Answer
$x=-4$ and $y=0$
Work Step by Step
$4x-2y=-16$ $/\times(2)$ to get rid of the $y$
$-3x+4y=12$
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$8x-4y=-32$
$-3x+4y=12$
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$5x=-20$
$x=-\frac{20}{5}=-4$
when $x=-4$...
$-3(-4)+4y=12$
$4y+12=12$
$4y=0$
$y=0$