Answer
$x=7$ and $y=3$
Work Step by Step
$4x-5y=13$ $/\times(-3)$ to get rid of the $x$
$6x+2y=48$ $/\times(2)$ to get rid of the $x$
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$-12x+15y=-39$
$12x+4y=96$
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$19y=57$
$y=\frac{57}{19}$
$y=3$
when $y=3$...
$6x+2(3)=48$
$6x+6=48$
$6x=42$
$x=\frac{42}{6}$
$x=7$