#### Answer

One common solution $\Rightarrow$ $(2,-1)$

#### Work Step by Step

We use the addition method below:
We add the 2 equations:
$2x+5y=-1$
$3x-2y=+8$
Multiply the first equation by $3$ and the second equation by $-2$ to cancel $x$:
$+6x+15y=-3$
$\underline{-6x+4y=-16}$
$19y=-19$
Solve for $y$:
$y=\frac{-19}{19}=-1$
Substitute into any of the two equations and solve for $x$:
$2x+5y=-1$
$2x+5(-1)=-1$
$2x-5=-1$
$2x=-1+5$
$2x=4$
$x=\frac{4}{2}$
$x=2$