Answer
$x=7$
$y=\frac{1}{2}$
Work Step by Step
$2x+6y=17$
$2x-10y=9$ $/\times(-1)$
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$2x+6y=17$
$-2x+10y=-9$
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$16y=8$
$y=\frac{1}{2}$
when $y=\frac{1}{2}$...
$2x+6(\frac{1}{2})=17$
$2x+3=17$
$2x=14$
$x=7$