The given system of equations are,
[tex]\begin{gathered} y=2x+2 \\ y=3x \end{gathered}[/tex]Equating both equation implies,
[tex]\begin{gathered} 2x+2=3x \\ x=2 \end{gathered}[/tex]Put 2 for x in the equation y=2x+2 implies,
[tex]\begin{gathered} y=(2\times2)+2 \\ y=6 \end{gathered}[/tex]The solutions are x=2 , y=6.