Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{-197}{55}-2x\\2x-y=\frac{-97}{55}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{2}{3}+2x\\-x-4y=4\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-4y=\frac{-10}{153}\\x=-3y+\frac{13}{51}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+6y=\frac{148}{7}\\x+y=\frac{41}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+3y=\frac{-412}{39}\\6x=y+\frac{-272}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-3y=0\\-6x+y=\frac{35}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-6y=\frac{1764}{221}\\-5x=-y+\frac{-60}{221}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{-221}{126}-4x\\4x-4y=\frac{82}{63}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+3y=\frac{897}{16}\\4x=-y+\frac{83}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-y=\frac{93}{10}\\-6x-4y=\frac{179}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{243}{7}+6x\\x+5y=\frac{383}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+6y=\frac{38}{3}\\-x=-4y+\frac{46}{9}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{-197}{55}-2x\\2x-y=\frac{-97}{55}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{4}{11})\}\)
2. \(\left\{\begin{matrix}3y=\frac{2}{3}+2x\\-x-4y=4\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-2}{3})\}\)
3. \(\left\{\begin{matrix}-2x-4y=\frac{-10}{153}\\x=-3y+\frac{13}{51}\end{matrix}\right.\qquad V=\{(\frac{-7}{17},\frac{2}{9})\}\)
4. \(\left\{\begin{matrix}4x+6y=\frac{148}{7}\\x+y=\frac{41}{7}\end{matrix}\right.\qquad V=\{(7,\frac{-8}{7})\}\)
5. \(\left\{\begin{matrix}4x+3y=\frac{-412}{39}\\6x=y+\frac{-272}{13}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{12}{13})\}\)
6. \(\left\{\begin{matrix}4x-3y=0\\-6x+y=\frac{35}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-10}{3})\}\)
7. \(\left\{\begin{matrix}-6x-6y=\frac{1764}{221}\\-5x=-y+\frac{-60}{221}\end{matrix}\right.\qquad V=\{(\frac{-3}{17},\frac{-15}{13})\}\)
8. \(\left\{\begin{matrix}y=\frac{-221}{126}-4x\\4x-4y=\frac{82}{63}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{-11}{18})\}\)
9. \(\left\{\begin{matrix}3x+3y=\frac{897}{16}\\4x=-y+\frac{83}{4}\end{matrix}\right.\qquad V=\{(\frac{11}{16},18)\}\)
10. \(\left\{\begin{matrix}-x-y=\frac{93}{10}\\-6x-4y=\frac{179}{5}\end{matrix}\right.\qquad V=\{(\frac{7}{10},-10)\}\)
11. \(\left\{\begin{matrix}3y=\frac{243}{7}+6x\\x+5y=\frac{383}{7}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},11)\}\)
12. \(\left\{\begin{matrix}-6x+6y=\frac{38}{3}\\-x=-4y+\frac{46}{9}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},1)\}\)