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\(\left\{\begin{matrix}-6x-10y=8\\-9y+3x=-18\end{matrix}\right.\)

\(\left\{\begin{matrix}-6x-10y=8\\-9y+3x=-18\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}-6x-10y=8\\3x-9y=-18\end{matrix}\right.\text{(Niet verplichte stap, proper schrijven)}\\ \Leftrightarrow \left\{\begin{array}{c|c|c}-6x-10y=8& \color{red}{1.} & \color{blue}{9.} \\3x-9y=-18& \color{red}{2.} & \color{blue}{-10.} \end{array}\right.\\ \Leftrightarrow \left\{\begin{matrix} \color{red}{\underline{-6x+6x}-10y-18y=8-36} \\ \color{blue}{-54x-30x\underline{-90y+90y}=72+180} \end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}-28y=-28 \\-84x=252\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}y=\frac{-28}{-28}=1 \\x=\frac{252}{-84}=-3\end{matrix}\right.\\ \qquad V=\{(-3,1)\}\)