Combinatie
\(\left\{\begin{matrix}-10x+5y=30\\3x-3y=6\end{matrix}\right.\)
\(\left\{\begin{matrix}-10x+5y=30\\3x-3y=6\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{array}{c|c|c}-10x+5y=30& \color{red}{3.} & \color{blue}{3.} \\3x-3y=6& \color{red}{10.} & \color{blue}{5.} \end{array}\right.\\ \Leftrightarrow \left\{\begin{matrix} \color{red}{\underline{-30x+30x}+15y-30y=90+60} \\ \color{blue}{-30x+15x\underline{+15y-15y}=90+30} \end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}-15y=150 \\-15x=120\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}y=\frac{150}{-15}=-10 \\x=\frac{120}{-15}=-8\end{matrix}\right.\\ \qquad V=\{(-8,-10)\}\)
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vanhoeckes.be/wiskunde 2024-05-07 15:31:21