Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+4y=8\\-3x=y+-4\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+6y=\frac{-65}{22}\\-4x+y=\frac{-32}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-5y=\frac{108}{5}\\2x=y+\frac{26}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-4y=\frac{4}{153}\\5x-y=\frac{685}{153}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{110}{3}-6x\\x-2y=\frac{112}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{101}{2}-3x\\5x+y=\frac{-5}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=\frac{186}{11}-4x\\-x+y=\frac{-41}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+3y=\frac{657}{70}\\x=-y+\frac{-121}{70}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-2y=\frac{-30}{13}\\-x=-y+\frac{15}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-y=\frac{-25}{24}\\5x+3y=\frac{15}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+3y=\frac{-197}{51}\\3x=4y+\frac{97}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-y=\frac{85}{6}\\-4x-3y=-17\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+4y=8\\-3x=y+-4\end{matrix}\right.\qquad V=\{(1,1)\}\)
2. \(\left\{\begin{matrix}5x+6y=\frac{-65}{22}\\-4x+y=\frac{-32}{11}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-10}{11})\}\)
3. \(\left\{\begin{matrix}6x-5y=\frac{108}{5}\\2x=y+\frac{26}{5}\end{matrix}\right.\qquad V=\{(\frac{11}{10},-3)\}\)
4. \(\left\{\begin{matrix}4x-4y=\frac{4}{153}\\5x-y=\frac{685}{153}\end{matrix}\right.\qquad V=\{(\frac{19}{17},\frac{10}{9})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{110}{3}-6x\\x-2y=\frac{112}{9}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{-19}{3})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{101}{2}-3x\\5x+y=\frac{-5}{2}\end{matrix}\right.\qquad V=\{(\frac{7}{2},-20)\}\)
7. \(\left\{\begin{matrix}-5y=\frac{186}{11}-4x\\-x+y=\frac{-41}{11}\end{matrix}\right.\qquad V=\{(\frac{19}{11},-2)\}\)
8. \(\left\{\begin{matrix}-3x+3y=\frac{657}{70}\\x=-y+\frac{-121}{70}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},\frac{7}{10})\}\)
9. \(\left\{\begin{matrix}2x-2y=\frac{-30}{13}\\-x=-y+\frac{15}{13}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},\frac{9}{13})\}\)
10. \(\left\{\begin{matrix}-5x-y=\frac{-25}{24}\\5x+3y=\frac{15}{8}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{5}{12})\}\)
11. \(\left\{\begin{matrix}-x+3y=\frac{-197}{51}\\3x=4y+\frac{97}{17}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-20}{17})\}\)
12. \(\left\{\begin{matrix}x-y=\frac{85}{6}\\-4x-3y=-17\end{matrix}\right.\qquad V=\{(\frac{17}{2},\frac{-17}{3})\}\)