Question

método de igualación

1) 7m –n = 10
2) 6n – 3m = 2

Answer 1

Explicación paso a paso:

$7m - n = 10 \\ 6n - 3m = 2 \\ 7m = 10 + n \\ m = \frac{10 + n}{7} \\ - 3m = 2 - 6n \\ m = \frac{2 - 6n}{ - 3} \\ m = \frac{6n - 2}{3} \\ \frac{10 + n}{7} = \frac{6n - 2}{3} \\ 3(10 + n) = 7(6n - 2) \\ \\ 30 + 3n = 42n - 14 \\ 30 + 14 = 42n - 3n \\ 44n = 39 \\ n = \frac{39}{44} \\ m = \frac{6n - 2}{3} \\ m = \frac{6( \frac{33}{4} ) - 2}{3} \\ m = \frac{ \frac{99}{2} - 2}{3} \\ m = \frac{ \frac{99 - 4}{2} }{3} \\ m = \frac{ \frac{95}{2} }{3} \\ m = \frac{95}{6}$