Combinatie
\(\left\{\begin{matrix}-9x+10y=-23\\2x=-5y+34\end{matrix}\right.\)
\(\left\{\begin{matrix}-9x+10y=-23\\2x=-5y+34\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}-9x+10y=-23\\2x+5y=34\end{matrix}\right.\text{(Niet verplichte stap, proper schrijven)}\\ \Leftrightarrow \left\{\begin{array}{c|c|c}-9x+10y=-23& \color{red}{2.} & \color{blue}{1.} \\2x+5y=34& \color{red}{9.} & \color{blue}{-2.} \end{array}\right.\\ \Leftrightarrow \left\{\begin{matrix} \color{red}{\underline{-18x+18x}+20y+45y=-46+306} \\ \color{blue}{-9x-4x\underline{+10y-10y}=-23-68} \end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}65y=260 \\-13x=-91\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}y=\frac{260}{65}=4 \\x=\frac{-91}{-13}=7\end{matrix}\right.\\ \qquad V=\{(7,4)\}\)
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vanhoeckes.be/wiskunde 2025-05-31 05:27:21