Answer
The solution is $(-5,-2)$.
Work Step by Step
Given:
$4x-5y=-10$
$2x-7y=4$
From the graph, the lines appear to intersect at $(-5 -2)$.
Check:
$4x-5y=-10$
$4(-5)-5(-2)=-10$
$-10=-10$
$2x-7y=4$
$2(-5)-7(-2)=4$
$4=4$
The solution is $(-5,-2)$.