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\(\left\{\begin{matrix}-4x+y=-4\\4x-2y=0\end{matrix}\right.\)

\(\left\{\begin{matrix}-4x+y=-4\\4x-2y=0\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}y=4x-4\\ 4x-2y=0\end{matrix}\right.\text{(Afzonderen onbekende met coëff. 1)}\\ \Leftrightarrow \left\{\begin{matrix}y=4x-4\\ 4x-2\left(4x-4\right)=0\end{matrix}\right.\text{(Substitutie!)}\\ \Leftrightarrow \left\{\begin{matrix}y=4x-4\\ 4x-8x+8=0\end{matrix}\right.\text{(Distributie)}\\ \Leftrightarrow \left\{\begin{matrix}y=4x-4\\ -4x=0-8=-8\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}y=4x-4\\ x=\frac{-8}{-4}=2\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}y=4.(2)-4=4\\ x=2\end{matrix}\right.\\ \qquad V=\{(2,4)\}\)