Answer
$x=5$ and $y=1$
Work Step by Step
$4x-3y=17$
$2x+5y=15$ $/\times(-2)$
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$4x-3y=17$
$-4x-10y=-30$
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$-13y=-13$
$y=\frac{13}{13}$
$y=1$
For $y=1$...
$4x-3(1)=17$
$4x=20$
$x=\frac{20}{4}$
$x=5$