Answer
$x=-2; y=2$
Work Step by Step
Multiply the first equation by $2$, then add it to equation $2$.
$2x+2y-2x+3y=0+10 \implies y=2$
Now, we will plug the value of $y$ into the first equation to find the value of $x$.
We get:
$x+2=0 \implies x=-2$
Thus, $x=-2; y=2$