Answer
$(3,5)$
Work Step by Step
First we have to rearrange the equations by putting y on the left and everything else on the right.
$y=8-x$
$y=4x-7$
Set the equations equal to each other and solve for x to find the x value for the point of intersection.
$8-x=4x-7$
Add 7 on both sides.
$15-x=4x$
Add x on both sides and then divide by 5.
$x=3$
Now plug this x value on any original equation to find the y value for the point of intersection.
$3+y=8$
$y=5$
So the point of intersection is (3, 5).
