Substitutie
\(\left\{\begin{matrix}5x-5y=-5\\x+4y=-26\end{matrix}\right.\)
\(\left\{\begin{matrix}5x-5y=-5\\x+4y=-26\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}5x-5y=-5\\ x=-4y-26\end{matrix}\right.\text{(Afzonderen onbekende met coëff. 1)}\\ \Leftrightarrow \left\{\begin{matrix}5\left(-4y-26\right)-5y=-5\\x=-4y-26\end{matrix}\right.\text{(Substitutie!)}\\ \Leftrightarrow \left\{\begin{matrix}-20y-130-5y=-5\\x=-4y-26\end{matrix}\right.\text{(Distributie)}\\ \Leftrightarrow \left\{\begin{matrix}-25y=-5+130=125\\x=-4y-26\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}y = \frac{125}{-25} = -5 \\ x=-4y-26\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}y = -5 \\ x=-4.(-5)-26=-6\end{matrix}\right.\\ \qquad V=\{(-6,-5)\}\)
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