Question

Encuentra el valor de "m" y "n" del siguiente sistema de ecuaciones: Ecuación 1: 3m+2n= 6.5 Ecuación 2: 3m+ n= 8

Answer 1

Respuesta:

$\frac{1}{3m} + 2n = 6\times5 \\ \frac{2}{3m} + n = 8 \\ \frac{1 + 6mn}{3m} = 30 \\ \frac{2 + 3mn}{3m} = 8 \\ 1 + 6mn = 3m \times 30 \\ 1 + 6mn = 90m \\ 2 + 3mn = 3m \times 8 \\ 2 + 3mn = 24m \\ 6mn = 90m - 1 \\ mn = \frac{90m - 1}{6} \\ 3mn = 24m - 2 \\ mn = \frac{24m - 2}{3 } \\ \frac{90m - 1}{6}= \frac{24m - 2}{3 } \\ 3(90m - 1) = 6(24m - 2) \\ 270m - 3 = 144m - 12 \\ - 3 + 12 = 144m - 270m \\ 9 = -126m \\ m = \frac{9}{-126} \\ m = -0.07 \\ n = 8 - \frac{2}{3(-0.07)} \\ n = 8 + \frac{2}{0.21} \\ n = 8 +9.52 \\ n = 17.52$