60:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Conjuntos numéricos:@0.073089:0.043661:0.262309:0.043661:0.262309:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.1 Solución de ecuaciones:@0.293660:0.241593:0.505305:0.241593:0.505305:0.224646:0.293660:0.224646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En matemáticas se encuentran expresiones como :@0.293660:0.273517:0.658183:0.273517:0.658183:0.257084:0.293660:0.257084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
65:@0.660174:0.267275:0.677881:0.267275:0.677881:0.250842:0.660174:0.250842:0.000000:0.000000
10:@0.660174:0.281255:0.677881:0.281255:0.677881:0.264821:0.660174:0.264821:0.000000:0.000000
   :@0.680164:0.273516:0.703394:0.273516:0.703394:0.257082:0.680164:0.257082:0.000000:0.000000:0.000000
1:@0.684121:0.272961:0.699455:0.272961:0.699455:0.259246:0.684121:0.259246:0.000000
65:@0.707870:0.267275:0.725762:0.267275:0.725762:0.250842:0.707870:0.250842:0.000000:0.000000
10:@0.707870:0.281255:0.725762:0.281255:0.725762:0.264821:0.707870:0.264821:0.000000:0.000000
   6   1:@0.730235:0.273516:0.794421:0.273516:0.794421:0.257082:0.730235:0.257082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 1:@0.734193:0.272961:0.781573:0.272961:0.781573:0.259246:0.734193:0.259246:0.000000:0.000000:0.000000
Estas expresiones reciben el nombre de igualdad.:@0.293670:0.297300:0.651294:0.297300:0.651294:0.280866:0.293670:0.280866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Toda igualdad está formada por dos miembros::@0.293670:0.321084:0.636220:0.321084:0.636220:0.304650:0.293670:0.304650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6,5   0,5 :@0.529651:0.348446:0.598703:0.348459:0.598703:0.332025:0.529651:0.332012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.554519:0.347891:0.569853:0.347891:0.569853:0.334176:0.554519:0.334176:0.000000
5:@0.612971:0.347904:0.628304:0.347904:0.628304:0.334188:0.612971:0.334188:0.000000
   6   1:@0.628212:0.348459:0.691523:0.348459:0.691523:0.332025:0.628212:0.332025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.663341:0.347904:0.678675:0.347904:0.678675:0.334188:0.663341:0.334188:0.000000
1.  miembro   2.  miembro:@0.501726:0.375821:0.719478:0.375822:0.719478:0.359388:0.501726:0.359387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
er:@0.513752:0.369758:0.522080:0.369758:0.522080:0.360177:0.513752:0.360177:0.000000:0.000000
o:@0.642200:0.369758:0.647909:0.369758:0.647909:0.360177:0.642200:0.360177:0.000000
Observa lo que sucede con una igualdad cuando sumamos, restamos, multiplicamos o :@0.293652:0.403184:0.931763:0.403184:0.931763:0.386750:0.293652:0.386750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dividimos el mismo número racional en ambos miembros de ella::@0.293652:0.419826:0.768277:0.419826:0.768277:0.403392:0.293652:0.403392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Suma 2,5:@0.416011:0.449727:0.488370:0.449727:0.488370:0.432780:0.416011:0.432780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resta 2,5:@0.732984:0.449727:0.803795:0.449727:0.803795:0.432780:0.732984:0.432780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(6,5   0,5)   :@0.342588:0.467435:0.435210:0.467435:0.435210:0.451001:0.342588:0.451001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.370532:0.466880:0.385865:0.466880:0.385865:0.453165:0.370532:0.453165:0.000000
1:@0.415938:0.466880:0.431271:0.466880:0.431271:0.453165:0.415938:0.453165:0.000000
2,5:@0.433398:0.467435:0.454419:0.467435:0.454419:0.451001:0.433398:0.451001:0.000000:0.000000:0.000000
   6   (1   :@0.454325:0.467435:0.537782:0.467435:0.537782:0.451001:0.454325:0.451001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 1 1:@0.456546:0.466880:0.533843:0.466880:0.533843:0.453165:0.456546:0.453165:0.000000:0.000000:0.000000:0.000000:0.000000
2,5:@0.535972:0.467435:0.556993:0.467435:0.556993:0.451001:0.535972:0.451001:0.000000:0.000000:0.000000
):@0.556901:0.467435:0.561779:0.467435:0.561779:0.451001:0.556901:0.451001:0.000000
7   2,5   6   3,5:@0.392790:0.487650:0.511595:0.487650:0.511595:0.471216:0.392790:0.471216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.403913:0.487095:0.419246:0.487095:0.419246:0.473379:0.403913:0.473379:0.000000
5 1:@0.444521:0.487095:0.488437:0.487095:0.488437:0.473379:0.444521:0.473379:0.000000:0.000000:0.000000
9,5   9,5:@0.421375:0.507866:0.483011:0.507866:0.483011:0.491432:0.421375:0.491432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.444521:0.507311:0.459854:0.507311:0.459854:0.493596:0.444521:0.493596:0.000000
(6,5   0,5)   :@0.658795:0.467435:0.751417:0.467435:0.751417:0.451001:0.658795:0.451001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.686739:0.466880:0.702072:0.466880:0.702072:0.453165:0.686739:0.453165:0.000000
2:@0.732144:0.466880:0.747478:0.466880:0.747478:0.453165:0.732144:0.453165:0.000000
2,5:@0.749606:0.467435:0.770627:0.467435:0.770627:0.451001:0.749606:0.451001:0.000000:0.000000:0.000000
   6   (1   :@0.770532:0.467435:0.853990:0.467435:0.853990:0.451001:0.770532:0.451001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 1 2:@0.772752:0.466880:0.850051:0.466880:0.850051:0.453165:0.772752:0.453165:0.000000:0.000000:0.000000:0.000000:0.000000
2,5:@0.852180:0.467435:0.873201:0.467435:0.873201:0.451001:0.852180:0.451001:0.000000:0.000000:0.000000
):@0.873109:0.467435:0.877987:0.467435:0.877987:0.451001:0.873109:0.451001:0.000000
7   2,5   6   1,5:@0.708998:0.487650:0.827802:0.487650:0.827802:0.471216:0.708998:0.471216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.720119:0.487095:0.735453:0.487095:0.735453:0.473379:0.720119:0.473379:0.000000
5 2:@0.760729:0.487095:0.804645:0.487095:0.804645:0.473379:0.760729:0.473379:0.000000:0.000000:0.000000
4,5   4,5:@0.737581:0.507866:0.799219:0.507866:0.799219:0.491432:0.737581:0.491432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.760729:0.507311:0.776062:0.507311:0.776062:0.493596:0.760729:0.493596:0.000000
Multiplicación ( 4,5):@0.369143:0.525574:0.535232:0.525574:0.535232:0.508627:0.369143:0.508627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.490594:0.525020:0.505928:0.525020:0.505928:0.511304:0.490594:0.511304:0.000000
División ( 4,5):@0.709438:0.525574:0.827373:0.525574:0.827373:0.508627:0.709438:0.508627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.782736:0.525020:0.798069:0.525020:0.798069:0.511304:0.782736:0.511304:0.000000
(6,5   0,5)(:@0.337433:0.543284:0.413476:0.543284:0.413476:0.526850:0.337433:0.526850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.365378:0.542729:0.380711:0.542729:0.380711:0.529014:0.365378:0.529014:0.000000
2:@0.413361:0.542729:0.428694:0.542729:0.428694:0.529014:0.413361:0.529014:0.000000
4,5:@0.428602:0.543284:0.449623:0.543284:0.449623:0.526850:0.428602:0.526850:0.000000:0.000000:0.000000
)   (6   1)(:@0.449528:0.543284:0.525986:0.543284:0.525986:0.526850:0.449528:0.526850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 1:@0.456546:0.542729:0.505260:0.542729:0.505260:0.529014:0.456546:0.529014:0.000000:0.000000:0.000000
2:@0.525884:0.542729:0.541218:0.542729:0.541218:0.529014:0.525884:0.529014:0.000000
4,5:@0.541126:0.543284:0.562147:0.543284:0.562147:0.526850:0.541126:0.526850:0.000000:0.000000:0.000000
):@0.562055:0.543284:0.566933:0.543284:0.566933:0.526850:0.562055:0.526850:0.000000
2:@0.397273:0.562949:0.412606:0.562949:0.412606:0.549233:0.397273:0.549233:0.000000
31,5    31,5 :@0.412512:0.563499:0.511152:0.563499:0.511152:0.547065:0.412512:0.547065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
52:@0.444561:0.562944:0.477356:0.562944:0.477356:0.549228:0.444561:0.549228:0.000000:0.000000
(6,5   0,5) : (:@0.646079:0.543284:0.729705:0.543284:0.729705:0.526850:0.646079:0.526850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.674023:0.542729:0.689356:0.542729:0.689356:0.529014:0.674023:0.529014:0.000000
2:@0.729567:0.542729:0.744901:0.542729:0.744901:0.529014:0.729567:0.529014:0.000000
4,5:@0.744809:0.543284:0.765830:0.543284:0.765830:0.526850:0.744809:0.526850:0.000000:0.000000:0.000000
)   (5   1) : (:@0.765736:0.543284:0.849778:0.543284:0.849778:0.526850:0.765736:0.526850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 1:@0.772752:0.542729:0.821468:0.542729:0.821468:0.529014:0.772752:0.529014:0.000000:0.000000:0.000000
2:@0.849655:0.542729:0.864988:0.542729:0.864988:0.529014:0.849655:0.529014:0.000000
4,5:@0.864896:0.543284:0.885917:0.543284:0.885917:0.526850:0.864896:0.526850:0.000000:0.000000:0.000000
):@0.885825:0.543284:0.890703:0.543284:0.890703:0.526850:0.885825:0.526850:0.000000
2:@0.722350:0.562949:0.737683:0.562949:0.737683:0.549233:0.722350:0.549233:0.000000
1,5 :@0.737581:0.563499:0.762560:0.563499:0.762560:0.547065:0.737581:0.547065:0.000000:0.000000:0.000000:0.000000
52:@0.760729:0.562944:0.793522:0.562944:0.793522:0.549228:0.760729:0.549228:0.000000:0.000000
 :@0.775970:0.563499:0.780002:0.563499:0.780002:0.547065:0.775970:0.547065:0.000000
1,5:@0.793430:0.563499:0.814452:0.563499:0.814452:0.547065:0.793430:0.547065:0.000000:0.000000:0.000000
Se observa que la igualdad se conserva en cada caso. Esta propiedad recibe el nombre :@0.293655:0.589710:0.931509:0.589710:0.931509:0.573276:0.293655:0.573276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de propiedad uniforme de la igualdad.:@0.293655:0.606352:0.572440:0.606352:0.572440:0.589918:0.293655:0.589918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si en ambos miembros de una igualdad adicionamos, sustraemos, multiplicamos o :@0.300697:0.634648:0.923020:0.634648:0.923020:0.618214:0.300697:0.618214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dividimos por un mismo número, la igualdad se conserva.:@0.300697:0.651290:0.719642:0.651290:0.719642:0.634856:0.300697:0.634856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si en una igualdad se encuentra un término desconocido, la igualdad se llama ecuación.:@0.293665:0.681286:0.927902:0.681286:0.927902:0.664853:0.293665:0.664853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1 :@0.293665:0.708648:0.373350:0.708648:0.373350:0.691979:0.293665:0.691979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolvemos la siguiente ecuación:         :@0.293665:0.740573:0.615511:0.740574:0.615511:0.724140:0.293665:0.724139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.544869:0.740573:0.552342:0.740573:0.552342:0.724167:0.544869:0.724167:0.000000
1:@0.556226:0.740018:0.571559:0.740018:0.571559:0.726303:0.556226:0.726303:0.000000
3:@0.579396:0.734334:0.588379:0.734334:0.588379:0.717900:0.579396:0.717900:0.000000
4:@0.579396:0.748313:0.588379:0.748313:0.588379:0.731879:0.579396:0.731879:0.000000
5 2:@0.596239:0.740020:0.630771:0.740020:0.630771:0.726304:0.596239:0.726304:0.000000:0.000000:0.000000
3:@0.633441:0.734334:0.642424:0.734334:0.642424:0.717900:0.633441:0.717900:0.000000
5:@0.633441:0.748313:0.642424:0.748313:0.642424:0.731879:0.633441:0.731879:0.000000
Solución:@0.293662:0.767936:0.359795:0.767936:0.359795:0.751267:0.293662:0.751267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 8. Ecuaciones con números racionales:@0.071903:0.098522:0.715916:0.098522:0.715916:0.067281:0.071903:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué cantidad hay que añadir a 5,74 para que la suma total sea  11,34?:@0.293660:0.174186:0.814475:0.174186:0.814475:0.157752:0.293660:0.157752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.753455:0.173631:0.768788:0.173631:0.768788:0.159915:0.753455:0.159915:0.000000
Reto matemático:@0.302768:0.139665:0.425244:0.139665:0.425244:0.124259:0.302768:0.124259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En años anteriores :@0.084610:0.292151:0.209241:0.292151:0.209241:0.277211:0.084610:0.277211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solucionabas ecuaciones :@0.084610:0.307280:0.252794:0.307280:0.252794:0.292340:0.084610:0.292340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando los ejercicios :@0.084610:0.322409:0.225503:0.322409:0.225503:0.307469:0.084610:0.307469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tenían un cajón para :@0.084610:0.337538:0.223946:0.337538:0.223946:0.322598:0.084610:0.322598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
completar las igualdades. :@0.084610:0.352667:0.255574:0.352667:0.255574:0.337727:0.084610:0.337727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ese cajón es ahora :@0.084610:0.367796:0.209160:0.367796:0.209160:0.352856:0.084610:0.352856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reemplazado en las :@0.084610:0.382925:0.216349:0.382925:0.216349:0.367985:0.084610:0.367985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones por letras.:@0.084610:0.398054:0.227193:0.398054:0.227193:0.383114:0.084610:0.383114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.109761:0.419549:0.123701:0.419549:0.123701:0.407825:0.109761:0.407825:0.000000
   6   9     6:@0.123617:0.420331:0.228555:0.420331:0.228555:0.405391:0.123617:0.405391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 5:@0.127215:0.419827:0.170288:0.419827:0.170288:0.407358:0.127215:0.407358:0.000000:0.000000:0.000000
h:@0.185482:0.419549:0.199421:0.419549:0.199421:0.407825:0.185482:0.407825:0.000000
1:@0.202935:0.419827:0.216875:0.419827:0.216875:0.407358:0.202935:0.407358:0.000000
x:@0.116923:0.442608:0.123701:0.442608:0.123701:0.427694:0.116923:0.427694:0.000000
   6   9     6:@0.123634:0.442608:0.221426:0.442608:0.221426:0.427669:0.123634:0.427669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 5:@0.127231:0.442104:0.170304:0.442104:0.170304:0.429635:0.127231:0.429635:0.000000:0.000000:0.000000
x:@0.185499:0.442608:0.192276:0.442608:0.192276:0.427694:0.185499:0.427694:0.000000
1:@0.195807:0.442104:0.209746:0.442104:0.209746:0.429635:0.195807:0.429635:0.000000
Competencia :@0.078620:0.250181:0.177311:0.250181:0.177311:0.234775:0.078620:0.234775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078620:0.265310:0.167234:0.265310:0.167234:0.249904:0.078620:0.249904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplica la :@0.324849:0.810509:0.390726:0.810509:0.390726:0.794075:0.324849:0.794075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedad uniforme :@0.391128:0.810509:0.549817:0.810509:0.549817:0.793839:0.391128:0.793839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y resta :@0.324844:0.831713:0.375550:0.831713:0.375550:0.815280:0.324844:0.815280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.379411:0.825472:0.388394:0.825472:0.388394:0.809038:0.379411:0.809038:0.000000
4:@0.379411:0.839451:0.388394:0.839451:0.388394:0.823017:0.379411:0.823017:0.000000
y:@0.354525:0.870793:0.361998:0.870793:0.361998:0.854387:0.354525:0.854387:0.000000
           :@0.361931:0.870785:0.454109:0.870785:0.454109:0.854351:0.361931:0.854351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.364152:0.870231:0.379485:0.870231:0.379485:0.856515:0.364152:0.856515:0.000000
3:@0.385594:0.864543:0.394577:0.864543:0.394577:0.848109:0.385594:0.848109:0.000000
4:@0.385594:0.878522:0.394577:0.878522:0.394577:0.862089:0.385594:0.862089:0.000000
2:@0.400698:0.870231:0.416032:0.870231:0.416032:0.856515:0.400698:0.856515:0.000000
3:@0.420938:0.864543:0.429921:0.864543:0.429921:0.848109:0.420938:0.848109:0.000000
4:@0.420938:0.878522:0.429921:0.878522:0.429921:0.862089:0.420938:0.862089:0.000000
52 2:@0.434837:0.870231:0.499550:0.870231:0.499550:0.856515:0.434837:0.856515:0.000000:0.000000:0.000000:0.000000
3:@0.470318:0.864543:0.479301:0.864543:0.479301:0.848109:0.470318:0.848109:0.000000
5:@0.470318:0.878522:0.479301:0.878522:0.479301:0.862089:0.470318:0.862089:0.000000
   :@0.481998:0.870785:0.503489:0.870785:0.503489:0.854351:0.481998:0.854351:0.000000:0.000000:0.000000
3:@0.504457:0.864543:0.513439:0.864543:0.513439:0.848109:0.504457:0.848109:0.000000
4:@0.504457:0.878522:0.513439:0.878522:0.513439:0.862089:0.504457:0.862089:0.000000
y:@0.352468:0.909865:0.359941:0.909865:0.359941:0.893458:0.352468:0.893458:0.000000
   0   :@0.359868:0.909857:0.409944:0.909857:0.409944:0.893423:0.359868:0.893423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 52:@0.362088:0.909302:0.423466:0.909302:0.423466:0.895587:0.362088:0.895587:0.000000:0.000000:0.000000:0.000000
27:@0.425746:0.903615:0.443545:0.903615:0.443545:0.887182:0.425746:0.887182:0.000000:0.000000
20:@0.425746:0.917595:0.443545:0.917595:0.443545:0.901161:0.425746:0.901161:0.000000:0.000000
;   :@0.445841:0.909857:0.462622:0.909857:0.462622:0.893423:0.445841:0.893423:0.000000:0.000000:0.000000:0.000000
y:@0.451183:0.909857:0.458656:0.909857:0.458656:0.893451:0.451183:0.893451:0.000000
52:@0.460810:0.909302:0.493605:0.909302:0.493605:0.895587:0.460810:0.895587:0.000000:0.000000
 :@0.476051:0.909857:0.480082:0.909857:0.480082:0.893423:0.476051:0.893423:0.000000
 :@0.493513:0.909857:0.497544:0.909857:0.497544:0.893423:0.493513:0.893423:0.000000
27:@0.498104:0.903615:0.515904:0.903615:0.515904:0.887182:0.498104:0.887182:0.000000:0.000000
20:@0.498104:0.917595:0.515904:0.917595:0.515904:0.901161:0.498104:0.901161:0.000000:0.000000
Utiliza trasposición de términos.:@0.666604:0.795721:0.897181:0.795721:0.897181:0.779287:0.666604:0.779287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.737307:0.820503:0.744780:0.820503:0.744780:0.804097:0.737307:0.804097:0.000000
   :@0.744715:0.820492:0.766208:0.820492:0.766208:0.804058:0.744715:0.804058:0.000000:0.000000:0.000000
52:@0.746935:0.819937:0.779729:0.819937:0.779729:0.806221:0.746935:0.806221:0.000000:0.000000
3:@0.783619:0.814250:0.792602:0.814250:0.792602:0.797816:0.783619:0.797816:0.000000
5:@0.783619:0.828229:0.792602:0.828229:0.792602:0.811795:0.783619:0.811795:0.000000
   :@0.796503:0.820492:0.817996:0.820492:0.817996:0.804058:0.796503:0.804058:0.000000:0.000000:0.000000
2:@0.798723:0.819937:0.814057:0.819937:0.814057:0.806221:0.798723:0.806221:0.000000
3:@0.818961:0.814250:0.827944:0.814250:0.827944:0.797816:0.818961:0.797816:0.000000
4:@0.818961:0.828229:0.827944:0.828229:0.827944:0.811795:0.818961:0.811795:0.000000
La incógnita se deja en el primer :@0.666604:0.847852:0.905372:0.847852:0.905372:0.831418:0.666604:0.831418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
miembro y el   pasa al segundo :@0.666604:0.868155:0.905407:0.868165:0.905407:0.851732:0.666604:0.851722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.769750:0.862186:0.777100:0.862186:0.777100:0.848740:0.769750:0.848740:0.000000
4:@0.769750:0.874270:0.777100:0.874270:0.777100:0.860824:0.769750:0.860824:0.000000
término con operación opuesta, es :@0.666609:0.884807:0.905480:0.884807:0.905480:0.868373:0.666609:0.868373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decir, con resta.:@0.666609:0.901449:0.771056:0.901449:0.771056:0.885015:0.666609:0.885015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.751577:0.926232:0.759051:0.926232:0.759051:0.909825:0.751577:0.909825:0.000000
   :@0.758984:0.926226:0.780477:0.926226:0.780477:0.909792:0.758984:0.909792:0.000000:0.000000:0.000000
52:@0.761204:0.925671:0.793998:0.925671:0.793998:0.911955:0.761204:0.911955:0.000000:0.000000
27:@0.796279:0.919984:0.814078:0.919984:0.814078:0.903550:0.796279:0.903550:0.000000:0.000000
20:@0.796279:0.933963:0.814078:0.933963:0.814078:0.917529:0.796279:0.917529:0.000000:0.000000
DBA 3 (Ev. 3) Determina el valor desconocido de una cantidad a partir de las transformaciones de una expresión algebraica.:@0.266576:0.971366:0.913982:0.971366:0.913982:0.959414:0.266576:0.959414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En las finanzas personales :@0.078581:0.533194:0.251624:0.533194:0.251624:0.518254:0.078581:0.518254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
podemos aplicar un :@0.078581:0.548323:0.214376:0.548323:0.214376:0.533383:0.078581:0.533383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo de la vida real :@0.078581:0.563452:0.230769:0.563452:0.230769:0.548512:0.078581:0.548512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como este::@0.078581:0.578581:0.151065:0.578581:0.151065:0.563641:0.078581:0.563641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Supón que estás :@0.078581:0.593710:0.191836:0.593710:0.191836:0.578770:0.078581:0.578770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calculando el costo de :@0.078581:0.608839:0.230367:0.608839:0.230367:0.593899:0.078581:0.593899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
varios productos con :@0.078581:0.623968:0.221212:0.623968:0.221212:0.609028:0.078581:0.609028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
descuentos en una :@0.078581:0.639097:0.208145:0.639097:0.208145:0.624157:0.078581:0.624157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienda. En un periodo de :@0.078581:0.654226:0.245376:0.654226:0.245376:0.639286:0.078581:0.639286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
descuentos, encuentras la :@0.078581:0.669355:0.253401:0.669355:0.253401:0.654415:0.078581:0.654415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente oferta::@0.078581:0.684484:0.184854:0.684484:0.184854:0.669544:0.078581:0.669544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Descuento en la tienda: :@0.078581:0.699613:0.244233:0.699613:0.244233:0.684458:0.078581:0.684458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del precio original.:@0.078581:0.714742:0.200114:0.714742:0.200114:0.699802:0.078581:0.699802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si el precio original de :@0.078581:0.729871:0.227492:0.729871:0.227492:0.714931:0.078581:0.714931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un producto es $60.000, :@0.078581:0.744999:0.241283:0.744999:0.241283:0.730060:0.078581:0.730060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
quieres saber cuánto :@0.078581:0.760128:0.219987:0.760128:0.219987:0.745189:0.078581:0.745189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pagarás después de aplicar :@0.078581:0.775257:0.260913:0.775257:0.260913:0.760317:0.078581:0.760317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el descuento.:@0.078581:0.790386:0.166571:0.790386:0.166571:0.775446:0.078581:0.775446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular el descuento::@0.078581:0.889720:0.215953:0.889720:0.215953:0.874781:0.078581:0.874781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
descuento     60   15:@0.078581:0.904849:0.234072:0.904849:0.234072:0.889909:0.078581:0.889909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 3:@0.149030:0.904345:0.179754:0.904345:0.179754:0.891876:0.149030:0.891876:0.000000:0.000000:0.000000
5:@0.201357:0.904345:0.215297:0.904345:0.215297:0.891876:0.201357:0.891876:0.000000
3:@0.078581:0.919474:0.092520:0.919474:0.092520:0.907005:0.078581:0.907005:0.000000
 calcular el precio final::@0.092102:0.919978:0.232292:0.919978:0.232292:0.905038:0.092102:0.905038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
precio final   60   15   45:@0.078581:0.935107:0.254370:0.935107:0.254370:0.920167:0.078581:0.920167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.150570:0.934603:0.164509:0.934603:0.164509:0.922134:0.150570:0.922134:0.000000
2:@0.186113:0.934603:0.200052:0.934603:0.200052:0.922134:0.186113:0.922134:0.000000
5:@0.221655:0.934603:0.235595:0.934603:0.235595:0.922134:0.221655:0.922134:0.000000
Interdisciplinariedad :@0.078564:0.474948:0.230949:0.474948:0.230949:0.459542:0.078564:0.459542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática  :@0.078564:0.490077:0.164057:0.490077:0.164057:0.475137:0.078564:0.475137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y Economía:@0.078564:0.505206:0.155751:0.505206:0.155751:0.490266:0.078564:0.490266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000