Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+3y=\frac{41}{2}\\x=6y+\frac{-487}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{-23}{8}-x\\-3x-2y=\frac{17}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+5y=9\\x=3y+\frac{-11}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+6y=\frac{-23}{12}\\5x-y=\frac{605}{24}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=-13+6x\\-3x-3y=\frac{-33}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+5y=\frac{92}{13}\\-4x-6y=\frac{-748}{65}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-3y=\frac{8}{5}\\-x+4y=\frac{21}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+2y=\frac{-293}{10}\\x-3y=\frac{-221}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+y=\frac{-79}{17}\\-3x-5y=\frac{155}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-y=\frac{-1}{33}\\-4x=6y+\frac{-446}{33}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-4y=\frac{-24}{5}\\2x-y=\frac{37}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-6y=\frac{157}{8}\\-6x=-y+\frac{-319}{16}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+3y=\frac{41}{2}\\x=6y+\frac{-487}{10}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},8)\}\)
2. \(\left\{\begin{matrix}3y=\frac{-23}{8}-x\\-3x-2y=\frac{17}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{-5}{8})\}\)
3. \(\left\{\begin{matrix}-6x+5y=9\\x=3y+\frac{-11}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},1)\}\)
4. \(\left\{\begin{matrix}2x+6y=\frac{-23}{12}\\5x-y=\frac{605}{24}\end{matrix}\right.\qquad V=\{(\frac{14}{3},\frac{-15}{8})\}\)
5. \(\left\{\begin{matrix}y=-13+6x\\-3x-3y=\frac{-33}{4}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{1}{2})\}\)
6. \(\left\{\begin{matrix}x+5y=\frac{92}{13}\\-4x-6y=\frac{-748}{65}\end{matrix}\right.\qquad V=\{(\frac{14}{13},\frac{6}{5})\}\)
7. \(\left\{\begin{matrix}-4x-3y=\frac{8}{5}\\-x+4y=\frac{21}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{4}{5})\}\)
8. \(\left\{\begin{matrix}3x+2y=\frac{-293}{10}\\x-3y=\frac{-221}{20}\end{matrix}\right.\qquad V=\{(-10,\frac{7}{20})\}\)
9. \(\left\{\begin{matrix}3x+y=\frac{-79}{17}\\-3x-5y=\frac{155}{17}\end{matrix}\right.\qquad V=\{(\frac{-20}{17},\frac{-19}{17})\}\)
10. \(\left\{\begin{matrix}x-y=\frac{-1}{33}\\-4x=6y+\frac{-446}{33}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{15}{11})\}\)
11. \(\left\{\begin{matrix}-6x-4y=\frac{-24}{5}\\2x-y=\frac{37}{10}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{-9}{10})\}\)
12. \(\left\{\begin{matrix}6x-6y=\frac{157}{8}\\-6x=-y+\frac{-319}{16}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{1}{16})\}\)