7m + 4n = 13 (1)
5m - 2n = 19 (2)
En 2
5m - 2n = 19
5m - 19 = 2n
n = (5m - 19)/2
Ahora reemplazo en (1)
7m + 4n = 13
7m + 4[(5m - 19)/2] = 13
7m + 2(5m - 19) = 13
7m + 10m - 38 = 13
17m = 13 + 38
17m = 51
m = 51/17
m = 3
Ahora:
n = (5(3) -19)/2
n = (15 - 19)/2
n = (-4)/2
n = -2
Rta: m = 3; n = -2
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7m + 4n = 13 (1)
5m - 2n = 19 (2)
En 2
5m - 2n = 19
5m - 19 = 2n
n = (5m - 19)/2
Ahora reemplazo en (1)
7m + 4n = 13
7m + 4[(5m - 19)/2] = 13
7m + 2(5m - 19) = 13
7m + 10m - 38 = 13
17m = 13 + 38
17m = 51
m = 51/17
m = 3
Ahora:
n = (5m - 19)/2
n = (5(3) -19)/2
n = (15 - 19)/2
n = (-4)/2
n = -2
Rta: m = 3; n = -2