Answer
$\{(-1,2)\}$
Work Step by Step
We are given the system of equations:
$\begin{cases}
x+3y=5\\
2x-3y=-8
\end{cases}$
Use the elimination method. Add the two equations to eliminate $y$ and determine $x$:
$x+3y+2x-3y=5-8$
$3x=-3$
$x=-1$
Determine $y$:
$x+3y=5$
$-1+3y=5$
$3y=6$
$y=2$
The solution set of the system is:
$\{(-1,2)\}$
