Answer
Ordered pair solution : $(-2,\frac{3}{4})$
Work Step by Step
(1) $x-4y=-5 $
(2) $-3x-8y=0 $
To eliminate $x$ multiply (1) by $3$
(3) $3x -12y = -15 $
Add (2) and (3)
$-3x +3x -8y-12y = 0-15$
$-20 y = -15$
$y = \frac{-15}{-20}$
$y = \frac{3}{4}$
Substitute $y$ value in Equation (1)
$x-4(\frac{3}{4})=-5 $
$x -3 = -5$
$x = -5+3 $
$x =-2$
Ordered pair solution : $(-2,\frac{3}{4})$