Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}x+5y=\frac{8}{3}\\3x+6y=\frac{7}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-6y=\frac{-802}{95}\\x+3y=\frac{511}{95}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-y=\frac{-169}{12}\\5x+4y=\frac{-127}{24}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-5y=\frac{-5}{4}\\-x=6y+\frac{7}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-3y=\frac{179}{52}\\x+y=\frac{-69}{52}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+y=\frac{171}{272}\\5x+2y=\frac{189}{272}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-y=\frac{58}{11}\\-4x=6y+\frac{-4}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{-50}{171}+2x\\-5x+6y=\frac{-566}{171}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{-45}{4}-6x\\-4x-3y=\frac{23}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+2y=\frac{-73}{15}\\-5x=5y+\frac{28}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{260}{19}+x\\2x+5y=\frac{-517}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{-231}{13}-4x\\x+y=\frac{47}{26}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+5y=\frac{8}{3}\\3x+6y=\frac{7}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{11}{15})\}\)
2. \(\left\{\begin{matrix}2x-6y=\frac{-802}{95}\\x+3y=\frac{511}{95}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{8}{5})\}\)
3. \(\left\{\begin{matrix}6x-y=\frac{-169}{12}\\5x+4y=\frac{-127}{24}\end{matrix}\right.\qquad V=\{(\frac{-17}{8},\frac{4}{3})\}\)
4. \(\left\{\begin{matrix}-5x-5y=\frac{-5}{4}\\-x=6y+\frac{7}{2}\end{matrix}\right.\qquad V=\{(1,\frac{-3}{4})\}\)
5. \(\left\{\begin{matrix}4x-3y=\frac{179}{52}\\x+y=\frac{-69}{52}\end{matrix}\right.\qquad V=\{(\frac{-1}{13},\frac{-5}{4})\}\)
6. \(\left\{\begin{matrix}3x+y=\frac{171}{272}\\5x+2y=\frac{189}{272}\end{matrix}\right.\qquad V=\{(\frac{9}{16},\frac{-18}{17})\}\)
7. \(\left\{\begin{matrix}-6x-y=\frac{58}{11}\\-4x=6y+\frac{-4}{11}\end{matrix}\right.\qquad V=\{(-1,\frac{8}{11})\}\)
8. \(\left\{\begin{matrix}y=\frac{-50}{171}+2x\\-5x+6y=\frac{-566}{171}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{-14}{19})\}\)
9. \(\left\{\begin{matrix}y=\frac{-45}{4}-6x\\-4x-3y=\frac{23}{4}\end{matrix}\right.\qquad V=\{(-2,\frac{3}{4})\}\)
10. \(\left\{\begin{matrix}x+2y=\frac{-73}{15}\\-5x=5y+\frac{28}{3}\end{matrix}\right.\qquad V=\{(\frac{17}{15},-3)\}\)
11. \(\left\{\begin{matrix}-2y=\frac{260}{19}+x\\2x+5y=\frac{-517}{19}\end{matrix}\right.\qquad V=\{(-14,\frac{3}{19})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{-231}{13}-4x\\x+y=\frac{47}{26}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},\frac{5}{2})\}\)