# How do you solve the system of equations -3x+4y=-47 and -3x+2y=-19 by combining the equations?

May 1, 2018

$x = - 3 , y = - 14.$

#### Explanation:

By subtracting the two equations we can eliminate x, and thus find our y value.

$- 3 x + 4 y = - 47$
$- \left(- 3 x + 2 y = - 19\right)$

$2 y = - 28$
$y = - 14$

Now apply the y value in either equation. We'll use $- 3 x + 4 y = - 47$.

$- 3 x + \left(4 \cdot - 14\right) = - 47$
$- 3 x - 56 = - 47$
$- 3 x = 9$
$x = - 3$

$x = - 3 , y = - 14.$