Answer
$x=-8$
$y=4$
Work Step by Step
If we add the two equations, we can eliminate the $y$ from the system:
$\frac{1}{2}x-\frac{1}{4}y=-5$
$\frac{1}{8}x+\frac{1}{4}y=0$
$\frac{5}{8}x=-5$
$x=-8$
$\frac{1}{8}(-8)+\frac{1}{4}y=0$
$y=4$
We have to check, if the solution is right. Substitute $x$ with -8 and $y$ with 4:
$\frac{1}{2}(-8)-\frac{1}{4}(4)=-5$ $\checkmark$
$\frac{1}{8}(-8)+frac{1}{4}(4)=0$ $\checkmark$