Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{-117}{20}+2x\\x-6y=\frac{-99}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-6y=\frac{313}{17}\\-5x=-2y+\frac{-137}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-4y=\frac{29}{13}\\x+2y=\frac{23}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{124}{63}+2x\\-x-y=\frac{118}{63}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{15}{16}-5x\\3x-y=\frac{-13}{16}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{-196}{9}-6x\\x+5y=\frac{-61}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-5y=\frac{63}{2}\\-5x+y=\frac{-441}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-y=\frac{-1469}{165}\\2x=-3y+\frac{-146}{55}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-5y=\frac{-69}{4}\\-x=y+\frac{-15}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{-85}{28}+5x\\x+6y=\frac{-39}{28}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+y=\frac{192}{35}\\6x=3y+\frac{24}{35}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-4y=\frac{-191}{28}\\-6x=y+\frac{313}{112}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{-117}{20}+2x\\x-6y=\frac{-99}{20}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{9}{8})\}\)
2. \(\left\{\begin{matrix}x-6y=\frac{313}{17}\\-5x=-2y+\frac{-137}{17}\end{matrix}\right.\qquad V=\{(\frac{7}{17},-3)\}\)
3. \(\left\{\begin{matrix}3x-4y=\frac{29}{13}\\x+2y=\frac{23}{13}\end{matrix}\right.\qquad V=\{(\frac{15}{13},\frac{4}{13})\}\)
4. \(\left\{\begin{matrix}2y=\frac{124}{63}+2x\\-x-y=\frac{118}{63}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-4}{9})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{15}{16}-5x\\3x-y=\frac{-13}{16}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-11}{16})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{-196}{9}-6x\\x+5y=\frac{-61}{9}\end{matrix}\right.\qquad V=\{(-4,\frac{-5}{9})\}\)
7. \(\left\{\begin{matrix}4x-5y=\frac{63}{2}\\-5x+y=\frac{-441}{10}\end{matrix}\right.\qquad V=\{(9,\frac{9}{10})\}\)
8. \(\left\{\begin{matrix}5x-y=\frac{-1469}{165}\\2x=-3y+\frac{-146}{55}\end{matrix}\right.\qquad V=\{(\frac{-19}{11},\frac{4}{15})\}\)
9. \(\left\{\begin{matrix}2x-5y=\frac{-69}{4}\\-x=y+\frac{-15}{8}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},3)\}\)
10. \(\left\{\begin{matrix}-2y=\frac{-85}{28}+5x\\x+6y=\frac{-39}{28}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-5}{14})\}\)
11. \(\left\{\begin{matrix}6x+y=\frac{192}{35}\\6x=3y+\frac{24}{35}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{6}{5})\}\)
12. \(\left\{\begin{matrix}4x-4y=\frac{-191}{28}\\-6x=y+\frac{313}{112}\end{matrix}\right.\qquad V=\{(\frac{-9}{14},\frac{17}{16})\}\)