Combinatie
\(\left\{\begin{matrix}7x+10y=47\\10x=-5y+30\end{matrix}\right.\)
\(\left\{\begin{matrix}7x+10y=47\\10x=-5y+30\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}7x+10y=47\\10x+5y=30\end{matrix}\right.\text{(Niet verplichte stap, proper schrijven)}\\ \Leftrightarrow \left\{\begin{array}{c|c|c}7x+10y=47& \color{red}{10.} & \color{blue}{1.} \\10x+5y=30& \color{red}{-7.} & \color{blue}{-2.} \end{array}\right.\\ \Leftrightarrow \left\{\begin{matrix} \color{red}{\underline{70x-70x}+100y-35y=470-210} \\ \color{blue}{7x-20x\underline{+10y-10y}=47-60} \end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}65y=260 \\-13x=-13\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}y=\frac{260}{65}=4 \\x=\frac{-13}{-13}=1\end{matrix}\right.\\ \qquad V=\{(1,4)\}\)
Oefeningengenerator
wiskundeoefeningen.be 2024-09-29 01:28:49 Een site van Busleyden Atheneum Mechelen