Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}x+y=\frac{-245}{16}\\-6x=-2y+\frac{715}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+5y=\frac{-945}{52}\\-x=-3y+\frac{-411}{52}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{87}{14}+6x\\-x+y=\frac{-40}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-6y=\frac{875}{57}\\-5x-y=\frac{1175}{57}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-y=\frac{-13}{35}\\-4x+5y=\frac{-11}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+y=\frac{-49}{12}\\-3x+3y=\frac{-37}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-5y=\frac{68}{13}\\-6x=-2y+\frac{-8}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+4y=\frac{19}{4}\\-x=4y+\frac{-83}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+6y=\frac{-93}{14}\\2x+y=\frac{23}{28}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+6y=13\\-x-3y=-8\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+2y=\frac{-271}{28}\\-2x+y=\frac{11}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-y=\frac{41}{19}\\-3x-5y=\frac{-48}{19}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+y=\frac{-245}{16}\\-6x=-2y+\frac{715}{8}\end{matrix}\right.\qquad V=\{(-15,\frac{-5}{16})\}\)
2. \(\left\{\begin{matrix}-6x+5y=\frac{-945}{52}\\-x=-3y+\frac{-411}{52}\end{matrix}\right.\qquad V=\{(\frac{15}{13},\frac{-9}{4})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{87}{14}+6x\\-x+y=\frac{-40}{7}\end{matrix}\right.\qquad V=\{(\frac{17}{14},\frac{-9}{2})\}\)
4. \(\left\{\begin{matrix}-5x-6y=\frac{875}{57}\\-5x-y=\frac{1175}{57}\end{matrix}\right.\qquad V=\{(\frac{-13}{3},\frac{20}{19})\}\)
5. \(\left\{\begin{matrix}-4x-y=\frac{-13}{35}\\-4x+5y=\frac{-11}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{-1}{5})\}\)
6. \(\left\{\begin{matrix}3x+y=\frac{-49}{12}\\-3x+3y=\frac{-37}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-10}{3})\}\)
7. \(\left\{\begin{matrix}-x-5y=\frac{68}{13}\\-6x=-2y+\frac{-8}{13}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},-1)\}\)
8. \(\left\{\begin{matrix}5x+4y=\frac{19}{4}\\-x=4y+\frac{-83}{20}\end{matrix}\right.\qquad V=\{(\frac{3}{20},1)\}\)
9. \(\left\{\begin{matrix}3x+6y=\frac{-93}{14}\\2x+y=\frac{23}{28}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{-7}{4})\}\)
10. \(\left\{\begin{matrix}5x+6y=13\\-x-3y=-8\end{matrix}\right.\qquad V=\{(-1,3)\}\)
11. \(\left\{\begin{matrix}5x+2y=\frac{-271}{28}\\-2x+y=\frac{11}{14}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{-12}{7})\}\)
12. \(\left\{\begin{matrix}4x-y=\frac{41}{19}\\-3x-5y=\frac{-48}{19}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{3}{19})\}\)