Answer
$x=3$
$y=-1$
Work Step by Step
If we multiply the second equation by $5$, then we add the two equations, we can eliminate the $y$ from the system:
$2x-5y=11$
$3\times5x+5y=8\times5$
$2x+15x=51$
$x=3$
$2(3)-5y=11$
$y=-1$
We have to check, if the solution is right. Substitute $x$ with 3 and $y$ with -1:
$2(3)-5(-1)=11$ $\checkmark$
$3(3)+(-1)=8$ $\checkmark$