#### Answer

$x=1$
$y=4$

#### Work Step by Step

$2x-5y=-18\rightarrow$ Multiply by 3.
$3x+4y=19\rightarrow$ Multiply by -2.
$6x-15y=-54$
$-6x-8y=-38 \rightarrow$ Add the equations to eliminate x.
$-23y=-92$
$y=4$
Substitute for y and solve for x.
$2x=-18+20$
$x=1$