# How do you solve the following system: 9x - 3y = -30, 4x + 2y = 0 ?

Mar 9, 2018

#### Answer:

Arrange the equations. Get $x = - 2$ and $y = 4$

#### Explanation:

Expand the first equation with 2 and the second equation with 3:

$18 x - 6 y = - 60$
$12 x + 6 y = 0$

Sum these up:

$30 x = - 60$

$x = - 2$

Now you can compute the value of y (I use the second original equation to find the value of y):

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

$2 y = 8$

$y = 4$