Question

Metodo de igualacion

2x+3y=2
6x+5y=14

Answer 1

Hola!

Despejando cada ecuacion:

$2x + 3y = 2 \\ 2x =2 - 3y \\ x = \frac{2 - 3y}{2}$

$6x + 5y = 14 \\ 6x = 14 - 5y \\ x = \frac{14 - 5y}{6}$

Igualando:

$\\ \frac{2 - 3y}{2} = \frac{14 - 5y}{6} \\ 3(2 - 3y) = 14 - 5y \\ 6 - 14 = 9y - 5y \\ - 8 = 4y \\ - 2 = y$

Hallando "x" sabiend que "y" = -2:

$2x + 3y = 2 \\ 2x + 3( - 2) = 2 \\ 2x = 2 + 6 \\ x = 4$