Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-5y=\frac{-24}{7}\\-x=3y+\frac{50}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+4y=\frac{-232}{9}\\x-y=\frac{-131}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{1186}{57}+5x\\x+6y=\frac{-482}{57}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{858}{19}-3x\\-x+2y=\frac{-296}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-y=\frac{-179}{18}\\-2x=6y+\frac{1}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-5y=\frac{216}{65}\\-3x=-y+\frac{-323}{130}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{75}{8}-6x\\-x+y=\frac{-29}{8}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+4y=\frac{162}{13}\\3x=-y+\frac{-57}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-y=\frac{101}{18}\\-3x+4y=\frac{-64}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-2y=\frac{-118}{51}\\x+6y=\frac{248}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-5y=\frac{25}{63}\\x=-3y+\frac{73}{21}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-5y=\frac{-147}{10}\\-5x=6y+\frac{-33}{2}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-5y=\frac{-24}{7}\\-x=3y+\frac{50}{7}\end{matrix}\right.\qquad V=\{(-2,\frac{-12}{7})\}\)
2. \(\left\{\begin{matrix}2x+4y=\frac{-232}{9}\\x-y=\frac{-131}{9}\end{matrix}\right.\qquad V=\{(-14,\frac{5}{9})\}\)
3. \(\left\{\begin{matrix}4y=\frac{1186}{57}+5x\\x+6y=\frac{-482}{57}\end{matrix}\right.\qquad V=\{(\frac{-14}{3},\frac{-12}{19})\}\)
4. \(\left\{\begin{matrix}-4y=\frac{858}{19}-3x\\-x+2y=\frac{-296}{19}\end{matrix}\right.\qquad V=\{(14,\frac{-15}{19})\}\)
5. \(\left\{\begin{matrix}3x-y=\frac{-179}{18}\\-2x=6y+\frac{1}{3}\end{matrix}\right.\qquad V=\{(-3,\frac{17}{18})\}\)
6. \(\left\{\begin{matrix}2x-5y=\frac{216}{65}\\-3x=-y+\frac{-323}{130}\end{matrix}\right.\qquad V=\{(\frac{7}{10},\frac{-5}{13})\}\)
7. \(\left\{\begin{matrix}5y=\frac{75}{8}-6x\\-x+y=\frac{-29}{8}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-9}{8})\}\)
8. \(\left\{\begin{matrix}-6x+4y=\frac{162}{13}\\3x=-y+\frac{-57}{13}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{8}{13})\}\)
9. \(\left\{\begin{matrix}x-y=\frac{101}{18}\\-3x+4y=\frac{-64}{3}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{-9}{2})\}\)
10. \(\left\{\begin{matrix}4x-2y=\frac{-118}{51}\\x+6y=\frac{248}{17}\end{matrix}\right.\qquad V=\{(\frac{10}{17},\frac{7}{3})\}\)
11. \(\left\{\begin{matrix}-5x-5y=\frac{25}{63}\\x=-3y+\frac{73}{21}\end{matrix}\right.\qquad V=\{(\frac{-13}{7},\frac{16}{9})\}\)
12. \(\left\{\begin{matrix}-x-5y=\frac{-147}{10}\\-5x=6y+\frac{-33}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},3)\}\)