58:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Sistemas de ecuaciones:@0.073089:0.043661:0.282490:0.043661:0.282490:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.157470:0.437491:0.157470:0.437491:0.140523:0.302768:0.140523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Describe:@0.293660:0.188655:0.363203:0.188655:0.363203:0.171708:0.293660:0.171708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. ¿Cómo puedes graficar la ecuación de una recta?:@0.363203:0.188655:0.729741:0.188655:0.729741:0.172222:0.363203:0.172222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 4. Sistemas de ecuaciones lineales con dos incógnitas:@0.073089:0.097734:0.903869:0.097734:0.903869:0.068055:0.073089:0.068055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.2 Solución de un sistema de ecuaciones lineales con dos incógnitas:@0.293660:0.512082:0.832356:0.512082:0.832356:0.495135:0.293660:0.495135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.293660:0.535871:0.302496:0.535871:0.302496:0.519201:0.293660:0.519201:0.000000:0.000000
Analizamos el sistema de ecuaciones planteado para el problema. Este sistema :@0.324042:0.535871:0.930598:0.535871:0.930598:0.519201:0.324042:0.519201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
consta de dos ecuaciones con dos incógnitas.:@0.323784:0.552513:0.667538:0.552513:0.667538:0.535843:0.323784:0.535843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293660:0.569155:0.297691:0.569155:0.297691:0.552721:0.293660:0.552721:0.000000
x:@0.345838:0.569155:0.353293:0.569155:0.353293:0.552748:0.345838:0.552748:0.000000
 +   = 10:@0.353219:0.569155:0.416117:0.569155:0.416117:0.552721:0.353219:0.552721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.372013:0.569155:0.379486:0.569155:0.379486:0.552748:0.372013:0.552748:0.000000
2  + 4  = 32:@0.345845:0.589371:0.433910:0.589371:0.433910:0.572937:0.345845:0.572937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.354740:0.589371:0.362195:0.589371:0.362195:0.572964:0.354740:0.572964:0.000000
y:@0.389806:0.589371:0.397280:0.589371:0.397280:0.572964:0.389806:0.572964:0.000000
• :@0.293660:0.613160:0.302680:0.613160:0.302680:0.596490:0.293660:0.596490:0.000000:0.000000
Verificamos si el par ordenado (2, 6) es solución del sistema. Para ello, sustituimos :@0.323858:0.613160:0.930434:0.613160:0.930434:0.596490:0.323858:0.596490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estos valores en cada ecuación del sistema::@0.323784:0.629801:0.649668:0.629801:0.649668:0.613132:0.323784:0.613132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293660:0.646443:0.297691:0.646443:0.297691:0.630009:0.293660:0.630009:0.000000
2 + 6 ≠ 10  y  2 . 2 + 4 . 6 ≠ 28;  (2, 6) no es solución del sistema.:@0.345845:0.646443:0.792708:0.646443:0.792708:0.630009:0.345845:0.630009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.293660:0.670232:0.302680:0.670232:0.302680:0.653563:0.293660:0.653563:0.000000:0.000000
Buscamos otro par ordenado (4, 6) y verificamos.:@0.323858:0.670232:0.690858:0.670232:0.690858:0.653563:0.323858:0.653563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 + 6 = 10  y  2 . 4 + 4 . 6 = 32;  (4, 6) sí es solución del sistema porque satisface :@0.345836:0.686874:0.930948:0.686874:0.930948:0.670440:0.345836:0.670440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a todas las ecuaciones.:@0.345836:0.703516:0.510162:0.703516:0.510162:0.687082:0.345836:0.687082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.293652:0.788902:0.370023:0.788902:0.370023:0.772233:0.293652:0.772233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.293660:0.809122:0.302680:0.809122:0.302680:0.792453:0.293660:0.792453:0.000000:0.000000
La suma de dos números es 5, el doble del primero más el segundo es igual a 9. :@0.323858:0.809122:0.931010:0.809122:0.931010:0.792453:0.323858:0.792453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuáles son los números?:@0.323784:0.825764:0.516571:0.825764:0.516571:0.809094:0.323784:0.809094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.322121:0.849553:0.326152:0.849553:0.326152:0.833119:0.322121:0.833119:0.000000
Planteamos el sistema de ecuaciones. :@0.345830:0.849553:0.624865:0.849553:0.624865:0.833119:0.345830:0.833119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.655112:0.849553:0.662567:0.849553:0.662567:0.833147:0.655112:0.833147:0.000000
 +   = 5:@0.662567:0.849553:0.717089:0.849553:0.717089:0.833119:0.662567:0.833119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.681600:0.849553:0.689073:0.849553:0.689073:0.833147:0.681600:0.833147:0.000000
 :@0.322121:0.869769:0.326152:0.869769:0.326152:0.853335:0.322121:0.853335:0.000000
   :@0.345839:0.869769:0.357934:0.869769:0.357934:0.853335:0.345839:0.853335:0.000000:0.000000:0.000000
 :@0.414144:0.869769:0.418176:0.869769:0.418176:0.853335:0.414144:0.853335:0.000000
 :@0.474386:0.869769:0.478417:0.869769:0.478417:0.853335:0.474386:0.853335:0.000000
 :@0.534627:0.869769:0.538658:0.869769:0.538658:0.853335:0.534627:0.853335:0.000000
        :@0.594861:0.869769:0.627111:0.869769:0.627111:0.853335:0.594861:0.853335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2  +  = 9:@0.655108:0.869769:0.725354:0.869769:0.725354:0.853335:0.655108:0.853335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y:@0.664094:0.869769:0.697338:0.869769:0.697338:0.853363:0.664094:0.853363:0.000000:0.000000:0.000000:0.000000
 :@0.322121:0.893558:0.326152:0.893558:0.326152:0.877124:0.322121:0.877124:0.000000
Probamos con varias parejas de números::@0.345830:0.893558:0.648791:0.893558:0.648791:0.877124:0.345830:0.877124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.322121:0.913774:0.326152:0.913774:0.326152:0.897340:0.322121:0.897340:0.000000
(3, 2)   3 + 2 = 5  y  2 . 3 + 2 ≠ 9; no satisface el sistema.:@0.345830:0.913774:0.748839:0.913774:0.748839:0.897340:0.345830:0.897340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.322121:0.933989:0.326152:0.933989:0.326152:0.917555:0.322121:0.917555:0.000000
(4, 1)    4 + 1 = 5  y  2 . 4 + 1 = 9; sí satisface el sistema.:@0.345830:0.933989:0.743926:0.933989:0.743926:0.917555:0.345830:0.917555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.1 Sistemas de ecuaciones lineales con dos incógnitas:@0.293652:0.248928:0.721169:0.248928:0.721169:0.231981:0.293652:0.231981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un :@0.303147:0.281545:0.328567:0.281545:0.328567:0.265111:0.303147:0.265111:0.000000:0.000000:0.000000
sistema:@0.329041:0.281545:0.389913:0.281545:0.389913:0.264598:0.329041:0.264598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de :@0.389913:0.281545:0.417395:0.281545:0.417395:0.265111:0.389913:0.265111:0.000000:0.000000:0.000000:0.000000
ecuaciones lineales:@0.417856:0.281545:0.571482:0.281545:0.571482:0.264598:0.417856:0.264598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 o sistema lineal es un conjunto de ecuaciones :@0.571482:0.281545:0.919674:0.281545:0.919674:0.265111:0.571482:0.265111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de primer grado que deben verificarse simultáneamente. :@0.303142:0.298186:0.724605:0.298186:0.724605:0.281753:0.303142:0.281753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el estacionamiento de un colegio hay 10 vehículos entre bicicletas y automóviles en :@0.293662:0.330693:0.930941:0.330693:0.930941:0.314260:0.293662:0.314260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
total. El total de ruedas que se contabilizaron es de 32. ¿Cómo escribes esta información :@0.293662:0.347335:0.930974:0.347335:0.930974:0.330901:0.293662:0.330901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con ecuaciones? :@0.293662:0.363977:0.419383:0.363977:0.419383:0.347543:0.293662:0.347543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Traducimos del lenguaje cotidiano al lenguaje matemático::@0.293662:0.387761:0.727073:0.387761:0.727073:0.371327:0.293662:0.371327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.314793:0.411545:0.323482:0.411545:0.323482:0.394598:0.314793:0.394598:0.000000
: representa el número de bicicletas        : representa el número de automóviles:@0.324034:0.411545:0.905795:0.411545:0.905795:0.395111:0.324034:0.395111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.612788:0.411545:0.621477:0.411545:0.621477:0.394598:0.612788:0.394598:0.000000
Hallar la :@0.304375:0.734413:0.365450:0.734413:0.365450:0.717979:0.304375:0.717979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solución:@0.366129:0.734413:0.431991:0.734413:0.431991:0.717466:0.366129:0.717466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de un :@0.431807:0.734413:0.483108:0.734413:0.483108:0.717979:0.431807:0.717979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema:@0.483789:0.734413:0.543557:0.734413:0.543557:0.717466:0.483789:0.717466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de :@0.543373:0.734413:0.570689:0.734413:0.570689:0.717979:0.543373:0.717979:0.000000:0.000000:0.000000:0.000000
ecuaciones lineales:@0.571370:0.734413:0.722052:0.734413:0.722052:0.717466:0.571370:0.717466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 consiste en encontrar una :@0.721868:0.734413:0.919194:0.734413:0.919194:0.717979:0.721868:0.717979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solución común a todas las ecuaciones del sistema.:@0.304373:0.751055:0.670770:0.751055:0.670770:0.734621:0.304373:0.734621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Total de vehículos 10:@0.660209:0.450336:0.813670:0.450336:0.813670:0.433902:0.660209:0.433902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Total de ruedas 32:@0.660209:0.476143:0.793661:0.476143:0.793661:0.459709:0.660209:0.459709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistema de :@0.376551:0.446503:0.467115:0.446503:0.467115:0.429556:0.376551:0.429556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones :@0.376551:0.461633:0.469011:0.461633:0.469011:0.444686:0.376551:0.444686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineales:@0.376551:0.476763:0.437277:0.476763:0.437277:0.459816:0.376551:0.459816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.498996:0.448098:0.506451:0.448098:0.506451:0.431692:0.498996:0.431692:0.000000
 +   = 10:@0.506451:0.448098:0.569956:0.448098:0.569956:0.431664:0.506451:0.431664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.525484:0.448098:0.532958:0.448098:0.532958:0.431692:0.525484:0.431692:0.000000
2  + 4  = 32:@0.498131:0.473906:0.587057:0.473906:0.587057:0.457473:0.498131:0.457473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.507114:0.473906:0.514569:0.473906:0.514569:0.457500:0.507114:0.457500:0.000000
y:@0.542585:0.473906:0.550058:0.473906:0.550058:0.457500:0.542585:0.457500:0.000000
Una de las aplicaciones :@0.078581:0.508412:0.237017:0.508412:0.237017:0.493472:0.078581:0.493472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los sistemas de :@0.078581:0.523541:0.203079:0.523541:0.203079:0.508601:0.078581:0.508601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones lineales es en :@0.078581:0.538670:0.249568:0.538670:0.249568:0.523730:0.078581:0.523730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el balanceo de reacciones :@0.078581:0.553799:0.254670:0.553799:0.254670:0.538859:0.078581:0.538859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
químicas, que consiste :@0.078581:0.568928:0.232832:0.568928:0.232832:0.553988:0.078581:0.553988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en determinar el número :@0.078581:0.584057:0.249481:0.584057:0.249481:0.569117:0.078581:0.569117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entero de moléculas :@0.078581:0.599185:0.218727:0.599185:0.218727:0.584246:0.078581:0.584246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que intervienen en :@0.078581:0.614314:0.209053:0.614314:0.209053:0.599375:0.078581:0.599375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una reacción química, :@0.078581:0.629443:0.228416:0.629443:0.228416:0.614504:0.078581:0.614504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuidando siempre que :@0.078581:0.644572:0.232832:0.644572:0.232832:0.629632:0.078581:0.629632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el número de átomos de :@0.078581:0.659701:0.246755:0.659701:0.246755:0.644761:0.078581:0.644761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada sustancia se preserve.:@0.078581:0.674830:0.257563:0.674830:0.257563:0.659890:0.078581:0.659890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.078581:0.443800:0.244955:0.443800:0.244955:0.426853:0.078581:0.426853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y :@0.078581:0.460442:0.180782:0.460442:0.180782:0.444008:0.078581:0.444008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
química:@0.078581:0.477084:0.137226:0.477084:0.137226:0.460650:0.078581:0.460650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribe :@0.082576:0.802038:0.135840:0.802038:0.135840:0.786884:0.082576:0.786884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otra de las :@0.135838:0.802038:0.208045:0.802038:0.208045:0.787098:0.135838:0.787098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicaciones de los :@0.082574:0.817167:0.211609:0.817167:0.211609:0.802227:0.082574:0.802227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistemas de ecuaciones :@0.082574:0.832296:0.242751:0.832296:0.242751:0.817356:0.082574:0.817356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineales.:@0.082574:0.847425:0.134933:0.847425:0.134933:0.832485:0.082574:0.832485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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