The equations are
[tex]\begin{gathered} y=5x+2--i \\ 10x-2y=12--ii \end{gathered}[/tex]Substitute equation i into ii, we have
[tex]\begin{gathered} 10x-2(5x+2)=12 \\ 10x-10x-4=12 \\ -4=12 \end{gathered}[/tex]This is not possible, so the system of equations has no solution.
