Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+6y=\frac{234}{17}\\-x-6y=\frac{-199}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+y=-3\\5x+2y=\frac{65}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+y=\frac{484}{5}\\-6x=2y+\frac{632}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{31}{2}+5x\\x+3y=\frac{-131}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-3y=\frac{-199}{7}\\-x=5y+\frac{-75}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+4y=\frac{-19}{5}\\x+3y=\frac{-28}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{-86}{7}-2x\\-x-4y=\frac{-12}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-6y=\frac{64}{15}\\2x=y+\frac{122}{45}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x-y=\frac{-135}{133}\\-2x=2y+\frac{850}{133}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+6y=\frac{-381}{40}\\5x+5y=\frac{-101}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-2y=\frac{-19}{5}\\x=-6y+\frac{-13}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{103}{45}+2x\\-5x-y=\frac{-29}{9}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+6y=\frac{234}{17}\\-x-6y=\frac{-199}{17}\end{matrix}\right.\qquad V=\{(\frac{-5}{17},2)\}\)
2. \(\left\{\begin{matrix}-6x+y=-3\\5x+2y=\frac{65}{9}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{5}{3})\}\)
3. \(\left\{\begin{matrix}-5x+y=\frac{484}{5}\\-6x=2y+\frac{632}{5}\end{matrix}\right.\qquad V=\{(-20,\frac{-16}{5})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{31}{2}+5x\\x+3y=\frac{-131}{10}\end{matrix}\right.\qquad V=\{(\frac{19}{10},-5)\}\)
5. \(\left\{\begin{matrix}-5x-3y=\frac{-199}{7}\\-x=5y+\frac{-75}{7}\end{matrix}\right.\qquad V=\{(5,\frac{8}{7})\}\)
6. \(\left\{\begin{matrix}5x+4y=\frac{-19}{5}\\x+3y=\frac{-28}{5}\end{matrix}\right.\qquad V=\{(1,\frac{-11}{5})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{-86}{7}-2x\\-x-4y=\frac{-12}{7}\end{matrix}\right.\qquad V=\{(-4,\frac{10}{7})\}\)
8. \(\left\{\begin{matrix}-3x-6y=\frac{64}{15}\\2x=y+\frac{122}{45}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-10}{9})\}\)
9. \(\left\{\begin{matrix}3x-y=\frac{-135}{133}\\-2x=2y+\frac{850}{133}\end{matrix}\right.\qquad V=\{(\frac{-20}{19},\frac{-15}{7})\}\)
10. \(\left\{\begin{matrix}x+6y=\frac{-381}{40}\\5x+5y=\frac{-101}{8}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{-7}{5})\}\)
11. \(\left\{\begin{matrix}2x-2y=\frac{-19}{5}\\x=-6y+\frac{-13}{5}\end{matrix}\right.\qquad V=\{(-2,\frac{-1}{10})\}\)
12. \(\left\{\begin{matrix}-5y=\frac{103}{45}+2x\\-5x-y=\frac{-29}{9}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-7}{9})\}\)