Combinatie
\(\left\{\begin{matrix}9x-4y=-46\\-2x=-5y+39\end{matrix}\right.\)
\(\left\{\begin{matrix}9x-4y=-46\\-2x=-5y+39\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}9x-4y=-46\\-2x+5y=39\end{matrix}\right.\text{(Niet verplichte stap, proper schrijven)}\\ \Leftrightarrow \left\{\begin{array}{c|c|c}9x-4y=-46& \color{red}{2.} & \color{blue}{5.} \\-2x+5y=39& \color{red}{9.} & \color{blue}{4.} \end{array}\right.\\ \Leftrightarrow \left\{\begin{matrix} \color{red}{\underline{18x-18x}-8y+45y=-92+351} \\ \color{blue}{45x-8x\underline{-20y+20y}=-230+156} \end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}37y=259 \\37x=-74\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}y=\frac{259}{37}=7 \\x=\frac{-74}{37}=-2\end{matrix}\right.\\ \qquad V=\{(-2,7)\}\)
Oefeningengenerator
vanhoeckes.be/wiskunde 2025-11-17 07:39:18