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\(\left\{\begin{matrix}x+5y=-1\\2x+4y=4\end{matrix}\right.\)

\(\left\{\begin{matrix}x+5y=-1\\2x+4y=4\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}x=-5y-1\\ 2x+4y=4\end{matrix}\right.\text{(Afzonderen onbekende met coëff. 1)}\\ \Leftrightarrow \left\{\begin{matrix}x=-5y-1\\ 2.\left(-5y-1\right)+4y=4\end{matrix}\right.\text{(Substitutie!)}\\ \Leftrightarrow \left\{\begin{matrix}x=-5y-1\\ -10y-2+4y=4\end{matrix}\right.\text{(Distributie)}\\ \Leftrightarrow \left\{\begin{matrix}x=-5y-1\\ -6y=4+2=6\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}x=-5y-1\\ y=\frac{6}{-6}=-1\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}x=-5.(-1)-1=4\\ y=-1\end{matrix}\right.\\ \qquad V=\{(4,-1)\}\)