:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.090870:0.242599:0.090870:0.242599:0.075506:0.117728:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.091656:0.108221:0.091656:0.108221:0.074520:0.096132:0.074520:0.000000
Método de igualación:@0.096359:0.522058:0.317407:0.522058:0.317407:0.500548:0.096359:0.500548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.096359:0.548403:0.110585:0.548403:0.110585:0.531503:0.096359:0.531503:0.000000:0.000000
  Martín fue al cine y compró 2 entradas para adultos y 1 entrada infantil, pagando :@0.110585:0.548403:0.716562:0.548403:0.716562:0.532014:0.110585:0.532014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en total $34. Su amiga Laura compró 1 entrada para adulto y 2 entradas infantiles, :@0.124848:0.565000:0.716541:0.565000:0.716541:0.548611:0.124848:0.548611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y pagó $28. ¿Cuánto cuesta una entrada para adulto y cuánto una entrada infantil?:@0.124848:0.581596:0.700933:0.581596:0.700933:0.565207:0.124848:0.565207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respondemos: La entrada de adulto cuesta $13,34 y la entrada infantil $7,33.:@0.096359:0.910329:0.655264:0.910329:0.655264:0.893940:0.096359:0.893940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.102121:0.172221:0.154372:0.172221:0.154372:0.156643:0.102121:0.156643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Formamos el sistema de ecuaciones, :@0.157756:0.172221:0.394451:0.172221:0.394451:0.157322:0.157756:0.157322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
consideramos como   el precio del pan, :@0.102121:0.187309:0.370610:0.187309:0.370610:0.172410:0.102121:0.172410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.242255:0.187309:0.249040:0.187309:0.249040:0.172435:0.242255:0.172435:0.000000
mientras que y es el precio del queso.:@0.102121:0.202397:0.352297:0.202397:0.352297:0.187498:0.102121:0.187498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.117198:0.225303:0.125292:0.225303:0.125292:0.210553:0.117198:0.210553:0.000000
7:@0.171564:0.225303:0.179657:0.225303:0.179657:0.210553:0.171564:0.210553:0.000000
2:@0.113052:0.243974:0.121146:0.243974:0.121146:0.229224:0.113052:0.229224:0.000000
3:@0.143718:0.243974:0.151811:0.243974:0.151811:0.229224:0.143718:0.229224:0.000000
8:@0.175478:0.243974:0.183571:0.243974:0.183571:0.229224:0.175478:0.229224:0.000000
x:@0.125773:0.225303:0.132490:0.225303:0.132490:0.210578:0.125773:0.210578:0.000000
y:@0.149141:0.225303:0.155874:0.225303:0.155874:0.210578:0.149141:0.210578:0.000000
x:@0.121859:0.243974:0.128576:0.243974:0.128576:0.229249:0.121859:0.229249:0.000000
y:@0.152773:0.243974:0.159506:0.243974:0.159506:0.229249:0.152773:0.229249:0.000000
+=:@0.136188:0.224930:0.169225:0.224930:0.169225:0.209682:0.136188:0.209682:0.000000:0.000000
+:@0.132276:0.243601:0.141381:0.243601:0.141381:0.228353:0.132276:0.228353:0.000000
=:@0.163754:0.243601:0.172859:0.243601:0.172859:0.228353:0.163754:0.228353:0.000000
:@0.104901:0.226061:0.113094:0.226061:0.113094:0.210814:0.104901:0.210814:0.000000
:@0.104901:0.236393:0.113094:0.236393:0.113094:0.221145:0.104901:0.221145:0.000000
:@0.104901:0.246749:0.113094:0.246749:0.113094:0.231501:0.104901:0.231501:0.000000
Paso 2.:@0.409537:0.172221:0.461787:0.172221:0.461787:0.156643:0.409537:0.156643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Despejamos   en la primera :@0.465171:0.172221:0.653534:0.172221:0.653534:0.157322:0.465171:0.157322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.551597:0.172221:0.558398:0.172221:0.558398:0.157347:0.551597:0.157347:0.000000
ecuación y determinamos los puntos :@0.409537:0.187309:0.660466:0.187309:0.660466:0.172410:0.409537:0.172410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por donde pasa la recta. 5  +   = 7:@0.409537:0.202397:0.637904:0.202397:0.637904:0.187498:0.409537:0.187498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.581498:0.202397:0.588283:0.202397:0.588283:0.187523:0.581498:0.187523:0.000000
y:@0.605605:0.202397:0.612406:0.202397:0.612406:0.187523:0.605605:0.187523:0.000000
Si   = 0; 5(0) +   = 7;   = 7:@0.409537:0.217484:0.577077:0.217484:0.577077:0.202585:0.409537:0.202585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.424480:0.217484:0.431264:0.217484:0.431264:0.202610:0.424480:0.202610:0.000000
y:@0.505896:0.217484:0.512698:0.217484:0.512698:0.202610:0.505896:0.202610:0.000000
y:@0.544779:0.217484:0.551580:0.217484:0.551580:0.202610:0.544779:0.202610:0.000000
Si   = 0; 5  + 0 = 7;   = 7/5:@0.409537:0.232572:0.582237:0.232572:0.582237:0.217673:0.409537:0.217673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.424480:0.232572:0.431281:0.232572:0.431281:0.217698:0.424480:0.217698:0.000000
x:@0.471537:0.232572:0.478322:0.232572:0.478322:0.217698:0.471537:0.217698:0.000000
x:@0.535900:0.232572:0.542685:0.232572:0.542685:0.217698:0.535900:0.217698:0.000000
Los dos puntos son: (0, 7) y (7/5, 0):@0.409537:0.254788:0.637669:0.254788:0.637669:0.239889:0.409537:0.239889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 3.:@0.102113:0.280739:0.154364:0.280739:0.154364:0.265161:0.102113:0.265161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Despejamos   en la segunda :@0.154364:0.280739:0.352277:0.280739:0.352277:0.265840:0.154364:0.265840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.244459:0.280739:0.251260:0.280739:0.251260:0.265865:0.244459:0.265865:0.000000
ecuación y determinamos los puntos :@0.102113:0.295827:0.353044:0.295827:0.353044:0.280928:0.102113:0.280928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por donde pasa la recta.:@0.102113:0.310914:0.262231:0.310914:0.262231:0.296015:0.102113:0.296015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2  + 3  = 8:@0.102113:0.333131:0.174869:0.333131:0.174869:0.318232:0.102113:0.318232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.110289:0.333131:0.117073:0.333131:0.117073:0.318257:0.110289:0.318257:0.000000
y:@0.142570:0.333131:0.149372:0.333131:0.149372:0.318257:0.142570:0.318257:0.000000
Si   = 0; 2(0) + 3  = 8;   = 8/3:@0.102113:0.348218:0.291885:0.348218:0.291885:0.333319:0.102113:0.333319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.117057:0.348218:0.123841:0.348218:0.123841:0.333344:0.117057:0.333344:0.000000
y:@0.206648:0.348218:0.213450:0.348218:0.213450:0.333344:0.206648:0.333344:0.000000
y:@0.245531:0.348218:0.252332:0.348218:0.252332:0.333344:0.245531:0.333344:0.000000
Si   = 0; 2  + 3(0) = 8;   = 4:@0.102113:0.363306:0.277813:0.363306:0.277813:0.348407:0.102113:0.348407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.117057:0.363306:0.123858:0.363306:0.123858:0.348432:0.117057:0.348432:0.000000
x:@0.164114:0.363306:0.170899:0.363306:0.170899:0.348432:0.164114:0.348432:0.000000
x:@0.245531:0.363306:0.252315:0.363306:0.252315:0.348432:0.245531:0.348432:0.000000
Los dos puntos por donde pasa la segunda :@0.102113:0.385522:0.392766:0.385522:0.392766:0.370623:0.102113:0.370623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta son: (0, 8/3) y (4, 0):@0.102113:0.400610:0.262216:0.400610:0.262216:0.385711:0.102113:0.385711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 4.:@0.409537:0.280739:0.461787:0.280739:0.461787:0.265161:0.409537:0.265161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Gracamos las rectas y :@0.461787:0.280739:0.619543:0.280739:0.619543:0.265840:0.461787:0.265840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.492511:0.280739:0.496180:0.280739:0.496180:0.265840:0.492511:0.265840:0.000000
determinamos el punto de intersección.:@0.409537:0.295827:0.676667:0.295827:0.676667:0.280928:0.409537:0.280928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La solución en este caso es   = 1,   = 2:@0.432136:0.484195:0.682919:0.484195:0.682919:0.469296:0.432136:0.469296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.612676:0.484195:0.619461:0.484195:0.619461:0.469322:0.612676:0.469322:0.000000
y:@0.650955:0.484195:0.657757:0.484195:0.657757:0.469322:0.650955:0.469322:0.000000
y:@0.527055:0.314032:0.532496:0.314032:0.532496:0.302133:0.527055:0.302133:0.000000
0:@0.527763:0.427648:0.534303:0.427648:0.534303:0.415729:0.527763:0.415729:0.000000
1:@0.558038:0.430706:0.564578:0.430706:0.564578:0.418787:0.558038:0.418787:0.000000
1:@0.525083:0.404474:0.531623:0.404474:0.531623:0.392555:0.525083:0.392555:0.000000
–1:@0.516693:0.440050:0.529934:0.440050:0.529934:0.428131:0.516693:0.428131:0.000000:0.000000
–2:@0.516693:0.457874:0.529934:0.457874:0.529934:0.445955:0.516693:0.445955:0.000000:0.000000
2:@0.525083:0.386660:0.531623:0.386660:0.531623:0.374741:0.525083:0.374741:0.000000
3:@0.525083:0.368837:0.531623:0.368837:0.531623:0.356918:0.525083:0.356918:0.000000
4:@0.525083:0.351013:0.531623:0.351013:0.531623:0.339094:0.525083:0.339094:0.000000
5:@0.525083:0.333190:0.531623:0.333190:0.531623:0.321271:0.525083:0.321271:0.000000
–1:@0.507191:0.430696:0.520432:0.430696:0.520432:0.418777:0.507191:0.418777:0.000000:0.000000
–2:@0.483443:0.430696:0.496684:0.430696:0.496684:0.418777:0.483443:0.418777:0.000000:0.000000
–3:@0.459695:0.430696:0.472936:0.430696:0.472936:0.418777:0.459695:0.418777:0.000000:0.000000
–4:@0.435947:0.430696:0.449188:0.430696:0.449188:0.418777:0.435947:0.418777:0.000000:0.000000
2:@0.581760:0.430696:0.588300:0.430696:0.588300:0.418777:0.581760:0.418777:0.000000
3:@0.605508:0.430696:0.612048:0.430696:0.612048:0.418777:0.605508:0.418777:0.000000
4:@0.629256:0.430696:0.635796:0.430696:0.635796:0.418777:0.629256:0.418777:0.000000
x:@0.659906:0.421664:0.665334:0.421664:0.665334:0.409764:0.659906:0.409764:0.000000
5  +   = 7:@0.557676:0.336871:0.609341:0.336871:0.609341:0.324952:0.557676:0.324952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.564217:0.336871:0.569644:0.336871:0.569644:0.324972:0.564217:0.324972:0.000000
y:@0.583502:0.336871:0.588943:0.336871:0.588943:0.324972:0.583502:0.324972:0.000000
2  + 3  = 8:@0.439539:0.365316:0.497743:0.365316:0.497743:0.353397:0.439539:0.353397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.446079:0.365316:0.451506:0.365316:0.451506:0.353417:0.446079:0.353417:0.000000
y:@0.471904:0.365316:0.477345:0.365316:0.477345:0.353417:0.471904:0.353417:0.000000
A:@0.571119:0.380686:0.578315:0.380686:0.578315:0.368786:0.571119:0.368786:0.000000
(1, 2):@0.578315:0.380686:0.603766:0.380686:0.603766:0.368766:0.578315:0.368766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 5.:@0.102121:0.430423:0.154372:0.430423:0.154372:0.414845:0.102121:0.414845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Respondemos: cada pan cuesta $1 :@0.154372:0.430423:0.392976:0.430423:0.392976:0.415524:0.154372:0.415524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y cada queso $2.:@0.102121:0.445511:0.212821:0.445511:0.212821:0.430612:0.102121:0.430612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.102121:0.616744:0.154372:0.616744:0.154372:0.601166:0.102121:0.601166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Planteamos el sistema :@0.157756:0.616744:0.309062:0.616744:0.309062:0.601845:0.157756:0.601845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ecuaciones.:@0.102121:0.631831:0.201093:0.631831:0.201093:0.616932:0.102121:0.616932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.102121:0.654048:0.108906:0.654048:0.108906:0.639174:0.102121:0.639174:0.000000
: costo de una entrada para adulto. :@0.108906:0.654048:0.343553:0.654048:0.343553:0.639149:0.108906:0.639149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.102121:0.669136:0.108923:0.669136:0.108923:0.654262:0.102121:0.654262:0.000000
: costo de una entrada infantil.:@0.108923:0.669136:0.309479:0.669136:0.309479:0.654237:0.108923:0.654237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.432265:0.632251:0.440358:0.632251:0.440358:0.617501:0.432265:0.617501:0.000000
34    :@0.487161:0.632251:0.518511:0.632259:0.518511:0.617509:0.487161:0.617501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.525880:0.632251:0.533973:0.632251:0.533973:0.617501:0.525880:0.617501:0.000000
2:@0.451912:0.650922:0.460005:0.650922:0.460005:0.636172:0.451912:0.636172:0.000000
28     :@0.483672:0.650922:0.518660:0.650929:0.518660:0.636179:0.483672:0.636172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.527071:0.650922:0.535164:0.650922:0.535164:0.636172:0.527071:0.636172:0.000000
x:@0.441075:0.632251:0.447792:0.632251:0.447792:0.617526:0.441075:0.617526:0.000000
y:@0.464443:0.632251:0.471176:0.632251:0.471176:0.617526:0.464443:0.617526:0.000000
x:@0.430046:0.650922:0.436763:0.650922:0.436763:0.636197:0.430046:0.636197:0.000000
y:@0.460960:0.650922:0.467693:0.650922:0.467693:0.636197:0.460960:0.636197:0.000000
+=:@0.451490:0.631878:0.484527:0.631878:0.484527:0.616630:0.451490:0.616630:0.000000:0.000000
():@0.520560:0.633453:0.537725:0.633453:0.537725:0.613966:0.520560:0.613966:0.000000:0.000000
+:@0.440463:0.650549:0.449568:0.650549:0.449568:0.635301:0.440463:0.635301:0.000000
=:@0.471941:0.650549:0.481046:0.650549:0.481046:0.635301:0.471941:0.635301:0.000000
():@0.520702:0.652124:0.541201:0.652124:0.541201:0.632637:0.520702:0.632637:0.000000:0.000000
 :@0.420627:0.631985:0.428820:0.634039:0.428820:0.618791:0.420627:0.616737:0.000000:0.000000:0.000000
:@0.420627:0.643337:0.428820:0.643337:0.428820:0.628089:0.420627:0.628089:0.000000
 :@0.420627:0.654722:0.428820:0.652884:0.428820:0.637636:0.420627:0.639474:0.000000:0.000000:0.000000
Paso 2.:@0.102121:0.701326:0.154372:0.701326:0.154372:0.685748:0.102121:0.685748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Despejamos la misma variable en :@0.154372:0.701326:0.384461:0.701326:0.384461:0.686427:0.154372:0.686427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ambas ecuaciones, en este caso.:@0.102121:0.716414:0.316817:0.716414:0.316817:0.701515:0.102121:0.701515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación 2:@0.601963:0.690589:0.674383:0.690589:0.674383:0.675690:0.601963:0.675690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.601242:0.707185:0.608027:0.707185:0.608027:0.692311:0.601242:0.692311:0.000000
 = 28 :@0.608027:0.707185:0.645368:0.707185:0.645368:0.692286:0.608027:0.692286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
– 2:@0.645382:0.707506:0.667624:0.707506:0.667624:0.691117:0.645382:0.691117:0.000000:0.000000:0.000000
y:@0.667624:0.707506:0.675106:0.707506:0.675106:0.691145:0.667624:0.691145:0.000000
Ecuación 1:@0.444075:0.690595:0.516496:0.690595:0.516496:0.675696:0.444075:0.675696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.446164:0.714346:0.453627:0.714346:0.453627:0.698952:0.446164:0.698952:0.000000
y:@0.506957:0.705591:0.514438:0.705591:0.514438:0.690198:0.506957:0.690198:0.000000
=:@0.458363:0.713931:0.468480:0.713931:0.468480:0.696989:0.458363:0.696989:0.000000
−:@0.494094:0.705176:0.504211:0.705176:0.504211:0.688234:0.494094:0.688234:0.000000
34:@0.472866:0.705591:0.490759:0.705591:0.490759:0.689921:0.472866:0.689921:0.000000:0.000000
2:@0.488824:0.725202:0.497817:0.725202:0.497817:0.709533:0.488824:0.709533:0.000000
Paso 3.:@0.102121:0.756821:0.154372:0.756821:0.154372:0.741243:0.102121:0.741243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Igualamos las dos ecuaciones para  .:@0.154372:0.756821:0.401688:0.756821:0.401688:0.741922:0.154372:0.741922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.391988:0.756821:0.398773:0.756821:0.398773:0.741947:0.391988:0.741947:0.000000
34:@0.511503:0.748151:0.527607:0.748151:0.527607:0.733401:0.511503:0.733401:0.000000:0.000000
2:@0.527288:0.765796:0.535381:0.765796:0.535381:0.751046:0.527288:0.751046:0.000000
28 2:@0.566865:0.756035:0.604778:0.756035:0.604778:0.741285:0.566865:0.741285:0.000000:0.000000:0.000000:0.000000
−:@0.530162:0.747777:0.539267:0.747777:0.539267:0.732529:0.530162:0.732529:0.000000
=:@0.555133:0.755662:0.564238:0.755662:0.564238:0.740414:0.555133:0.740414:0.000000
−:@0.585517:0.755662:0.594622:0.755662:0.594622:0.740414:0.585517:0.740414:0.000000
y:@0.542844:0.748144:0.549577:0.748144:0.549577:0.733418:0.542844:0.733418:0.000000
y:@0.605750:0.756035:0.612484:0.756035:0.612484:0.741310:0.605750:0.741310:0.000000
Paso 4.:@0.102121:0.804761:0.154372:0.804761:0.154372:0.789183:0.102121:0.789183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Resolvemos la ecuación resultante.:@0.154372:0.804761:0.390291:0.804761:0.390291:0.789862:0.154372:0.789862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
34 :@0.417854:0.787448:0.437873:0.787448:0.437873:0.772549:0.417854:0.772549:0.000000:0.000000:0.000000
–   = 2(28 – 2 ); 34 –   = 56 – 4:@0.437865:0.787756:0.661466:0.787756:0.661466:0.771367:0.437865:0.771367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.451114:0.787756:0.458596:0.787756:0.458596:0.771394:0.451114:0.771394:0.000000
y:@0.535789:0.787756:0.543271:0.787756:0.543271:0.771394:0.535789:0.771394:0.000000
y:@0.590667:0.787756:0.598149:0.787756:0.598149:0.771394:0.590667:0.771394:0.000000
y:@0.661466:0.787756:0.668948:0.787756:0.668948:0.771394:0.661466:0.771394:0.000000
3:@0.420109:0.810544:0.428202:0.810544:0.428202:0.795794:0.420109:0.795794:0.000000
22; :@0.451869:0.810544:0.476416:0.810544:0.476416:0.795794:0.451869:0.795794:0.000000:0.000000:0.000000:0.000000
22:@0.500442:0.802658:0.516546:0.802658:0.516546:0.787908:0.500442:0.787908:0.000000:0.000000
3:@0.504439:0.820309:0.512532:0.820309:0.512532:0.805559:0.504439:0.805559:0.000000
733:@0.531915:0.810544:0.560457:0.810544:0.560457:0.795794:0.531915:0.795794:0.000000:0.000000:0.000000
y:@0.429155:0.810544:0.435888:0.810544:0.435888:0.795819:0.429155:0.795819:0.000000
y:@0.476405:0.810544:0.483138:0.810544:0.483138:0.795819:0.476405:0.795819:0.000000
=:@0.440134:0.810171:0.449239:0.810171:0.449239:0.794923:0.440134:0.794923:0.000000
=:@0.487381:0.810171:0.496486:0.810171:0.496486:0.794923:0.487381:0.794923:0.000000
=:@0.520471:0.810171:0.529576:0.810171:0.529576:0.794923:0.520471:0.794923:0.000000
,:@0.539976:0.810544:0.542861:0.810544:0.542861:0.795794:0.539976:0.795794:0.000000
Paso 5.:@0.102121:0.847221:0.154372:0.847221:0.154372:0.831643:0.102121:0.831643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Reemplazar el valor de :@0.154372:0.847221:0.312431:0.847221:0.312431:0.832322:0.154372:0.832322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.312431:0.847221:0.319232:0.847221:0.319232:0.832347:0.312431:0.832347:0.000000
en cualquiera de las ecuaciones del sistema :@0.102121:0.862309:0.395870:0.862309:0.395870:0.847410:0.102121:0.847410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para hallar  .:@0.102121:0.877396:0.184794:0.877396:0.184794:0.862497:0.102121:0.862497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.175095:0.877396:0.181879:0.877396:0.181879:0.862522:0.175095:0.862522:0.000000
Reemplazamos y en la ecuación 2.:@0.417854:0.845712:0.646038:0.845712:0.646038:0.830813:0.417854:0.830813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.417854:0.862309:0.424638:0.862309:0.424638:0.847435:0.417854:0.847435:0.000000
 = 28 :@0.424638:0.862309:0.461980:0.862309:0.461980:0.847410:0.424638:0.847410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
– 2(7, 33):@0.461972:0.862623:0.528201:0.862623:0.528201:0.846234:0.461972:0.846234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.417837:0.879219:0.425301:0.879219:0.425301:0.862858:0.417837:0.862858:0.000000
 = 13,34:@0.425301:0.879219:0.483532:0.879219:0.483532:0.862830:0.425301:0.862830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos paso a paso:@0.096359:0.116969:0.251252:0.116969:0.251252:0.101605:0.096359:0.101605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.144572:0.110585:0.144572:0.110585:0.127671:0.096359:0.127671:0.000000:0.000000
  Regresemos a nuestro problema inicial y resolvamos por el método gráco: :@0.110585:0.144572:0.680034:0.144572:0.680034:0.128183:0.110585:0.128183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.650310:0.144572:0.654346:0.144572:0.654346:0.128183:0.650310:0.128183:0.000000
Los sistemas de :@0.754293:0.558905:0.861691:0.558905:0.861691:0.544006:0.754293:0.544006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones permiten :@0.754293:0.573993:0.898797:0.573993:0.898797:0.559094:0.754293:0.559094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
modelar y resolver :@0.754293:0.589081:0.880755:0.589081:0.880755:0.574182:0.754293:0.574182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
situaciones relacionadas :@0.754293:0.604168:0.919771:0.604168:0.919771:0.589269:0.754293:0.589269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con el uso eficiente :@0.754293:0.619256:0.887355:0.619256:0.887355:0.604357:0.754293:0.604357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de recursos. Por ejemplo, :@0.754293:0.634344:0.924244:0.634344:0.924244:0.619445:0.754293:0.619445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ayudan a encontrar :@0.754293:0.649431:0.887508:0.649431:0.887508:0.634532:0.754293:0.634532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
soluciones óptimas en :@0.754293:0.664519:0.907661:0.664519:0.907661:0.649620:0.754293:0.649620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problemas de producción, :@0.754293:0.679606:0.933661:0.679606:0.933661:0.664707:0.754293:0.664707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
consumo energético :@0.754293:0.694694:0.897088:0.694694:0.897088:0.679795:0.754293:0.679795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o distribución equitativa :@0.754293:0.709782:0.920058:0.709782:0.920058:0.694883:0.754293:0.694883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de bienes. Así, las :@0.754293:0.724869:0.872898:0.724869:0.872898:0.709970:0.754293:0.709970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas se convierten:@0.754293:0.739957:0.929791:0.739957:0.929791:0.725058:0.754293:0.725058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en una herramienta clave :@0.754293:0.755044:0.927477:0.755044:0.927477:0.740145:0.754293:0.740145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para tomar decisiones :@0.754293:0.770132:0.905181:0.770132:0.905181:0.755233:0.754293:0.755233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
responsables con el :@0.754293:0.785220:0.889635:0.785220:0.889635:0.770321:0.754293:0.770321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ambiente y la sociedad.:@0.754293:0.800307:0.911025:0.800307:0.911025:0.785408:0.754293:0.785408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo puedes ayudar :@0.754293:0.818953:0.898816:0.818953:0.898816:0.804079:0.754293:0.804079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al medio ambiente :@0.754293:0.834041:0.877119:0.834041:0.877119:0.819167:0.754293:0.819167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
empleando sistemas :@0.754293:0.849128:0.888042:0.849128:0.888042:0.834254:0.754293:0.834254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ecuaciones?:@0.754293:0.864216:0.849982:0.864216:0.849982:0.849342:0.754293:0.849342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desarrollo:@0.800494:0.519549:0.878729:0.519549:0.878729:0.502649:0.800494:0.502649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sostenible:@0.799024:0.533380:0.876839:0.533380:0.876839:0.516479:0.799024:0.516479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un consumidor :@0.754293:0.213197:0.861793:0.213197:0.861793:0.198298:0.754293:0.198298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
informado utiliza las :@0.754293:0.228284:0.891629:0.228284:0.891629:0.213385:0.754293:0.213385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas en cualquier :@0.754293:0.243372:0.930327:0.243372:0.930327:0.228473:0.754293:0.228473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transacción.:@0.754293:0.258460:0.834101:0.258460:0.834101:0.243561:0.754293:0.243561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Educación :@0.801769:0.173841:0.883453:0.173841:0.883453:0.156940:0.801769:0.156940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nanciera:@0.801594:0.187671:0.876643:0.187671:0.876643:0.170770:0.801594:0.170770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.806487:0.187671:0.810111:0.187671:0.810111:0.170770:0.806487:0.170770:0.000000
©Shutterstock:@0.933666:0.323639:0.933666:0.280814:0.921755:0.280814:0.921755:0.323639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000