Combinatie
\(\left\{\begin{matrix}-5y=-80+10x\\-10x+8y=-132\end{matrix}\right.\)
\(\left\{\begin{matrix}-5y=-80+10x\\-10x+8y=-132\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}-10x-5y=-80\\-10x+8y=-132\end{matrix}\right.\text{(Niet verplichte stap, proper schrijven)}\\ \Leftrightarrow \left\{\begin{array}{c|c|c}-10x-5y=-80& \color{red}{1.} & \color{blue}{8.} \\-10x+8y=-132& \color{red}{-1.} & \color{blue}{5.} \end{array}\right.\\ \Leftrightarrow \left\{\begin{matrix} \color{red}{\underline{-10x+10x}-5y-8y=-80+132} \\ \color{blue}{-80x-50x\underline{-40y+40y}=-640-660} \end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}-13y=52 \\-130x=-1300\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}y=\frac{52}{-13}=-4 \\x=\frac{-1300}{-130}=10\end{matrix}\right.\\ \qquad V=\{(10,-4)\}\)
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vanhoeckes.be/wiskunde 2024-04-19 22:17:51