Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+3y=\frac{97}{14}\\-x-4y=\frac{-47}{14}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+3y=\frac{165}{34}\\x-y=\frac{-169}{136}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-y=\frac{-2}{11}\\3x=4y+\frac{64}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+y=\frac{499}{130}\\-4x-4y=\frac{-426}{65}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+4y=36\\x-4y=9\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+2y=\frac{3}{5}\\-5x+y=\frac{19}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+2y=\frac{79}{15}\\-x=2y+\frac{-247}{45}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-3y=\frac{-103}{60}\\-3x+3y=\frac{61}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+4y=\frac{-412}{57}\\5x+y=\frac{-841}{171}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=-7+x\\4x+2y=-12\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{-125}{18}+x\\6x+4y=\frac{-203}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-6y=-31\\-x-5y=\frac{-37}{3}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+3y=\frac{97}{14}\\-x-4y=\frac{-47}{14}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{1}{2})\}\)
2. \(\left\{\begin{matrix}-4x+3y=\frac{165}{34}\\x-y=\frac{-169}{136}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{2}{17})\}\)
3. \(\left\{\begin{matrix}3x-y=\frac{-2}{11}\\3x=4y+\frac{64}{11}\end{matrix}\right.\qquad V=\{(\frac{-8}{11},-2)\}\)
4. \(\left\{\begin{matrix}3x+y=\frac{499}{130}\\-4x-4y=\frac{-426}{65}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{7}{13})\}\)
5. \(\left\{\begin{matrix}2x+4y=36\\x-4y=9\end{matrix}\right.\qquad V=\{(15,\frac{3}{2})\}\)
6. \(\left\{\begin{matrix}6x+2y=\frac{3}{5}\\-5x+y=\frac{19}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{9}{10})\}\)
7. \(\left\{\begin{matrix}3x+2y=\frac{79}{15}\\-x=2y+\frac{-247}{45}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{14}{5})\}\)
8. \(\left\{\begin{matrix}x-3y=\frac{-103}{60}\\-3x+3y=\frac{61}{20}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{7}{20})\}\)
9. \(\left\{\begin{matrix}6x+4y=\frac{-412}{57}\\5x+y=\frac{-841}{171}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{-9}{19})\}\)
10. \(\left\{\begin{matrix}-3y=-7+x\\4x+2y=-12\end{matrix}\right.\qquad V=\{(-5,4)\}\)
11. \(\left\{\begin{matrix}5y=\frac{-125}{18}+x\\6x+4y=\frac{-203}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-17}{9})\}\)
12. \(\left\{\begin{matrix}-3x-6y=-31\\-x-5y=\frac{-37}{3}\end{matrix}\right.\qquad V=\{(9,\frac{2}{3})\}\)