Substitutie
\(\left\{\begin{matrix}4x+2y=-14\\-6x-y=23\end{matrix}\right.\)
\(\left\{\begin{matrix}4x+2y=-14\\-6x-y=23\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}4x+2y=-14\\ -6x-23=y\end{matrix}\right.\text{(Afzonderen onbekende met coëff. 1)}\\ \Leftrightarrow \left\{\begin{matrix}4x+2\left(-6x-23\right)=-14\\y=-6x-23\end{matrix}\right.\text{(Substitutie!)}\\ \Leftrightarrow \left\{\begin{matrix}4x-12x-46=-14\\y=-6x-23\end{matrix}\right.\text{(Distributie)}\\ \Leftrightarrow \left\{\begin{matrix}-8x=-14+46=32\\y=-6x-23\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}x = \frac{32}{-8} = -4 \\ y=-6x-23\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}x = -4 \\ y=-6.(-4)-23=1\end{matrix}\right.\\ \qquad V=\{(-4,1)\}\)
Oefeningengenerator
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