Substitutie
\(\left\{\begin{matrix}-3y=32+2x\\-4x-y=14\end{matrix}\right.\)
\(\left\{\begin{matrix}-3y=32+2x\\-4x-y=14\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}-2x-3y=32\\-4x-y=14\end{matrix}\right.\text{(Niet verplichte stap, proper schrijven)}\\ \Leftrightarrow \left\{\begin{matrix}-2x-3y=32\\ -4x-14=y\end{matrix}\right.\text{(Afzonderen onbekende met coëff. 1)}\\ \Leftrightarrow \left\{\begin{matrix}-2x-3\left(-4x-14\right)=32\\y=-4x-14\end{matrix}\right.\text{(Substitutie!)}\\ \Leftrightarrow \left\{\begin{matrix}-2x+12x+42=32\\y=-4x-14\end{matrix}\right.\text{(Distributie)}\\ \Leftrightarrow \left\{\begin{matrix}10x=32-42=-10\\y=-4x-14\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}x = \frac{-10}{10} = -1 \\ y=-4x-14\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}x = -1 \\ y=-4.(-1)-14=-10\end{matrix}\right.\\ \qquad V=\{(-1,-10)\}\)
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