Answer
$x=-8$ and $y=6$
Work Step by Step
$2x+5y=14$ $/\times(-3)$ to get rid of the $x$
$3x-2y=-36$ $/\times(2)$ to get rid of the $x$
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$-6x-15y=-42$
$6x-4y=-72$
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$-19y=-114$
$y=\frac{114}{19}$
$y=6$
when $y=6$...
$2x+5(6)=14$
$2x+30=14$
$2x=-16$
$x=-8$