Answer
$x=76$ and $y=-45$
Work Step by Step
$2x+3y=17$ $/\times(-5)$ to get rid of the $x$
$5x+8y=20$ $/\times(2)$ to get rid of the $x$
_________________
$-10x-15y=-85$
$10x+16y=40$
_________________
$y=-45$
when $y=-45$...
$2x+3(-45)=17$
$2x-135=17$
$2x=152$
$x=\frac{152}{2}$
$x=76$