# How do you solve 15x + 12y = -12 and 5x + 4y = -4?

May 21, 2017

There are infinite solutions. They are all the points on the line $5 x + 4 y = - 4$.

#### Explanation:

Divide the first equation by 3.

$\frac{15}{3} x + \frac{12}{3} y = - \frac{12}{3}$

$5 x + 4 y = - 4$

Therefore, the two lines are the same. This means the solution set is the line $5 x + 4 y = - 4$.