# How do you solve the following system: 3x+2y =0, -5x − y = 14 ?

Jun 4, 2018

$x = - 4$

$y = 6$

#### Explanation:

$\left\{\begin{matrix}3 x + 2 y = 0 \\ - 5 x - y = 14\end{matrix}\right.$

Do

$3 x + 2 y = 0$
$2 \left(- 5 x - y = 14\right)$

$3 x + 2 y = 0$
$- 10 x - 2 y = 28$

$- 7 x = 28$

So

$x = \frac{28}{-} 7$

$x = - 4$

Use $x = - 4$ in the first equation

$3 \left(- 4\right) + 2 y = 0$

$- 12 + 2 y = 0$

$2 y = 12$

$y = \frac{12}{2} = 6$