Answer
$x=\frac{3}{8}$
$y=-2$
Work Step by Step
Given:
$8x-2y=7$
$16x+5y=-4$
Multiply both sides of the first equation with $-2$:
$-16x+4y=-14$
$16x+5y=-4$
Using elimination to solve for y:
$-16x+4y=-14$
$16x+5y=-4$
______________________
$9y=-18$
$y=-2$
Solve for x: $8x-2(-2)=7$
$8x=3$
$x=\frac{3}{8}$