Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-y=\frac{43}{266}\\4x-3y=\frac{745}{266}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+6y=\frac{-49}{5}\\3x=5y+\frac{82}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-4y=\frac{173}{20}\\-4x=-y+\frac{-88}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3y=\frac{17}{4}+6x\\-3x-y=\frac{9}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{127}{95}+5x\\-6x-y=\frac{-991}{190}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{-89}{304}+5x\\-x+y=\frac{-421}{304}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x-2y=\frac{-437}{20}\\x-3y=\frac{-589}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-3y=\frac{-208}{55}\\6x=y+\frac{-96}{55}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{-44}{7}+4x\\-x-3y=\frac{-43}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+4y=16\\x+5y=\frac{139}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=63+6x\\-x+y=13\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{-42}{5}+6x\\-x-y=\frac{-3}{2}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-y=\frac{43}{266}\\4x-3y=\frac{745}{266}\end{matrix}\right.\qquad V=\{(\frac{-4}{19},\frac{-17}{14})\}\)
2. \(\left\{\begin{matrix}-x+6y=\frac{-49}{5}\\3x=5y+\frac{82}{5}\end{matrix}\right.\qquad V=\{(\frac{19}{5},-1)\}\)
3. \(\left\{\begin{matrix}3x-4y=\frac{173}{20}\\-4x=-y+\frac{-88}{5}\end{matrix}\right.\qquad V=\{(\frac{19}{4},\frac{7}{5})\}\)
4. \(\left\{\begin{matrix}-3y=\frac{17}{4}+6x\\-3x-y=\frac{9}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{1}{4})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{127}{95}+5x\\-6x-y=\frac{-991}{190}\end{matrix}\right.\qquad V=\{(\frac{20}{19},\frac{-11}{10})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{-89}{304}+5x\\-x+y=\frac{-421}{304}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{-18}{19})\}\)
7. \(\left\{\begin{matrix}3x-2y=\frac{-437}{20}\\x-3y=\frac{-589}{20}\end{matrix}\right.\qquad V=\{(\frac{-19}{20},\frac{19}{2})\}\)
8. \(\left\{\begin{matrix}2x-3y=\frac{-208}{55}\\6x=y+\frac{-96}{55}\end{matrix}\right.\qquad V=\{(\frac{-1}{11},\frac{6}{5})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{-44}{7}+4x\\-x-3y=\frac{-43}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{6}{7})\}\)
10. \(\left\{\begin{matrix}-3x+4y=16\\x+5y=\frac{139}{6}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{9}{2})\}\)
11. \(\left\{\begin{matrix}3y=63+6x\\-x+y=13\end{matrix}\right.\qquad V=\{(-8,5)\}\)
12. \(\left\{\begin{matrix}-5y=\frac{-42}{5}+6x\\-x-y=\frac{-3}{2}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{3}{5})\}\)