Combinatie
\(\left\{\begin{matrix}8y=82+10x\\-6x+9y=66\end{matrix}\right.\)
\(\left\{\begin{matrix}8y=82+10x\\-6x+9y=66\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}-10x+8y=82\\-6x+9y=66\end{matrix}\right.\text{(Niet verplichte stap, proper schrijven)}\\ \Leftrightarrow \left\{\begin{array}{c|c|c}-10x+8y=82& \color{red}{3.} & \color{blue}{9.} \\-6x+9y=66& \color{red}{-5.} & \color{blue}{-8.} \end{array}\right.\\ \Leftrightarrow \left\{\begin{matrix} \color{red}{\underline{-30x+30x}+24y-45y=246-330} \\ \color{blue}{-90x+48x\underline{+72y-72y}=738-528} \end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}-21y=-84 \\-42x=210\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}y=\frac{-84}{-21}=4 \\x=\frac{210}{-42}=-5\end{matrix}\right.\\ \qquad V=\{(-5,4)\}\)
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vanhoeckes.be/wiskunde 2026-08-14 20:45:54