Substitutie
\(\left\{\begin{matrix}2y=20+6x\\4x-y=-16\end{matrix}\right.\)
\(\left\{\begin{matrix}2y=20+6x\\4x-y=-16\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}-6x+2y=20\\4x-y=-16\end{matrix}\right.\text{(Niet verplichte stap, proper schrijven)}\\ \Leftrightarrow \left\{\begin{matrix}-6x+2y=20\\ 4x+16=y\end{matrix}\right.\text{(Afzonderen onbekende met coëff. 1)}\\ \Leftrightarrow \left\{\begin{matrix}-6x+2\left(4x+16\right)=20\\y=4x+16\end{matrix}\right.\text{(Substitutie!)}\\ \Leftrightarrow \left\{\begin{matrix}-6x+8x+32=20\\y=4x+16\end{matrix}\right.\text{(Distributie)}\\ \Leftrightarrow \left\{\begin{matrix}2x=20-32=-12\\y=4x+16\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}x = \frac{-12}{2} = -6 \\ y=4x+16\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}x = -6 \\ y=4.(-6)+16=-8\end{matrix}\right.\\ \qquad V=\{(-6,-8)\}\)
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