# How do you solve the system of equations -3x - 2y = 0 and 9x + 5y = - 6?

Mar 5, 2018

$y = 6$
$x = - 4$

#### Explanation:

$- 3 x - 2 y = 0$
$9 x + 5 y = - 6$

$- 2 y = 3 x$
$9 x = - 5 y - 6$

$y = - 3 \frac{x}{2}$
$9 x = 15 \frac{x}{2} - 6$

$y = - 3 \frac{x}{2}$
$18 x = 15 x - 12$

$y = - 3 \frac{x}{2}$
$3 x = - 12$

$y = \frac{12}{2}$
$x = - 4$

$y = 6$
$x = - 4$