Answer
$x=-2$
$y=1$
Work Step by Step
If we add the two equations, we can eliminate the $x$ from the system:
$6x+5y=-7$
$-6x-11y=1$
$5y-11y=-6$
$y=1$
$6x+5(1)=-7$
$x=-2$
We have to check, if the solution is right. Substitute $x$ with -2 and $y$ with 1:
$6(-2)+5(1)=-7$ $\checkmark$
$-6(-2)-11(1)=1$ $\checkmark$