Answer
$x = -3$
Work Step by Step
First, we want to change the equations such that one of the variables in both equations can be eliminated. We modify the equations by multiplying the first equation by $2$:
$6x + 2y = -14$
We can now set up the system of equations to eliminate one variable:
$6x + 2y = -14$
$2x - 2y = -10$
Combine by adding the two equations together:
$8x = -24$
Divide both sides by $8$:
$x = -3$
