Answer
$x = -2$
$y = -2$
Work Step by Step
$2x + 4y = -12$
$-6x + 5y = 2$
To use elimination, we need to make one of the variables the same in each equation:
$6x + 12y = -36$
$-6x + 5y = 2$
Add the two equations together:
$17y = -34$
Divide each side by $17$ to solve for $y$:
$y = -2$
Now that we have the value for $y$, we can plug it into one of the equations to solve for $x$:
$2x + 4(-2) = -12$
Multiply first:
$2x - 8 = -12$
Add $8$ to each side of the equation:
$2x = -4$
Divide each side of the equation by $2$:
$x = -2$
