[tex]\begin{gathered} (2x+y=2)\times2 \\ -3x-2y=-8 \\ 4x+2y=4 \\ -3x-2y=-8 \\ \text{subtract above two equations} \\ x=-4 \\ \text{put the value of x in equation 1st then get y} \\ 4(-4)+2y=4 \\ -16+2y=4 \\ 2y=20 \\ y=10 \\ (x,y)=(-4,10) \end{gathered}[/tex]