Substitutie
\(\left\{\begin{matrix}3y=1+x\\6x-6y=-42\end{matrix}\right.\)
\(\left\{\begin{matrix}3y=1+x\\6x-6y=-42\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}-x+3y=1\\6x-6y=-42\end{matrix}\right.\text{(Niet verplichte stap, proper schrijven)}\\ \Leftrightarrow \left\{\begin{matrix}3y-1=x\\6x-6y=-42\end{matrix}\right.\text{(Afzonderen onbekende met coëff. 1)}\\ \Leftrightarrow \left\{\begin{matrix}x=3y-1\\ 6.\left(3y-1\right)-6y=-42\end{matrix}\right.\text{(Substitutie!)}\\ \Leftrightarrow \left\{\begin{matrix}x=3y-1\\ 18y-6-6y=-42\end{matrix}\right.\text{(Distributie)}\\ \Leftrightarrow \left\{\begin{matrix}x=3y-1\\ 12y=-42+6=-36\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}x=3y-1\\ y=\frac{-36}{12}=-3\end{matrix}\right.\\ \Leftrightarrow \left\{\begin{matrix}x=3.(-3)-1=-10\\ y=-3\end{matrix}\right.\\ \qquad V=\{(-10,-3)\}\)
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wiskundeoefeningen.be 2025-12-23 21:48:37 Een site van Busleyden Atheneum Mechelen