Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+3y=\frac{127}{40}\\-5x-y=\frac{27}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{38}{9}-x\\3x-4y=\frac{95}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+2y=\frac{205}{18}\\2x=y+\frac{50}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-5y=\frac{115}{4}\\6x+y=\frac{117}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{631}{28}-x\\3x+6y=\frac{174}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{29}{9}-4x\\4x+5y=\frac{17}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=\frac{-69}{2}+6x\\-5x+y=-21\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=\frac{-572}{17}-6x\\-5x-y=\frac{80}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-6y=\frac{-508}{19}\\x-5y=\frac{-1090}{57}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{-182}{55}-2x\\-4x+y=\frac{289}{55}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-4y=\frac{511}{247}\\-x=y+\frac{-259}{247}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+2y=-22\\-x+3y=\frac{-11}{6}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+3y=\frac{127}{40}\\-5x-y=\frac{27}{8}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{1}{8})\}\)
2. \(\left\{\begin{matrix}-y=\frac{38}{9}-x\\3x-4y=\frac{95}{9}\end{matrix}\right.\qquad V=\{(\frac{19}{3},\frac{19}{9})\}\)
3. \(\left\{\begin{matrix}5x+2y=\frac{205}{18}\\2x=y+\frac{50}{9}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-5}{9})\}\)
4. \(\left\{\begin{matrix}5x-5y=\frac{115}{4}\\6x+y=\frac{117}{4}\end{matrix}\right.\qquad V=\{(5,\frac{-3}{4})\}\)
5. \(\left\{\begin{matrix}5y=\frac{631}{28}-x\\3x+6y=\frac{174}{7}\end{matrix}\right.\qquad V=\{(\frac{-17}{14},\frac{19}{4})\}\)
6. \(\left\{\begin{matrix}y=\frac{29}{9}-4x\\4x+5y=\frac{17}{9}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{-1}{3})\}\)
7. \(\left\{\begin{matrix}-5y=\frac{-69}{2}+6x\\-5x+y=-21\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{3}{2})\}\)
8. \(\left\{\begin{matrix}4y=\frac{-572}{17}-6x\\-5x-y=\frac{80}{17}\end{matrix}\right.\qquad V=\{(\frac{18}{17},-10)\}\)
9. \(\left\{\begin{matrix}6x-6y=\frac{-508}{19}\\x-5y=\frac{-1090}{57}\end{matrix}\right.\qquad V=\{(\frac{-15}{19},\frac{11}{3})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{-182}{55}-2x\\-4x+y=\frac{289}{55}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{5}{11})\}\)
11. \(\left\{\begin{matrix}3x-4y=\frac{511}{247}\\-x=y+\frac{-259}{247}\end{matrix}\right.\qquad V=\{(\frac{17}{19},\frac{2}{13})\}\)
12. \(\left\{\begin{matrix}3x+2y=-22\\-x+3y=\frac{-11}{6}\end{matrix}\right.\qquad V=\{(\frac{-17}{3},\frac{-5}{2})\}\)