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Solve the system of linear equations, x - y = -2, -4x + 4y = 8

User JanPl
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The given system of linear equations is

x - y = -2 .......(1)

-4x + 4y = 8​ ......(2)

The equation x-y=-2 can be rearranged as,


x=y-2

Substitute x=y-2 in equation (2).


\begin{gathered} -4(y-2)+4y=8 \\ -4y-4*(-2)+4y=8 \\ -4y+8+4y=8 \\ 8=8 \end{gathered}

Since 8=8 is a true statement, the system has infinite number of solutions.

User Marcorossi
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