Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-5y=\frac{-83}{39}\\-x=5y+\frac{-62}{39}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-3y=\frac{851}{20}\\-x-2y=\frac{117}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{-23}{8}+4x\\6x-y=\frac{67}{16}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-3y=\frac{56}{5}\\-5x=3y+20\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-6y=\frac{-554}{35}\\4x-y=\frac{-76}{35}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x-6y=90\\x+y=-14\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{-44}{13}-x\\-6x+6y=\frac{264}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+4y=\frac{61}{24}\\3x=y+\frac{-139}{24}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{482}{45}+4x\\-x-6y=\frac{397}{30}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+3y=\frac{-143}{133}\\x=-y+\frac{-16}{133}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{-5}{33}-5x\\-2x+y=\frac{-53}{33}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+y=\frac{175}{19}\\5x=4y+\frac{535}{19}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-5y=\frac{-83}{39}\\-x=5y+\frac{-62}{39}\end{matrix}\right.\qquad V=\{(\frac{-1}{13},\frac{1}{3})\}\)
2. \(\left\{\begin{matrix}-4x-3y=\frac{851}{20}\\-x-2y=\frac{117}{10}\end{matrix}\right.\qquad V=\{(-10,\frac{-17}{20})\}\)
3. \(\left\{\begin{matrix}2y=\frac{-23}{8}+4x\\6x-y=\frac{67}{16}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{-1}{16})\}\)
4. \(\left\{\begin{matrix}-x-3y=\frac{56}{5}\\-5x=3y+20\end{matrix}\right.\qquad V=\{(\frac{-11}{5},-3)\}\)
5. \(\left\{\begin{matrix}-4x-6y=\frac{-554}{35}\\4x-y=\frac{-76}{35}\end{matrix}\right.\qquad V=\{(\frac{1}{10},\frac{18}{7})\}\)
6. \(\left\{\begin{matrix}-3x-6y=90\\x+y=-14\end{matrix}\right.\qquad V=\{(2,-16)\}\)
7. \(\left\{\begin{matrix}-y=\frac{-44}{13}-x\\-6x+6y=\frac{264}{13}\end{matrix}\right.\qquad V=\{(\frac{-5}{13},3)\}\)
8. \(\left\{\begin{matrix}3x+4y=\frac{61}{24}\\3x=y+\frac{-139}{24}\end{matrix}\right.\qquad V=\{(\frac{-11}{8},\frac{5}{3})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{482}{45}+4x\\-x-6y=\frac{397}{30}\end{matrix}\right.\qquad V=\{(\frac{1}{10},\frac{-20}{9})\}\)
10. \(\left\{\begin{matrix}-2x+3y=\frac{-143}{133}\\x=-y+\frac{-16}{133}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{-5}{19})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{-5}{33}-5x\\-2x+y=\frac{-53}{33}\end{matrix}\right.\qquad V=\{(\frac{18}{11},\frac{5}{3})\}\)
12. \(\left\{\begin{matrix}2x+y=\frac{175}{19}\\5x=4y+\frac{535}{19}\end{matrix}\right.\qquad V=\{(5,\frac{-15}{19})\}\)