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1) x + 3y = 6 (2)
2) 5x - 2y = 13 (3)
2x + 6y = 12
15x - 6y = 39
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17x + 0y = 51
17x = 51
x = 51/17
x = 3
El valor de x lo reemplazo en ecuación 1.
x + 3y = 6
3 + 3y = 6
3y = 6 - 3
3y = 3
y = 3/3
y = 1
Solución :
x = 3
y = 1
COMPROBAMOS :
x + 3y = 6
3 + 3 (1) = 6
3 + 3 = 6
6 = 6
5x - 2y = 13
5 (3) - 2 (1) = 13
15 - 2 = 13
13 = 13
Listo, la solución es correcta.