Answer
$\{(1.5,3)\}$
Work Step by Step
We are given the system of equations:
$\begin{cases}
2x-y=0\\
4x+2y=12
\end{cases}$
Use the elimination method. Multiply the second equation by 0.5 and add it to the second equation to eliminate $y$ and determine $x$:
$\begin{cases}
2x-y=0\\
0.5(4x+2y)=0.5(12)
\end{cases}$
$\begin{cases}
2x-y=0\\
2x+y=6
\end{cases}$
$2x-y+2x+y=0+6$
$4x=6$
$x=1.5$
Determine $y$ using the first equation:
$2x-y=0$
$2(1.5)-y=0$
$3-y=0$
$y=3$
The solution set of the system is:
$\{(1.5,3)\}$
