Question

Resolver por método de igualación
4n+3m=8
8m-9n=-17

Answer 1

Respuesta:

$4n + 3m= 8 \\ \\ 3m + 4n = 8 \\ 3m = 8 - 4n \\ m = \frac{8 - 4n}{3} \\ 8m - 9n = - 17 \\ 8m = - 17 + 9n \\ m = \frac{ -1 7 + 9n}{8}$

$\frac{8 - 4n}{3} = \frac{ - 17 + 9n}{8} \\ 64 - 32n = - 51 + 27n \\ 51 + 64 = 27n + 32n \\ 115 = 59n \\ n = \frac{115}{59} \\ \\ \\ m = \frac{8 - 4 \times \frac{115}{59} }{3 } = \frac{8 - \frac{460}{59} }{3} = \\ = \frac{ \frac{472}{59} - \frac{460}{59} }{3} = \frac{ \frac{12}{59} }{3} = \\ = \frac{12}{59} \times \frac{1}{3} = \frac{12}{177} = \frac{4}{59}$

espero te sirva