Werk uit
\(\left\{\begin{matrix}-5x+4y=-43\\-7x=8y-33\end{matrix}\right.\)
\(\left\{\begin{matrix}-5x+4y=-43\\-7x=8y-33\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}-5x+4y=-43\\-7x-8y=-33\end{matrix}\right.\text{(Niet verplichte stap, proper schrijven)}\\ \Leftrightarrow \left\{\begin{array}{c|c|c}-5x+4y=-43& \color{red}{7.} & \color{blue}{2.} \\-7x-8y=-33& \color{red}{-5.} & \color{blue}{1.} \end{array}\right.\\ \Leftrightarrow \left\{\begin{matrix} \color{red}{\underline{-35x+35x}+28y+40y=-301+165} \\ \color{blue}{-10x-7x\underline{+8y-8y}=-86-33} \end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}68y=-136 \\-17x=-119\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}y=\frac{-136}{68}=-2 \\x=\frac{-119}{-17}=7\end{matrix}\right.\\ \qquad V=\{(7,-2)\}\)