.108214:0.614783:0.484557:0.614783:0.484557:0.598285:0.108214:0.598285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.157359:0.614899:0.164834:0.614899:0.164834:0.598430:0.157359:0.598430:0.000000
y z:@0.235942:0.614899:0.269368:0.614899:0.269368:0.598430:0.235942:0.598430:0.000000:0.000000:0.000000
y:@0.310555:0.614899:0.318242:0.614899:0.318242:0.598430:0.310555:0.598430:0.000000
z:@0.352726:0.614899:0.359373:0.614899:0.359373:0.598430:0.352726:0.598430:0.000000
x:@0.275687:0.646506:0.283162:0.646506:0.283162:0.630037:0.275687:0.630037:0.000000
 =      (5 – 2 – 1) = 1.:@0.283162:0.646390:0.428267:0.646390:0.428267:0.629893:0.283162:0.629893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La solución del sistema de ecuaciones propuesto es (1, 2, –1). :@0.108214:0.681092:0.545281:0.681092:0.545281:0.664594:0.108214:0.664594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribimos   = {(1, 2, –1)} para referirnos al conjunto solución del :@0.108214:0.714290:0.599938:0.714290:0.599938:0.697792:0.108214:0.697792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.191382:0.714405:0.199261:0.714405:0.199261:0.697937:0.191382:0.697937:0.000000
sistema de ecuaciones propuesto.:@0.108214:0.731640:0.346024:0.731640:0.346024:0.715143:0.108214:0.715143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La solución también la podemos expresar como::@0.108214:0.764838:0.453480:0.764838:0.453480:0.748341:0.108214:0.748341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.287554:0.782305:0.295029:0.782305:0.295029:0.765836:0.287554:0.765836:0.000000
 = 1,   = 2,   = –1 :@0.295029:0.782189:0.420561:0.782189:0.420561:0.765691:0.295029:0.765691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.329514:0.782305:0.337201:0.782305:0.337201:0.765836:0.329514:0.765836:0.000000
z:@0.371685:0.782305:0.378332:0.782305:0.378332:0.765836:0.371685:0.765836:0.000000
Ejercicio resuelto:@0.108214:0.815763:0.226192:0.815763:0.226192:0.798976:0.108214:0.798976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Veamos otra forma de encontrar la solución. Resolvemos el mismo :@0.108214:0.832737:0.599934:0.832737:0.599934:0.816240:0.108214:0.816240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema de ecuaciones lineales propuesto, pero esta vez selecciona-:@0.108214:0.850088:0.595698:0.850088:0.595698:0.833591:0.108214:0.833591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mos la incógnita  , a la que obtenemos de la tercera ecuación.:@0.108214:0.867439:0.546148:0.867439:0.546148:0.850941:0.108214:0.850941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.229718:0.867555:0.237405:0.867555:0.237405:0.851086:0.229718:0.851086:0.000000
2 +   –   = 5:@0.288671:0.889315:0.384439:0.889315:0.384439:0.872818:0.288671:0.872818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y z:@0.297167:0.889431:0.356851:0.889431:0.356851:0.872962:0.297167:0.872962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   + 2  + 2  = 3:@0.288671:0.906666:0.403454:0.906666:0.403454:0.890168:0.288671:0.890168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.298882:0.906782:0.310499:0.906782:0.310499:0.890313:0.298882:0.890313:0.000000:0.000000
y:@0.333945:0.906782:0.341632:0.906782:0.341632:0.890313:0.333945:0.890313:0.000000
z:@0.369219:0.906782:0.375866:0.906782:0.375866:0.890313:0.369219:0.890313:0.000000
– +   +   = 0.:@0.288671:0.924017:0.389506:0.924017:0.389506:0.907519:0.288671:0.907519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y z:@0.299171:0.924133:0.359163:0.924133:0.359163:0.907664:0.299171:0.907664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.322332:0.120250:0.330828:0.120250:0.330828:0.103752:0.322332:0.103752:0.000000
2:@0.322332:0.136589:0.330828:0.136589:0.330828:0.120091:0.322332:0.120091:0.000000
1:@0.258990:0.201333:0.267486:0.201333:0.267486:0.184836:0.258990:0.184836:0.000000
2:@0.258990:0.217672:0.267486:0.217672:0.267486:0.201174:0.258990:0.201174:0.000000
1:@0.270162:0.233031:0.278658:0.233031:0.278658:0.216534:0.270162:0.216534:0.000000
2:@0.270162:0.249370:0.278658:0.249370:0.278658:0.232872:0.270162:0.232872:0.000000
3:@0.299854:0.295769:0.308350:0.295769:0.308350:0.279272:0.299854:0.279272:0.000000
2:@0.299854:0.312108:0.308350:0.312108:0.308350:0.295610:0.299854:0.295610:0.000000
3:@0.299854:0.327350:0.308350:0.327350:0.308350:0.310853:0.299854:0.310853:0.000000
2:@0.299854:0.343689:0.308350:0.343689:0.308350:0.327191:0.299854:0.327191:0.000000
5:@0.350322:0.295769:0.358818:0.295769:0.358818:0.279272:0.350322:0.279272:0.000000
2:@0.350322:0.312108:0.358818:0.312108:0.358818:0.295610:0.350322:0.295610:0.000000
1:@0.350322:0.327350:0.358818:0.327350:0.358818:0.310853:0.350322:0.310853:0.000000
2:@0.350322:0.343689:0.358818:0.343689:0.358818:0.327191:0.350322:0.327191:0.000000
1:@0.395764:0.295769:0.404260:0.295769:0.404260:0.279272:0.395764:0.279272:0.000000
2:@0.395764:0.312108:0.404260:0.312108:0.404260:0.295610:0.395764:0.295610:0.000000
5:@0.395764:0.327350:0.404260:0.327350:0.404260:0.310853:0.395764:0.310853:0.000000
2:@0.395764:0.343689:0.404260:0.343689:0.404260:0.327191:0.395764:0.327191:0.000000
2:@0.283101:0.386117:0.291597:0.386117:0.291597:0.369619:0.283101:0.369619:0.000000
3:@0.283101:0.402455:0.291597:0.402455:0.291597:0.385957:0.283101:0.385957:0.000000
3 1:@0.266349:0.445388:0.301015:0.445388:0.301015:0.428891:0.266349:0.428891:0.000000:0.000000:0.000000
2 3:@0.266349:0.461727:0.301015:0.461727:0.301015:0.445229:0.266349:0.445229:0.000000:0.000000:0.000000
1:@0.310947:0.386117:0.319443:0.386117:0.319443:0.369619:0.310947:0.369619:0.000000
2:@0.310947:0.402455:0.319443:0.402455:0.319443:0.385957:0.310947:0.385957:0.000000
1:@0.392414:0.386117:0.400910:0.386117:0.400910:0.369619:0.392414:0.369619:0.000000
3:@0.392414:0.402455:0.400910:0.402455:0.400910:0.385957:0.392414:0.385957:0.000000
1:@0.380687:0.445388:0.389183:0.445388:0.389183:0.428891:0.380687:0.428891:0.000000
2:@0.380687:0.461727:0.389183:0.461727:0.389183:0.445229:0.380687:0.445229:0.000000
5:@0.342726:0.386117:0.351222:0.386117:0.351222:0.369619:0.342726:0.369619:0.000000
2:@0.342726:0.402455:0.351222:0.402455:0.351222:0.385957:0.342726:0.385957:0.000000
5:@0.327649:0.445388:0.336145:0.445388:0.336145:0.428891:0.327649:0.428891:0.000000
3:@0.327649:0.461727:0.336145:0.461727:0.336145:0.445229:0.327649:0.445229:0.000000
5:@0.429219:0.386117:0.437715:0.386117:0.437715:0.369619:0.429219:0.369619:0.000000
3:@0.429219:0.402455:0.437715:0.402455:0.437715:0.385957:0.429219:0.385957:0.000000
5:@0.425869:0.445388:0.434365:0.445388:0.434365:0.428891:0.425869:0.428891:0.000000
2:@0.425869:0.461727:0.434365:0.461727:0.434365:0.445229:0.425869:0.445229:0.000000
1:@0.294195:0.478754:0.302691:0.478754:0.302691:0.462257:0.294195:0.462257:0.000000
2:@0.294195:0.495093:0.302691:0.495093:0.302691:0.478595:0.294195:0.478595:0.000000
5:@0.328676:0.478754:0.337172:0.478754:0.337172:0.462257:0.328676:0.462257:0.000000
2:@0.328676:0.495093:0.337172:0.495093:0.337172:0.478595:0.328676:0.478595:0.000000
1:@0.315078:0.539337:0.323574:0.539337:0.323574:0.522840:0.315078:0.522840:0.000000
3:@0.315078:0.555676:0.323574:0.555676:0.323574:0.539178:0.315078:0.539178:0.000000
1:@0.314829:0.570937:0.323325:0.570937:0.323325:0.554440:0.314829:0.554440:0.000000
3:@0.314829:0.587276:0.323325:0.587276:0.323325:0.570778:0.314829:0.570778:0.000000
1:@0.308128:0.637352:0.316624:0.637352:0.316624:0.620854:0.308128:0.620854:0.000000
2:@0.308128:0.653690:0.316624:0.653690:0.316624:0.637193:0.308128:0.637193:0.000000
3:@0.346908:0.539337:0.355404:0.539337:0.355404:0.522840:0.346908:0.522840:0.000000
5:@0.346908:0.555676:0.355404:0.555676:0.355404:0.539178:0.346908:0.539178:0.000000
5:@0.346658:0.570937:0.355154:0.570937:0.355154:0.554440:0.346658:0.554440:0.000000
3:@0.346658:0.587276:0.355154:0.587276:0.355154:0.570778:0.346658:0.570778:0.000000
1:@0.374884:0.478754:0.383380:0.478754:0.383380:0.462257:0.374884:0.462257:0.000000
2:@0.374884:0.495093:0.383380:0.495093:0.383380:0.478595:0.374884:0.478595:0.000000
5:@0.421816:0.478754:0.430312:0.478754:0.430312:0.462257:0.421816:0.462257:0.000000
2:@0.421816:0.495093:0.430312:0.495093:0.430312:0.478595:0.421816:0.478595:0.000000
1:@0.187561:0.606282:0.196057:0.606282:0.196057:0.589785:0.187561:0.589785:0.000000
2:@0.187561:0.622621:0.196057:0.622621:0.196057:0.606123:0.187561:0.606123:0.000000
Competencia :@0.684408:0.104916:0.782031:0.104916:0.782031:0.089444:0.684408:0.089444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.684408:0.117484:0.768471:0.117484:0.768471:0.102012:0.684408:0.102012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el ejercicio resuelto 1, :@0.684646:0.141959:0.845349:0.141959:0.845349:0.126896:0.684646:0.126896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el reemplazo de   de la primera :@0.638103:0.157801:0.844397:0.157801:0.844397:0.142738:0.638103:0.142738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.744626:0.157906:0.751451:0.157906:0.751451:0.142870:0.744626:0.142870:0.000000
ecuación en la segunda y :@0.638103:0.173643:0.804063:0.173643:0.804063:0.158580:0.638103:0.158580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tercera ecuaciones dio lugar :@0.638103:0.189485:0.822884:0.189485:0.822884:0.174422:0.638103:0.174422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al sistema de dos ecuaciones :@0.638103:0.205327:0.827051:0.205327:0.827051:0.190264:0.638103:0.190264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineales con las incógnitas  ,  . :@0.638103:0.221169:0.833649:0.221169:0.833649:0.206106:0.638103:0.206106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y z:@0.807968:0.221274:0.827352:0.221274:0.827352:0.206238:0.807968:0.206238:0.000000:0.000000:0.000000
Este sistema lo resolvemos por :@0.638103:0.237011:0.839716:0.237011:0.839716:0.221948:0.638103:0.221948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el método de sustitución.:@0.638103:0.252853:0.802652:0.252853:0.802652:0.237790:0.638103:0.237790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Este método es muy flexible en :@0.638103:0.275824:0.844448:0.275824:0.844448:0.260760:0.638103:0.260760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el siguiente sentido: la incógni-:@0.638103:0.291666:0.836200:0.291666:0.836200:0.276602:0.638103:0.276602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ta   fue elegida de la primera :@0.638103:0.307508:0.828195:0.307508:0.828195:0.292444:0.638103:0.292444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.654884:0.307613:0.661709:0.307613:0.661709:0.292576:0.654884:0.292576:0.000000
ecuación; esta misma incógnita :@0.638103:0.323350:0.844502:0.323350:0.844502:0.308286:0.638103:0.308286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se pudo obtener de la segunda :@0.638103:0.339192:0.842251:0.339192:0.842251:0.324128:0.638103:0.324128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o tercera ecuación y se reem-:@0.638103:0.355034:0.827651:0.355034:0.827651:0.339970:0.638103:0.339970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plazó en las restantes, lo que :@0.638103:0.370876:0.825910:0.370876:0.825910:0.355812:0.638103:0.355812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dio lugar a un sistema de dos :@0.638103:0.386717:0.830186:0.386717:0.830186:0.371654:0.638103:0.371654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones lineales con dos :@0.638103:0.402559:0.819998:0.402559:0.819998:0.387496:0.638103:0.387496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnitas:@0.638103:0.418401:0.704838:0.418401:0.704838:0.403338:0.638103:0.403338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ) :@0.706511:0.441372:0.740354:0.441372:0.740354:0.426309:0.706511:0.426309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x z:@0.711946:0.441478:0.731137:0.441478:0.731137:0.426441:0.711946:0.426441:0.000000:0.000000:0.000000
:@0.740363:0.441021:0.754318:0.441021:0.754318:0.428284:0.740363:0.428284:0.000000
 :@0.754318:0.441172:0.758715:0.441172:0.758715:0.427799:0.754318:0.427799:0.000000
:@0.758715:0.440367:0.770810:0.440367:0.770810:0.428674:0.758715:0.428674:0.000000
2:@0.770810:0.435571:0.775333:0.435571:0.775333:0.426789:0.770810:0.426789:0.000000
.:@0.775332:0.441370:0.777847:0.441370:0.777847:0.426307:0.775332:0.426307:0.000000
Competencia :@0.684804:0.504122:0.782426:0.504122:0.782426:0.488649:0.684804:0.488649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
socioemocional:@0.684804:0.516690:0.795179:0.516690:0.795179:0.501217:0.684804:0.501217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ¿Has escuchado sobre la :@0.685042:0.541164:0.849716:0.541164:0.849716:0.526101:0.685042:0.526101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cadena de favores? Se trata de :@0.638498:0.557006:0.836857:0.557006:0.836857:0.541943:0.638498:0.541943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacer tres favores a tres distintas :@0.638498:0.572848:0.850439:0.572848:0.850439:0.557785:0.638498:0.557785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
personas y pedirles que no te :@0.638498:0.588690:0.832071:0.588690:0.832071:0.573627:0.638498:0.573627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lo agradezcan, sino que ellas :@0.638498:0.604532:0.823700:0.604532:0.823700:0.589469:0.638498:0.589469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
también hagan tres favores a :@0.638498:0.620374:0.827923:0.620374:0.827923:0.605311:0.638498:0.605311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otras personas. :@0.638498:0.636216:0.739096:0.636216:0.739096:0.621153:0.638498:0.621153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde:@0.638503:0.856541:0.707456:0.856541:0.707456:0.841068:0.638503:0.841068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: ¿te parece que esto :@0.707456:0.856118:0.841684:0.856118:0.841684:0.841055:0.707456:0.841055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se puede hacer en tu escuela o :@0.638503:0.871960:0.841033:0.871960:0.841033:0.856897:0.638503:0.856897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
barrio?, ¿cómo crees que estas :@0.638503:0.887802:0.836300:0.887802:0.836300:0.872739:0.638503:0.872739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acciones influyen en ti y en las :@0.638503:0.903644:0.837462:0.903644:0.837462:0.888581:0.638503:0.888581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
personas a tu alrededor?:@0.638503:0.919486:0.796143:0.919486:0.796143:0.904423:0.638503:0.904423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pixabay.com:@0.866555:0.820246:0.866555:0.785877:0.855087:0.785877:0.855087:0.820246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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