Answer
$x=-2; y=5$
Work Step by Step
Multiply the second equation by $-1$, and then add the new equation to equation $2$.
$-x+3y-4x-3y=17-7 $
This yields $x=-2$
Now, we will plug the value of $x$ into the second equation to get the value of $y$.
$-4(-2)-3y=-7 \\ \implies y=5$
Thus, $x=-2; y=5$