Answer
$(-4,5)$
Work Step by Step
To solve the given problem we will have to plug the simplest equation into the other equation and then solve for the other variable.
$4y=-5x $ or $y=\dfrac{-5x}{4}$
Now, $5x+8y=20$
or, $5x+8(\dfrac{-5x}{4})=20$
or, $20=-5x$
or, $x=-4$ and $y=\dfrac{-5x}{4}=5$
Hence, the desired result is $(-4,5)$
