Answer
$\left\{\left(-\dfrac{23}{4},4\right)\right\}$
Work Step by Step
We are given the system of equations:
$\begin{cases}
4x+5y=-3\\
-2y=-8
\end{cases}$
Determine $y$ from the second equation:
$-2y=-8$
$y=\dfrac{-8}{-2}$
$y=4$
Determine $x$ using the first equation:
$4x+5y=-3$
$4x+5(4)=-3$
$4x+20=-3$
$4x=-23$
$x=-\dfrac{23}{4}$
The solution set of the system is:
$\left\{\left(-\dfrac{23}{4},4\right)\right\}$
