Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-2y=\frac{-21}{4}\\x-5y=\frac{-149}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+6y=-122\\4x+y=\frac{229}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+6y=\frac{173}{15}\\5x+y=\frac{-29}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+3y=\frac{-66}{19}\\-2x=y+\frac{-73}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+y=\frac{33}{5}\\5x+5y=13\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-y=\frac{67}{16}\\-3x=6y+\frac{-27}{16}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-y=\frac{-19}{11}\\-6x=6y+\frac{-63}{22}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-219}{10}-2x\\x+y=\frac{181}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+4y=\frac{-2082}{323}\\x+6y=\frac{-1679}{323}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+y=\frac{-211}{152}\\-4x-2y=\frac{-109}{76}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{-134}{39}+6x\\-5x-3y=\frac{-303}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{47}{6}+4x\\3x+y=\frac{-75}{8}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-2y=\frac{-21}{4}\\x-5y=\frac{-149}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{12},\frac{5}{2})\}\)
2. \(\left\{\begin{matrix}-5x+6y=-122\\4x+y=\frac{229}{3}\end{matrix}\right.\qquad V=\{(20,\frac{-11}{3})\}\)
3. \(\left\{\begin{matrix}-2x+6y=\frac{173}{15}\\5x+y=\frac{-29}{6}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{3}{2})\}\)
4. \(\left\{\begin{matrix}-4x+3y=\frac{-66}{19}\\-2x=y+\frac{-73}{19}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{16}{19})\}\)
5. \(\left\{\begin{matrix}6x+y=\frac{33}{5}\\5x+5y=13\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{9}{5})\}\)
6. \(\left\{\begin{matrix}5x-y=\frac{67}{16}\\-3x=6y+\frac{-27}{16}\end{matrix}\right.\qquad V=\{(\frac{13}{16},\frac{-1}{8})\}\)
7. \(\left\{\begin{matrix}4x-y=\frac{-19}{11}\\-6x=6y+\frac{-63}{22}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{8}{11})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-219}{10}-2x\\x+y=\frac{181}{20}\end{matrix}\right.\qquad V=\{(\frac{-19}{20},10)\}\)
9. \(\left\{\begin{matrix}-2x+4y=\frac{-2082}{323}\\x+6y=\frac{-1679}{323}\end{matrix}\right.\qquad V=\{(\frac{19}{17},\frac{-20}{19})\}\)
10. \(\left\{\begin{matrix}-3x+y=\frac{-211}{152}\\-4x-2y=\frac{-109}{76}\end{matrix}\right.\qquad V=\{(\frac{8}{19},\frac{-1}{8})\}\)
11. \(\left\{\begin{matrix}y=\frac{-134}{39}+6x\\-5x-3y=\frac{-303}{13}\end{matrix}\right.\qquad V=\{(\frac{19}{13},\frac{16}{3})\}\)
12. \(\left\{\begin{matrix}4y=\frac{47}{6}+4x\\3x+y=\frac{-75}{8}\end{matrix}\right.\qquad V=\{(\frac{-17}{6},\frac{-7}{8})\}\)