Answer
$x=5$ and $y=-2$
Work Step by Step
$3x+5y=5$ $/\times(3)$
$2x-3y=16$ $/\times(5)$
__________________
$9x+15y=15$
$10x-15y=80$
__________________
$19x=95$
$x=\frac{95}{15}$
$x=5$
For $x=5$...
$3(5)+5y=5$
$5y=-10$
$y=-\frac{10}{5}$
$y=-2$