Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+y=\frac{146}{39}\\4x-3y=\frac{-170}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+6y=\frac{-248}{33}\\2x=y+\frac{328}{99}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-3y=\frac{946}{19}\\2x+y=\frac{-382}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{-245}{72}-5x\\x-y=\frac{-41}{72}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{3}{2}-6x\\-6x+y=\frac{-39}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+3y=\frac{-2}{17}\\6x=y+\frac{-127}{85}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+2y=\frac{-109}{30}\\x=y+\frac{47}{30}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=\frac{136}{35}+4x\\-x-2y=\frac{184}{35}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-2y=\frac{-92}{63}\\-5x+4y=\frac{163}{63}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+6y=\frac{-189}{10}\\-x=-2y+\frac{-121}{20}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{-958}{323}+6x\\4x-6y=\frac{276}{323}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{17}{11}-5x\\-4x+y=\frac{-358}{55}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+y=\frac{146}{39}\\4x-3y=\frac{-170}{13}\end{matrix}\right.\qquad V=\{(\frac{3}{13},\frac{14}{3})\}\)
2. \(\left\{\begin{matrix}-4x+6y=\frac{-248}{33}\\2x=y+\frac{328}{99}\end{matrix}\right.\qquad V=\{(\frac{17}{11},\frac{-2}{9})\}\)
3. \(\left\{\begin{matrix}4x-3y=\frac{946}{19}\\2x+y=\frac{-382}{19}\end{matrix}\right.\qquad V=\{(\frac{-20}{19},-18)\}\)
4. \(\left\{\begin{matrix}5y=\frac{-245}{72}-5x\\x-y=\frac{-41}{72}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{-1}{18})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{3}{2}-6x\\-6x+y=\frac{-39}{8}\end{matrix}\right.\qquad V=\{(1,\frac{9}{8})\}\)
6. \(\left\{\begin{matrix}5x+3y=\frac{-2}{17}\\6x=y+\frac{-127}{85}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{5}{17})\}\)
7. \(\left\{\begin{matrix}-5x+2y=\frac{-109}{30}\\x=y+\frac{47}{30}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{-7}{5})\}\)
8. \(\left\{\begin{matrix}4y=\frac{136}{35}+4x\\-x-2y=\frac{184}{35}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{-10}{7})\}\)
9. \(\left\{\begin{matrix}x-2y=\frac{-92}{63}\\-5x+4y=\frac{163}{63}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{11}{14})\}\)
10. \(\left\{\begin{matrix}-2x+6y=\frac{-189}{10}\\-x=-2y+\frac{-121}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-17}{5})\}\)
11. \(\left\{\begin{matrix}y=\frac{-958}{323}+6x\\4x-6y=\frac{276}{323}\end{matrix}\right.\qquad V=\{(\frac{9}{17},\frac{4}{19})\}\)
12. \(\left\{\begin{matrix}6y=\frac{17}{11}-5x\\-4x+y=\frac{-358}{55}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{-10}{11})\}\)