Answer
$x=4$ and $y=-9$
Work Step by Step
$5x+y=11$ $/\times(-3)$ to get rid of the $y$
$2x+3y=-19$
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$-15x-3y=-33$
$2x+3y=-19$
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$-13x=-52$
$x=\frac{52}{13}$
$x=4$
when $x=4$...
$2(4)+3y=-19$
$8+3y=-19$
$3y=-27$
$y=-\frac{27}{3}$
$y=-9$