Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}x-2y=\frac{29}{90}\\-3x+3y=\frac{-49}{60}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{-145}{6}-6x\\4x+6y=-9\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{61}{55}-2x\\-x-4y=\frac{-146}{55}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+y=\frac{-183}{10}\\-2x-6y=\frac{59}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-2y=\frac{-89}{10}\\2x=y+\frac{-16}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{170}{21}+5x\\-4x-2y=\frac{52}{21}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+6y=\frac{492}{65}\\3x=-y+\frac{489}{130}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-4y=\frac{-96}{5}\\x-2y=\frac{22}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-4y=\frac{26}{57}\\x+5y=\frac{767}{171}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{-94}{5}-2x\\-x+2y=\frac{56}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+2y=\frac{63}{20}\\x+y=\frac{-7}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+4y=\frac{-984}{187}\\-x=-4y+\frac{-324}{187}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-2y=\frac{29}{90}\\-3x+3y=\frac{-49}{60}\end{matrix}\right.\qquad V=\{(\frac{2}{9},\frac{-1}{20})\}\)
2. \(\left\{\begin{matrix}y=\frac{-145}{6}-6x\\4x+6y=-9\end{matrix}\right.\qquad V=\{(\frac{-17}{4},\frac{4}{3})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{61}{55}-2x\\-x-4y=\frac{-146}{55}\end{matrix}\right.\qquad V=\{(\frac{16}{11},\frac{3}{10})\}\)
4. \(\left\{\begin{matrix}5x+y=\frac{-183}{10}\\-2x-6y=\frac{59}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{-4}{5})\}\)
5. \(\left\{\begin{matrix}5x-2y=\frac{-89}{10}\\2x=y+\frac{-16}{5}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-9}{5})\}\)
6. \(\left\{\begin{matrix}y=\frac{170}{21}+5x\\-4x-2y=\frac{52}{21}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{10}{7})\}\)
7. \(\left\{\begin{matrix}5x+6y=\frac{492}{65}\\3x=-y+\frac{489}{130}\end{matrix}\right.\qquad V=\{(\frac{15}{13},\frac{3}{10})\}\)
8. \(\left\{\begin{matrix}-5x-4y=\frac{-96}{5}\\x-2y=\frac{22}{5}\end{matrix}\right.\qquad V=\{(4,\frac{-1}{5})\}\)
9. \(\left\{\begin{matrix}-6x-4y=\frac{26}{57}\\x+5y=\frac{767}{171}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{20}{19})\}\)
10. \(\left\{\begin{matrix}2y=\frac{-94}{5}-2x\\-x+2y=\frac{56}{5}\end{matrix}\right.\qquad V=\{(-10,\frac{3}{5})\}\)
11. \(\left\{\begin{matrix}-5x+2y=\frac{63}{20}\\x+y=\frac{-7}{4}\end{matrix}\right.\qquad V=\{(\frac{-19}{20},\frac{-4}{5})\}\)
12. \(\left\{\begin{matrix}2x+4y=\frac{-984}{187}\\-x=-4y+\frac{-324}{187}\end{matrix}\right.\qquad V=\{(\frac{-20}{17},\frac{-8}{11})\}\)