Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+5y=\frac{-55}{18}\\5x=y+\frac{47}{18}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-3y=-1\\-6x=-y+\frac{22}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+4y=\frac{2}{7}\\x=-2y+\frac{-8}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=\frac{-397}{55}-2x\\-3x+y=\frac{201}{110}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+2y=\frac{38}{3}\\-x=-2y+\frac{-22}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+6y=\frac{44}{15}\\6x-y=\frac{209}{60}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{-4}{11}-5x\\-x-y=\frac{19}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+4y=\frac{235}{11}\\-x+4y=\frac{15}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{-382}{5}+4x\\x-3y=\frac{106}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+y=\frac{-71}{34}\\3x+2y=\frac{50}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{320}{51}-3x\\-5x-y=\frac{-1046}{255}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+y=13\\-5x+2y=15\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+5y=\frac{-55}{18}\\5x=y+\frac{47}{18}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-1}{9})\}\)
2. \(\left\{\begin{matrix}-3x-3y=-1\\-6x=-y+\frac{22}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{4}{3})\}\)
3. \(\left\{\begin{matrix}3x+4y=\frac{2}{7}\\x=-2y+\frac{-8}{7}\end{matrix}\right.\qquad V=\{(\frac{18}{7},\frac{-13}{7})\}\)
4. \(\left\{\begin{matrix}6y=\frac{-397}{55}-2x\\-3x+y=\frac{201}{110}\end{matrix}\right.\qquad V=\{(\frac{-10}{11},\frac{-9}{10})\}\)
5. \(\left\{\begin{matrix}4x+2y=\frac{38}{3}\\-x=-2y+\frac{-22}{3}\end{matrix}\right.\qquad V=\{(4,\frac{-5}{3})\}\)
6. \(\left\{\begin{matrix}-3x+6y=\frac{44}{15}\\6x-y=\frac{209}{60}\end{matrix}\right.\qquad V=\{(\frac{13}{18},\frac{17}{20})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{-4}{11}-5x\\-x-y=\frac{19}{11}\end{matrix}\right.\qquad V=\{(\frac{-6}{11},\frac{-13}{11})\}\)
8. \(\left\{\begin{matrix}-5x+4y=\frac{235}{11}\\-x+4y=\frac{15}{11}\end{matrix}\right.\qquad V=\{(-5,\frac{-10}{11})\}\)
9. \(\left\{\begin{matrix}6y=\frac{-382}{5}+4x\\x-3y=\frac{106}{5}\end{matrix}\right.\qquad V=\{(17,\frac{-7}{5})\}\)
10. \(\left\{\begin{matrix}-4x+y=\frac{-71}{34}\\3x+2y=\frac{50}{17}\end{matrix}\right.\qquad V=\{(\frac{11}{17},\frac{1}{2})\}\)
11. \(\left\{\begin{matrix}5y=\frac{320}{51}-3x\\-5x-y=\frac{-1046}{255}\end{matrix}\right.\qquad V=\{(\frac{11}{17},\frac{13}{15})\}\)
12. \(\left\{\begin{matrix}-5x+y=13\\-5x+2y=15\end{matrix}\right.\qquad V=\{(\frac{-11}{5},2)\}\)