Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-4y=\frac{-25}{9}\\x-2y=\frac{-49}{45}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-3y=\frac{-113}{20}\\-4x=y+\frac{-251}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{-174}{17}+5x\\-4x-y=\frac{-145}{102}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{-19}{70}-6x\\5x+6y=\frac{-46}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=9-6x\\-x-y=0\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{59}{28}-3x\\-x+4y=\frac{-257}{84}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+y=\frac{-125}{14}\\2x=4y+\frac{-65}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+y=\frac{42}{17}\\-3x-3y=\frac{78}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+2y=\frac{-95}{6}\\-x=y+\frac{43}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+5y=\frac{-41}{13}\\-4x=-6y+\frac{-532}{65}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+2y=\frac{-17}{4}\\x=-y+\frac{-17}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+2y=\frac{-19}{3}\\-4x+y=\frac{10}{9}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-4y=\frac{-25}{9}\\x-2y=\frac{-49}{45}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{4}{9})\}\)
2. \(\left\{\begin{matrix}-2x-3y=\frac{-113}{20}\\-4x=y+\frac{-251}{20}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{-1}{4})\}\)
3. \(\left\{\begin{matrix}6y=\frac{-174}{17}+5x\\-4x-y=\frac{-145}{102}\end{matrix}\right.\qquad V=\{(\frac{11}{17},\frac{-7}{6})\}\)
4. \(\left\{\begin{matrix}-y=\frac{-19}{70}-6x\\5x+6y=\frac{-46}{7}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-13}{14})\}\)
5. \(\left\{\begin{matrix}-3y=9-6x\\-x-y=0\end{matrix}\right.\qquad V=\{(1,-1)\}\)
6. \(\left\{\begin{matrix}-3y=\frac{59}{28}-3x\\-x+4y=\frac{-257}{84}\end{matrix}\right.\qquad V=\{(\frac{-1}{12},\frac{-11}{14})\}\)
7. \(\left\{\begin{matrix}4x+y=\frac{-125}{14}\\2x=4y+\frac{-65}{7}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{15}{14})\}\)
8. \(\left\{\begin{matrix}-3x+y=\frac{42}{17}\\-3x-3y=\frac{78}{17}\end{matrix}\right.\qquad V=\{(-1,\frac{-9}{17})\}\)
9. \(\left\{\begin{matrix}3x+2y=\frac{-95}{6}\\-x=y+\frac{43}{6}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-17}{3})\}\)
10. \(\left\{\begin{matrix}x+5y=\frac{-41}{13}\\-4x=-6y+\frac{-532}{65}\end{matrix}\right.\qquad V=\{(\frac{11}{13},\frac{-4}{5})\}\)
11. \(\left\{\begin{matrix}2x+2y=\frac{-17}{4}\\x=-y+\frac{-17}{8}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{1}{8})\}\)
12. \(\left\{\begin{matrix}6x+2y=\frac{-19}{3}\\-4x+y=\frac{10}{9}\end{matrix}\right.\qquad V=\{(\frac{-11}{18},\frac{-4}{3})\}\)