Answer
See below
Work Step by Step
Given: $2x-4y=13\\4x-5y=8$
Multiply both sides of the first equation by $-2$:
$-4x+8y=-26$
Add it to the first equation:
$3y=-18\\
\rightarrow x=-6$
Find y: $2(-6)-4y=13\\
\rightarrow y=-\frac{11}{2}$