Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{36}{5}+3x\\6x-2y=\frac{-72}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{-606}{247}+2x\\-x+5y=\frac{1749}{247}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-4y=\frac{-19}{10}\\-3x=y+\frac{-13}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+y=\frac{-185}{14}\\4x+6y=\frac{-114}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+5y=\frac{-149}{5}\\6x+2y=\frac{-66}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-y=\frac{14}{9}\\-3x=2y+\frac{-4}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+y=\frac{-265}{114}\\5x+4y=\frac{10}{57}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-3y=\frac{107}{12}\\-x=6y+\frac{25}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{157}{22}-x\\-3x+5y=\frac{-475}{22}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+6y=\frac{722}{17}\\x=-5y+\frac{171}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-5y=\frac{-25}{2}\\x+4y=4\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+2y=\frac{384}{13}\\-x=5y+\frac{-972}{13}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{36}{5}+3x\\6x-2y=\frac{-72}{5}\end{matrix}\right.\qquad V=\{(-2,\frac{6}{5})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{-606}{247}+2x\\-x+5y=\frac{1749}{247}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},\frac{18}{13})\}\)
3. \(\left\{\begin{matrix}2x-4y=\frac{-19}{10}\\-3x=y+\frac{-13}{20}\end{matrix}\right.\qquad V=\{(\frac{1}{20},\frac{1}{2})\}\)
4. \(\left\{\begin{matrix}3x+y=\frac{-185}{14}\\4x+6y=\frac{-114}{7}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{2}{7})\}\)
5. \(\left\{\begin{matrix}-x+5y=\frac{-149}{5}\\6x+2y=\frac{-66}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},-6)\}\)
6. \(\left\{\begin{matrix}-4x-y=\frac{14}{9}\\-3x=2y+\frac{-4}{3}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},2)\}\)
7. \(\left\{\begin{matrix}5x+y=\frac{-265}{114}\\5x+4y=\frac{10}{57}\end{matrix}\right.\qquad V=\{(\frac{-12}{19},\frac{5}{6})\}\)
8. \(\left\{\begin{matrix}3x-3y=\frac{107}{12}\\-x=6y+\frac{25}{12}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-13}{18})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{157}{22}-x\\-3x+5y=\frac{-475}{22}\end{matrix}\right.\qquad V=\{(\frac{15}{2},\frac{2}{11})\}\)
10. \(\left\{\begin{matrix}5x+6y=\frac{722}{17}\\x=-5y+\frac{171}{17}\end{matrix}\right.\qquad V=\{(8,\frac{7}{17})\}\)
11. \(\left\{\begin{matrix}-5x-5y=\frac{-25}{2}\\x+4y=4\end{matrix}\right.\qquad V=\{(2,\frac{1}{2})\}\)
12. \(\left\{\begin{matrix}2x+2y=\frac{384}{13}\\-x=5y+\frac{-972}{13}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},15)\}\)