### Home > CAAC > Chapter 8 > Lesson 8.1.3 > Problem 8-30

8-30.

Examine the two equations below. Where do they intersect? Homework Help ✎

*y* = 4*x* − 3

*y* = 9*x* − 13

One strategy is to set the equations equal to each other to solve for *x*.

4*x* − 3 = 9*x* − 13

10 = 5*x*

2 = *x*

Now substitute *x* back into one of the original equations to solve for *y*.

*y* = 4(2) − 3*y* = 8 − 3*y* = 5

The two lines intersect at (2, 5).