Combinatie
\(\left\{\begin{matrix}-5y=14-2x\\-6x+9y=-6\end{matrix}\right.\)
\(\left\{\begin{matrix}-5y=14-2x\\-6x+9y=-6\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}2x-5y=14\\-6x+9y=-6\end{matrix}\right.\text{(Niet verplichte stap, proper schrijven)}\\ \Leftrightarrow \left\{\begin{array}{c|c|c}2x-5y=14& \color{red}{3.} & \color{blue}{9.} \\-6x+9y=-6& \color{red}{1.} & \color{blue}{5.} \end{array}\right.\\ \Leftrightarrow \left\{\begin{matrix} \color{red}{\underline{6x-6x}-15y+9y=42-6} \\ \color{blue}{18x-30x\underline{-45y+45y}=126-30} \end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}-6y=36 \\-12x=96\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}y=\frac{36}{-6}=-6 \\x=\frac{96}{-12}=-8\end{matrix}\right.\\ \qquad V=\{(-8,-6)\}\)
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vanhoeckes.be/wiskunde 2025-04-04 04:49:37