Substitutie
\(\left\{\begin{matrix}-2x-5y=-44\\-x=6y-50\end{matrix}\right.\)
\(\left\{\begin{matrix}-2x-5y=-44\\-x=6y-50\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}-2x-5y=-44\\-x-6y=-50\end{matrix}\right.\text{(Niet verplichte stap, proper schrijven)}\\ \Leftrightarrow \left\{\begin{matrix}-2x-5y=-44\\ -6y+50=x\end{matrix}\right.\text{(Afzonderen onbekende met coëff. 1)}\\ \Leftrightarrow \left\{\begin{matrix}-2\left(-6y+50\right)-5y=-44\\x=-6y+50\end{matrix}\right.\text{(Substitutie!)}\\ \Leftrightarrow \left\{\begin{matrix}12y-100-5y=-44\\x=-6y+50\end{matrix}\right.\text{(Distributie)}\\ \Leftrightarrow \left\{\begin{matrix}7y=-44+100=56\\x=-6y+50\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}y = \frac{56}{7} = 8 \\ x=-6y+50\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}y = 8 \\ x=-6.(8)+50=2\end{matrix}\right.\\ \qquad V=\{(2,8)\}\)
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