Question

9y - 6x = 9
- 8y + 3x = -1
(Igualación)​

Answer 1

Hola!

Respuesta:

$x = - \frac{18}{5} \\ y = - \frac{7}{5}$

Explicación paso a paso:

Despejamos una de las variables:

$9y - 6x = 9 \\ - 6x = 9 - 9y \\ 6x = 9y - 9$

$- 8y + 3x = - 1 \\ 3x = 8y - 1 \\ 2(3x = 8y - 1) \\ 6x = 16y - 2$

Igualamos:

$9y - 9 = 16y - 2 \\ 2 - 9 = 16y - 9y \\ - 7 = 5y \\ - \frac{7}{5} = y$

Sabiendo "y", calculamos "x":

$9y - 6x = 9 \\3y - 2x = 3 \\ 3( - \frac{7}{5} ) - 2x = 3 \\ - \frac{21}{5} - 2x = 3 \\ - \frac{21}{5} - 3 = 2x \\ 2x = - ( \frac{21}{5} + 3) \\ 2x = - ( \frac{36}{5} ) \\ x = - \frac{18}{5}$