Question

Metodo de sustitucion
2x + 3y = -1
3x + 4y = 0

Answer 1

Respuesta:

x=4 y=-3

Explicación paso a paso:

$3x + 4y = 0 \\ 3x = 0 - 4y \\ 3x = - 4y \\ x = - \frac{ - 4y}{3 } \\ \\ \\ 2x + 3y = - 1 \\ 2 \times \frac{ - 4y}{3} + 3y = - 1 \\ \frac{ - 8y}{3} + \frac{9y}{3} = - 1$

$\frac{y}{3} = - 1 \\ y = - 1 \times 3 = - 3$

$2x + 3y = - 1 \\ 2x + 3 \times ( - 3) = - 1 \\ 2x - 9 = - 1 \\ 2x = - 1 + 9 \\ 2x = 8 \\ x = \frac{8}{2} = 4$