[tex]2x+4y=22 \\
2x-2y=-8 \ \ \ |\times (-1) \\ \\
2x+4y=22 \\
\underline{-2x+2y=8} \\
2x-2x+4y+2y=22+8 \\
6y=30 \ \ \ |\div 6 \\
y=5 \\ \\
2x-2y=-8 \\
2x-2 \times 5=-8 \\
2x-10=-8 \ \ \ |+10 \\
2x=2 \ \ \ |\div 2 \\
x=1 \\ \\
\boxed{(x,y)=(1,5)}[/tex]
