Answer
$(-1,1)$
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.
As we are given that $-4x-12y=-8$ and $4x+5y=1$
This implies $y=1$
$4x+5y=1$
or, $4x+5(1)=1$
or, $4x=1-5 \implies 4x=-4$
or, $x=-1$
Hence, the desired result is: $(-1,1)$