Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+5y=\frac{408}{77}\\-2x-5y=\frac{186}{77}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{678}{91}-x\\-4x-5y=\frac{-717}{91}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+4y=\frac{-33}{2}\\-x-4y=\frac{85}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-y=\frac{151}{6}\\-2x=-5y+\frac{13}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=16+x\\6x-5y=\frac{-175}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{-463}{39}+4x\\x-y=\frac{1}{39}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-y=\frac{-101}{6}\\-5x+2y=\frac{247}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+4y=-22\\x=5y+21\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{-6}{13}-2x\\-6x-y=\frac{-47}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-6y=\frac{-428}{15}\\-3x+y=\frac{14}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{53}{17}-4x\\2x-4y=\frac{-26}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-y=\frac{528}{95}\\-4x=4y+\frac{1212}{95}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+5y=\frac{408}{77}\\-2x-5y=\frac{186}{77}\end{matrix}\right.\qquad V=\{(\frac{-18}{7},\frac{6}{11})\}\)
2. \(\left\{\begin{matrix}5y=\frac{678}{91}-x\\-4x-5y=\frac{-717}{91}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{19}{13})\}\)
3. \(\left\{\begin{matrix}3x+4y=\frac{-33}{2}\\-x-4y=\frac{85}{6}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{-13}{4})\}\)
4. \(\left\{\begin{matrix}-6x-y=\frac{151}{6}\\-2x=-5y+\frac{13}{6}\end{matrix}\right.\qquad V=\{(-4,\frac{-7}{6})\}\)
5. \(\left\{\begin{matrix}-2y=16+x\\6x-5y=\frac{-175}{2}\end{matrix}\right.\qquad V=\{(-15,\frac{-1}{2})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{-463}{39}+4x\\x-y=\frac{1}{39}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{17}{13})\}\)
7. \(\left\{\begin{matrix}2x-y=\frac{-101}{6}\\-5x+2y=\frac{247}{6}\end{matrix}\right.\qquad V=\{(\frac{-15}{2},\frac{11}{6})\}\)
8. \(\left\{\begin{matrix}-6x+4y=-22\\x=5y+21\end{matrix}\right.\qquad V=\{(1,-4)\}\)
9. \(\left\{\begin{matrix}2y=\frac{-6}{13}-2x\\-6x-y=\frac{-47}{13}\end{matrix}\right.\qquad V=\{(\frac{10}{13},-1)\}\)
10. \(\left\{\begin{matrix}2x-6y=\frac{-428}{15}\\-3x+y=\frac{14}{5}\end{matrix}\right.\qquad V=\{(\frac{11}{15},5)\}\)
11. \(\left\{\begin{matrix}-y=\frac{53}{17}-4x\\2x-4y=\frac{-26}{17}\end{matrix}\right.\qquad V=\{(1,\frac{15}{17})\}\)
12. \(\left\{\begin{matrix}-4x-y=\frac{528}{95}\\-4x=4y+\frac{1212}{95}\end{matrix}\right.\qquad V=\{(\frac{-15}{19},\frac{-12}{5})\}\)