Answer
$x=-6$ and $y=-2$
Work Step by Step
$3x-4y=-10$ $/\times(-2)$ to get rid of the $x$
$6x+3y=-42$
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$-6x+8y=20$
$6x+3y=-42$
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$11y=-22$
$y=\frac{-22}{11}$
$y=-2$
when $y=-2$...
$3x-4(-2)=-10$
$3x+8=-10$
$3x=-18$
$x=-6$