#### Answer

$x=-3$
$y=2$

#### Work Step by Step

If we add the two equations, we can eliminate the $y$ from the system:
$3x+y=-7$
$x-y=-5$
$3x+x=-12$
$x=-3$
$3(-3)+y=-7$
$y=2$
We have to check, if the solution is right. Substitute $x$ with -3 and $y$ with 3:
$3(-3)+2=7$ $\checkmark$
$-3-2=-5$ $\checkmark$