Answer
The solution set is $\left\{(6, 2)\right\}$.
Work Step by Step
Solve for $x$ in the second equation to obtain $x=y+4$.
Since $x=y+4$, substitute $y+4$ to $x$ in the first equation to obtain:
$4y=2(y+4)-4 \\ \implies 4y =2y+8-4\\
\implies4y=2y+4\\
\implies 4y-2y=4\\
\\ \implies 2y=4 \\ \implies y=2$
Plug $y=2$ into the second equation then solve for $x$ to obtain:
$x-y=4 \\
\implies x-2=4\\
\implies x=4+2\\
\implies x= 6$
