Answer
$x=-3$ and $y=7$
Work Step by Step
$3x+2y=5$ $/\times(2)$
$-2x+3y=27$ $/\times(3)$
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$6x+4y=10$
$-6x+9y=81$
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$13y=91$
$y=\frac{91}{13}$
$y=7$
For $y=7$...
$3x+2\times(7)=5$
$3x=-9$
$x=-\frac{9}{3}$
$x=-3$