Answer
$x=-5$
$y=\frac{-10}{3}$
Work Step by Step
The second equation is already solved for $x$, we have to substitute this expression into the first equation:
$\frac{3}{2}y=3y+5$
$3y=6y+10$
$-10=3y$
$\frac{-10}{3}=y$
$x=\frac{3}{2}y=\frac{3}{2}\times\frac{-10}{3}=-5$
We need to check, if it is the right solution, we substitute x with $-5$ and y with $\frac{3}{2}$:
$-5=3\frac{-10}{3}+5$ $\checkmark$
$-5=\frac{3}{2}\times\frac{-10}{3}$ $\checkmark$