Answer
$\{(3,-1)\}$
Work Step by Step
We are given the system of equations:
$\begin{cases}
-2x+y=-7\\
4x+3y=9
\end{cases}$
Use the substitution method:
$\begin{cases}
y=2x-7\\
4x+3y=9
\end{cases}$
Substitute the expression of $y$ from the first equation into the second to find $x$:
$4x+3(2x-7)=9$
$4x+6x-21=9$
$10x=30$
$x=3$
Determine $y$:
$y=2(3)-7$
$y=-1$
The solution set is:
$\{(3,-1)\}$
