Substitutie
\(\left\{\begin{matrix}5x-3y=18\\-x-4y=1\end{matrix}\right.\)
\(\left\{\begin{matrix}5x-3y=18\\-x-4y=1\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}5x-3y=18\\ -4y-1=x\end{matrix}\right.\text{(Afzonderen onbekende met coëff. 1)}\\ \Leftrightarrow \left\{\begin{matrix}5\left(-4y-1\right)-3y=18\\x=-4y-1\end{matrix}\right.\text{(Substitutie!)}\\ \Leftrightarrow \left\{\begin{matrix}-20y-5-3y=18\\x=-4y-1\end{matrix}\right.\text{(Distributie)}\\ \Leftrightarrow \left\{\begin{matrix}-23y=18+5=23\\x=-4y-1\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}y = \frac{23}{-23} = -1 \\ x=-4y-1\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}y = -1 \\ x=-4.(-1)-1=3\end{matrix}\right.\\ \qquad V=\{(3,-1)\}\)
Oefeningengenerator
vanhoeckes.be/wiskunde 2024-04-27 05:54:28