### Home > AC > Chapter 8 > Lesson 8.1.3 > Problem8-30

8-30.

Examine the two equations below. Where do they intersect?

$y = 4x − 3$
$y = 9x − 13$

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

$4x − 3 = 9x − 13$
$10=5x$
$2=x$

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 $(2,5)$.