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).