﻿140:@0.024814:0.963884:0.056738:0.963884:0.056738:0.945447:0.024814:0.945447:0.000000:0.000000:0.000000
M.4.1.54.:@0.096359:0.948145:0.142269:0.948145:0.142269:0.937390:0.096359:0.937390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Reconocer la intersección de dos rectas como la solución gráfica de un sistema de dos ecuaciones lineales con dos incógnitas.:@0.142269:0.948145:0.732841:0.948145:0.732841:0.938174:0.142269:0.938174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución de un sistema de ecuaciones lineales:@0.304744:0.480694:0.780540:0.480694:0.780540:0.458885:0.304744:0.458885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.304744:0.503475:0.314510:0.503475:0.314510:0.486339:0.304744:0.486339:0.000000:0.000000
Analizamos el sistema de ecuaciones planteado para el problema. Este sistema :@0.328478:0.503475:0.907110:0.503475:0.907110:0.487805:0.328478:0.487805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
consta de dos ecuaciones con dos incógnitas.:@0.328478:0.520071:0.663948:0.520071:0.663948:0.504401:0.328478:0.504401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.425371:0.543790:0.432834:0.543790:0.432834:0.527429:0.425371:0.527429:0.000000
 +   = 10:@0.432834:0.543790:0.496410:0.543790:0.496410:0.528120:0.432834:0.528120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.451888:0.543790:0.459370:0.543790:0.459370:0.527429:0.451888:0.527429:0.000000
2  + 4  = 32:@0.425371:0.567509:0.514395:0.567509:0.514395:0.551839:0.425371:0.551839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.434364:0.567509:0.441827:0.567509:0.441827:0.551148:0.434364:0.551148:0.000000
y:@0.469874:0.567509:0.477355:0.567509:0.477355:0.551148:0.469874:0.551148:0.000000
• :@0.304744:0.591228:0.314510:0.591228:0.314510:0.574092:0.304744:0.574092:0.000000:0.000000
Verificamos si el par ordenado (2, 6) es solución del sistema. Para ello, sustituimos :@0.328478:0.591228:0.907160:0.591228:0.907160:0.575558:0.328478:0.575558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estos valores en cada ecuación del sistema::@0.328478:0.607825:0.636974:0.607825:0.636974:0.592155:0.328478:0.592155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 + 6 ≠ 10  y  2 . 2 + 4 . 6 ≠ 28;  (2, 6) no es solución del sistema.:@0.328478:0.631544:0.780941:0.631544:0.780941:0.615874:0.328478:0.615874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.304744:0.655263:0.314510:0.655263:0.314510:0.638127:0.304744:0.638127:0.000000:0.000000
Buscamos otro par ordenado (4, 6) y verificamos.:@0.328478:0.655263:0.675045:0.655263:0.675045:0.639593:0.328478:0.639593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.304744:0.678982:0.308779:0.678982:0.308779:0.663312:0.304744:0.663312:0.000000
4 + 6 = 10  y  2 . 4 + 4 . 6 = 32;  (4, 6) sí es solución del sistema porque satisface :@0.328478:0.678982:0.907106:0.678982:0.907106:0.663312:0.328478:0.663312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a todas las ecuaciones.:@0.328478:0.695578:0.490568:0.695578:0.490568:0.679908:0.328478:0.679908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.304744:0.787736:0.362104:0.787736:0.362104:0.772623:0.304744:0.772623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.304744:0.811774:0.314510:0.811774:0.314510:0.794638:0.304744:0.794638:0.000000:0.000000
La suma de dos números es 5, el doble del primero más el segundo es igual a 9. :@0.328478:0.811774:0.907034:0.811774:0.907034:0.796104:0.328478:0.796104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuáles son los números?:@0.328478:0.828370:0.515607:0.828370:0.515607:0.812701:0.328478:0.812701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.304744:0.848535:0.308779:0.848535:0.308779:0.832865:0.304744:0.832865:0.000000
Planteamos el sistema de ecuaciones.          +   = 5:@0.328478:0.848535:0.696571:0.848535:0.696571:0.832865:0.328478:0.832865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.634525:0.848535:0.641988:0.848535:0.641988:0.832174:0.634525:0.832174:0.000000
y:@0.661042:0.848535:0.668524:0.848535:0.668524:0.832174:0.661042:0.832174:0.000000
 :@0.304725:0.872254:0.308761:0.872254:0.308761:0.856584:0.304725:0.856584:0.000000
 :@0.328469:0.872254:0.332505:0.872254:0.332505:0.856584:0.328469:0.856584:0.000000
 :@0.365033:0.872254:0.369069:0.872254:0.369069:0.856584:0.365033:0.856584:0.000000
 :@0.425343:0.872254:0.429379:0.872254:0.429379:0.856584:0.425343:0.856584:0.000000
 :@0.485651:0.872254:0.489687:0.872254:0.489687:0.856584:0.485651:0.856584:0.000000
 :@0.545960:0.872254:0.549995:0.872254:0.549995:0.856584:0.545960:0.856584:0.000000
       2  +  = 9:@0.606275:0.872254:0.704845:0.872254:0.704845:0.856584:0.606275:0.856584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y:@0.643517:0.872254:0.676798:0.872254:0.676798:0.855893:0.643517:0.855893:0.000000:0.000000:0.000000:0.000000
 :@0.304725:0.892418:0.308761:0.892418:0.308761:0.876749:0.304725:0.876749:0.000000
Probamos con varias parejas de números::@0.328460:0.892418:0.631757:0.892418:0.631757:0.876749:0.328460:0.876749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.304725:0.912583:0.308761:0.912583:0.308761:0.896913:0.304725:0.896913:0.000000
(3, 2) :@0.328460:0.912583:0.367490:0.912583:0.367490:0.896913:0.328460:0.896913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→ :@0.367490:0.913261:0.390285:0.913261:0.390285:0.897688:0.367490:0.897688:0.000000:0.000000
3 + 2 = 5  y  2 . 3 + 2 ≠ 9; no satisface el sistema.:@0.390285:0.912583:0.734544:0.912583:0.734544:0.896913:0.390285:0.896913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.304725:0.932748:0.308761:0.932748:0.308761:0.917078:0.304725:0.917078:0.000000
(4, 1) :@0.328460:0.932748:0.367490:0.932748:0.367490:0.917078:0.328460:0.917078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→  :@0.367490:0.933425:0.394892:0.933425:0.394892:0.917852:0.367490:0.917852:0.000000:0.000000:0.000000
4 + 1 = 5  y  2 . 4 + 1 = 9; sí satisface el sistema.:@0.394892:0.932748:0.730195:0.932748:0.730195:0.917078:0.394892:0.917078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistemas de ecuaciones lineales:@0.305303:0.084620:0.762945:0.084620:0.762945:0.053892:0.305303:0.053892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 2:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un :@0.319266:0.223090:0.344715:0.223090:0.344715:0.207421:0.319266:0.207421:0.000000:0.000000:0.000000
sistema:@0.344918:0.223090:0.405858:0.223090:0.405858:0.206190:0.344918:0.206190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de :@0.405858:0.223090:0.433094:0.223090:0.433094:0.207421:0.405858:0.207421:0.000000:0.000000:0.000000:0.000000
ecuaciones lineales:@0.433297:0.223090:0.586854:0.223090:0.586854:0.206190:0.433297:0.206190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 o sistema lineal es un conjunto de ecua-:@0.586854:0.223090:0.887114:0.223090:0.887114:0.207421:0.586854:0.207421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones de primer grado que deben verificarse simultáneamente. :@0.315913:0.239687:0.789442:0.239687:0.789442:0.224017:0.315913:0.224017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el estacionamiento de un colegio, en total, hay 10 vehículos entre bicicletas  :@0.304744:0.280740:0.907125:0.280740:0.907125:0.265070:0.304744:0.265070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y automóviles. El total de ruedas que se contabilizaron es de 32. ¿Cómo escribes :@0.304744:0.297337:0.907198:0.297337:0.907198:0.281667:0.304744:0.281667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esta información con ecuaciones? :@0.304744:0.313933:0.557403:0.313933:0.557403:0.298263:0.304744:0.298263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Traducimos del lenguaje cotidiano al lenguaje matemático::@0.304744:0.337652:0.738635:0.337652:0.738635:0.321982:0.304744:0.321982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.304744:0.361371:0.312207:0.361371:0.312207:0.345010:0.304744:0.345010:0.000000
: representa el número de bicicletas       : representa el número de automóviles:@0.312760:0.361371:0.889913:0.361371:0.889913:0.345701:0.312760:0.345701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.597797:0.361371:0.605278:0.361371:0.605278:0.345010:0.597797:0.345010:0.000000
Hallar la :@0.319826:0.728562:0.382093:0.728562:0.382093:0.712892:0.319826:0.712892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solución:@0.382406:0.728562:0.449630:0.728562:0.449630:0.711661:0.382406:0.711661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de un :@0.449630:0.728562:0.501025:0.728562:0.501025:0.712892:0.449630:0.712892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema:@0.501357:0.728562:0.562297:0.728562:0.562297:0.711661:0.501357:0.711661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de :@0.562297:0.728562:0.589662:0.728562:0.589662:0.712892:0.562297:0.712892:0.000000:0.000000:0.000000:0.000000
ecuaciones lineales:@0.589957:0.728562:0.743625:0.728562:0.743625:0.711661:0.589957:0.711661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 consiste en encon-:@0.743625:0.728562:0.887764:0.728562:0.887764:0.712892:0.743625:0.712892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trar una solución común a todas las ecuaciones del sistema.:@0.316472:0.745158:0.753329:0.745158:0.753329:0.729489:0.316472:0.729489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Total de vehículos 10:@0.330378:0.401021:0.484009:0.401021:0.484009:0.385351:0.330378:0.385351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Total de ruedas 32:@0.330378:0.438890:0.463979:0.438890:0.463979:0.423220:0.330378:0.423220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Describe:@0.311729:0.173790:0.381349:0.173790:0.381349:0.156890:0.311729:0.156890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. ¿Cómo puedes graficar la ecuación de una recta?:@0.381349:0.173790:0.748295:0.173790:0.748295:0.158121:0.381349:0.158121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.344931:0.139567:0.522686:0.139567:0.522686:0.122666:0.344931:0.122666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 730898263:@0.091447:0.353406:0.091447:0.279440:0.080059:0.279440:0.080059:0.353406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistema de :@0.696504:0.405961:0.780792:0.405961:0.780792:0.390291:0.696504:0.390291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones lineales:@0.696504:0.422557:0.838065:0.422557:0.838065:0.406888:0.696504:0.406888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.565114:0.400318:0.572578:0.400318:0.572578:0.383957:0.565114:0.383957:0.000000
 +   = 10:@0.572578:0.400318:0.636079:0.400318:0.636079:0.384649:0.572578:0.384649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.591595:0.400318:0.599077:0.400318:0.599077:0.383957:0.591595:0.383957:0.000000
2  + 4  = 32:@0.565114:0.438891:0.653106:0.438891:0.653106:0.423221:0.565114:0.423221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.574107:0.438891:0.581570:0.438891:0.581570:0.422530:0.574107:0.422530:0.000000
y:@0.609101:0.438891:0.616583:0.438891:0.616583:0.422530:0.609101:0.422530:0.000000
Matemática y Química:@0.106162:0.454903:0.267251:0.454903:0.267251:0.439539:0.106162:0.439539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una de las aplicaciones :@0.106162:0.469990:0.264774:0.469990:0.264774:0.455745:0.106162:0.455745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los sistemas de :@0.106162:0.485078:0.230798:0.485078:0.230798:0.470833:0.106162:0.470833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones lineales :@0.106162:0.500166:0.238523:0.500166:0.238523:0.485920:0.106162:0.485920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es en el balanceo de :@0.106162:0.515253:0.246396:0.515253:0.246396:0.501008:0.106162:0.501008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reacciones químicas, :@0.106162:0.530341:0.247450:0.530341:0.247450:0.516096:0.106162:0.516096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que consiste en :@0.106162:0.545428:0.214934:0.545428:0.214934:0.531183:0.106162:0.531183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinar el número :@0.106162:0.560516:0.256478:0.560516:0.256478:0.546271:0.106162:0.546271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entero de moléculas :@0.106162:0.575604:0.246463:0.575604:0.246463:0.561358:0.106162:0.561358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que intervienen en :@0.106162:0.590691:0.236779:0.590691:0.236779:0.576446:0.106162:0.576446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una reacción química, :@0.106162:0.605779:0.256163:0.605779:0.256163:0.591534:0.106162:0.591534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuidando siempre que :@0.106162:0.620867:0.260584:0.620867:0.260584:0.606621:0.106162:0.606621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el número de átomos :@0.106162:0.635954:0.253615:0.635954:0.253615:0.621709:0.106162:0.621709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de cada sustancia se :@0.106162:0.651042:0.245978:0.651042:0.245978:0.636797:0.106162:0.636797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
preserve.:@0.106162:0.666129:0.166436:0.666129:0.166436:0.651884:0.106162:0.651884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.126693:0.430392:0.271644:0.430392:0.271644:0.413491:0.126693:0.413491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 1053442553:@0.091447:0.854429:0.091447:0.776781:0.080059:0.776781:0.080059:0.854429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribe :@0.105645:0.874782:0.158968:0.874782:0.158968:0.859669:0.105645:0.859669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otra de las :@0.158968:0.874782:0.231255:0.874782:0.231255:0.860537:0.158968:0.860537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicaciones de los :@0.105645:0.889870:0.234823:0.889870:0.234823:0.875625:0.105645:0.875625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistemas de ecuaciones :@0.105645:0.904957:0.265999:0.904957:0.265999:0.890712:0.105645:0.890712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineales.:@0.105645:0.920045:0.158062:0.920045:0.158062:0.905800:0.105645:0.905800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respuesta abierta.:@0.312843:0.181690:0.397848:0.181690:0.397848:0.171718:0.312843:0.171718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000