### Home > AC > Chapter 7 > Lesson 7.2.3 > Problem7-73

7-73.

Find the point of intersection of the lines $3 = 6x − y$ and $3x − 2y = 24$.

One strategy to solve this problem is to solve it as a system of equations.
$3x − 2y = 24\\ 6x − y = 3$

Multiply the bottom equation by $−2$ to cancel out the $y\text{'s}$.

\begin{aligned}\underline{3x − 2y = 24\\−12x + 2y = −6}\end{aligned}\\-9x\:\:\:\:\:\:\:\:\:\:\:\:= 18

Solve for $x$, then substitute the value back into one of the original equations to solve for $y$.