The given system of linear equations is
x - y = -2 .......(1)
-4x + 4y = 8 ......(2)
The equation x-y=-2 can be rearranged as,
[tex]x=y-2[/tex]Substitute x=y-2 in equation (2).
[tex]\begin{gathered} -4(y-2)+4y=8 \\ -4y-4\times(-2)+4y=8 \\ -4y+8+4y=8 \\ 8=8 \end{gathered}[/tex]Since 8=8 is a true statement, the system has infinite number of solutions.
