ANSWER
No solution.
EXPLANATION
We want to solve the system of equations:
[tex]\begin{gathered} 2y=-4x+12 \\ y=-2x+4 \end{gathered}[/tex]To do this, substitute the value of y in the second equaiton into the first equation:
[tex]\begin{gathered} \Rightarrow2(-2x+4)=-4x+12 \\ -4x+8=-4x+12 \end{gathered}[/tex]Collect like terms:
[tex]\begin{gathered} -4x+4x=12-8 \\ 0=4 \end{gathered}[/tex]As we can see, we have that 0 is equal to 4.
This shows that the system of equations has no solution.
