Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{-103}{3}+2x\\-x-6y=\frac{-125}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+y=\frac{-17}{10}\\3x=3y+\frac{-9}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x+4y=\frac{-59}{6}\\-5x=4y+\frac{-7}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{-1530}{247}+3x\\x+2y=\frac{224}{247}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{51}{26}-6x\\x+3y=\frac{41}{26}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{-26}{45}+5x\\-x-6y=\frac{272}{45}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-3y=\frac{-108}{5}\\-6x+y=\frac{169}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-11}{5}+3x\\-2x-y=\frac{-7}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{9}{35}+3x\\-x-3y=\frac{-67}{35}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-6y=\frac{-1090}{209}\\-5x=-y+\frac{1955}{209}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=-36+2x\\x-2y=-39\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+6y=\frac{-256}{35}\\x+2y=\frac{-82}{35}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{-103}{3}+2x\\-x-6y=\frac{-125}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},7)\}\)
2. \(\left\{\begin{matrix}x+y=\frac{-17}{10}\\3x=3y+\frac{-9}{10}\end{matrix}\right.\qquad V=\{(-1,\frac{-7}{10})\}\)
3. \(\left\{\begin{matrix}-x+4y=\frac{-59}{6}\\-5x=4y+\frac{-7}{6}\end{matrix}\right.\qquad V=\{(\frac{11}{6},-2)\}\)
4. \(\left\{\begin{matrix}5y=\frac{-1530}{247}+3x\\x+2y=\frac{224}{247}\end{matrix}\right.\qquad V=\{(\frac{20}{13},\frac{-6}{19})\}\)
5. \(\left\{\begin{matrix}3y=\frac{51}{26}-6x\\x+3y=\frac{41}{26}\end{matrix}\right.\qquad V=\{(\frac{1}{13},\frac{1}{2})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{-26}{45}+5x\\-x-6y=\frac{272}{45}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{-11}{10})\}\)
7. \(\left\{\begin{matrix}-3x-3y=\frac{-108}{5}\\-6x+y=\frac{169}{5}\end{matrix}\right.\qquad V=\{(\frac{-19}{5},11)\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-11}{5}+3x\\-2x-y=\frac{-7}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{1}{5})\}\)
9. \(\left\{\begin{matrix}6y=\frac{9}{35}+3x\\-x-3y=\frac{-67}{35}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{2}{5})\}\)
10. \(\left\{\begin{matrix}2x-6y=\frac{-1090}{209}\\-5x=-y+\frac{1955}{209}\end{matrix}\right.\qquad V=\{(\frac{-20}{11},\frac{5}{19})\}\)
11. \(\left\{\begin{matrix}-2y=-36+2x\\x-2y=-39\end{matrix}\right.\qquad V=\{(-1,19)\}\)
12. \(\left\{\begin{matrix}5x+6y=\frac{-256}{35}\\x+2y=\frac{-82}{35}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{-11}{10})\}\)