Answer
$x=\frac{3}{5}$ and $y=-5$
Work Step by Step
$10x-2y=16$
$5x+3y=-12$ $/\times(-2)$ to get rid of the $x$
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$10x-2y=16$
$-10x-6y=24$
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$-8y=40$
$y=-5$
when $y=-5$...
$10x-2(-5)=16$
$10x+10=16$
$10x=6$
$x=\frac{6}{10}$
$x=\frac{3}{5}$