Substitutie
\(\left\{\begin{matrix}x-4y=-34\\-5x-5y=-30\end{matrix}\right.\)
\(\left\{\begin{matrix}x-4y=-34\\-5x-5y=-30\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}x=4y-34\\ -5x-5y=-30\end{matrix}\right.\text{(Afzonderen onbekende met coëff. 1)}\\ \Leftrightarrow \left\{\begin{matrix}x=4y-34\\ -5.\left(4y-34\right)-5y=-30\end{matrix}\right.\text{(Substitutie!)}\\ \Leftrightarrow \left\{\begin{matrix}x=4y-34\\ -20y+170-5y=-30\end{matrix}\right.\text{(Distributie)}\\ \Leftrightarrow \left\{\begin{matrix}x=4y-34\\ -25y=-30-170=-200\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}x=4y-34\\ y=\frac{-200}{-25}=8\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}x=4.(8)-34=-2\\ y=8\end{matrix}\right.\\ \qquad V=\{(-2,8)\}\)
Oefeningengenerator
vanhoeckes.be/wiskunde 2024-11-21 11:28:51