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\(\left\{\begin{matrix}-4x+y=-42\\-2x=6y+44\end{matrix}\right.\)

\(\left\{\begin{matrix}-4x+y=-42\\-2x=6y+44\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}-4x+y=-42\\-2x-6y=44\end{matrix}\right.\text{(Niet verplichte stap, proper schrijven)}\\ \Leftrightarrow \left\{\begin{matrix}y=4x-42\\ -2x-6y=44\end{matrix}\right.\text{(Afzonderen onbekende met coëff. 1)}\\ \Leftrightarrow \left\{\begin{matrix}y=4x-42\\ -2x-6\left(4x-42\right)=44\end{matrix}\right.\text{(Substitutie!)}\\ \Leftrightarrow \left\{\begin{matrix}y=4x-42\\ -2x-24x+252=44\end{matrix}\right.\text{(Distributie)}\\ \Leftrightarrow \left\{\begin{matrix}y=4x-42\\ -26x=44-252=-208\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}y=4x-42\\ x=\frac{-208}{-26}=8\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}y=4.(8)-42=-10\\ x=8\end{matrix}\right.\\ \qquad V=\{(8,-10)\}\)