Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+4y=\frac{-730}{153}\\-3x+y=\frac{-269}{102}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-2y=\frac{-11}{8}\\-x=-6y+\frac{163}{24}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{70}{19}-2x\\x-6y=\frac{130}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+4y=-2\\x-3y=0\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+4y=\frac{-1336}{255}\\-x+5y=\frac{-280}{51}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+4y=\frac{23}{12}\\2x=-5y+\frac{8}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-2y=\frac{-79}{60}\\-5x=5y+\frac{-17}{12}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+y=\frac{363}{65}\\2x=5y+\frac{85}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+4y=1\\-x=-4y+\frac{17}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-5y=\frac{4}{3}\\-5x=y+\frac{-16}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+4y=\frac{-17}{5}\\6x+y=\frac{22}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+3y=\frac{105}{11}\\5x=y+\frac{-101}{11}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+4y=\frac{-730}{153}\\-3x+y=\frac{-269}{102}\end{matrix}\right.\qquad V=\{(\frac{13}{18},\frac{-8}{17})\}\)
2. \(\left\{\begin{matrix}3x-2y=\frac{-11}{8}\\-x=-6y+\frac{163}{24}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{19}{16})\}\)
3. \(\left\{\begin{matrix}-2y=\frac{70}{19}-2x\\x-6y=\frac{130}{19}\end{matrix}\right.\qquad V=\{(\frac{16}{19},-1)\}\)
4. \(\left\{\begin{matrix}2x+4y=-2\\x-3y=0\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{-1}{5})\}\)
5. \(\left\{\begin{matrix}4x+4y=\frac{-1336}{255}\\-x+5y=\frac{-280}{51}\end{matrix}\right.\qquad V=\{(\frac{-3}{17},\frac{-17}{15})\}\)
6. \(\left\{\begin{matrix}-x+4y=\frac{23}{12}\\2x=-5y+\frac{8}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{12},\frac{1}{2})\}\)
7. \(\left\{\begin{matrix}x-2y=\frac{-79}{60}\\-5x=5y+\frac{-17}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{8}{15})\}\)
8. \(\left\{\begin{matrix}-6x+y=\frac{363}{65}\\2x=5y+\frac{85}{13}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{-9}{5})\}\)
9. \(\left\{\begin{matrix}-5x+4y=1\\-x=-4y+\frac{17}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{5},1)\}\)
10. \(\left\{\begin{matrix}3x-5y=\frac{4}{3}\\-5x=y+\frac{-16}{3}\end{matrix}\right.\qquad V=\{(1,\frac{1}{3})\}\)
11. \(\left\{\begin{matrix}3x+4y=\frac{-17}{5}\\6x+y=\frac{22}{5}\end{matrix}\right.\qquad V=\{(1,\frac{-8}{5})\}\)
12. \(\left\{\begin{matrix}-6x+3y=\frac{105}{11}\\5x=y+\frac{-101}{11}\end{matrix}\right.\qquad V=\{(-2,\frac{-9}{11})\}\)