Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-6y=\frac{-101}{16}\\x-y=\frac{7}{16}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{-51}{4}+5x\\-3x+3y=\frac{-69}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-4y=\frac{493}{30}\\x+2y=\frac{-529}{60}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-y=-44\\4x=-6y+104\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-4y=\frac{-26}{3}\\-x+4y=\frac{7}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-6y=\frac{71}{2}\\4x+y=\frac{-7}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+5y=\frac{-68}{19}\\x+2y=\frac{-142}{95}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{134}{17}-4x\\-x-y=\frac{-28}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+6y=\frac{136}{11}\\x-3y=\frac{-78}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+3y=\frac{-53}{20}\\2x-2y=\frac{31}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{32}{17}-5x\\-x-4y=\frac{-332}{51}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{-98}{45}+4x\\-x+6y=\frac{67}{30}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-6y=\frac{-101}{16}\\x-y=\frac{7}{16}\end{matrix}\right.\qquad V=\{(\frac{13}{16},\frac{3}{8})\}\)
2. \(\left\{\begin{matrix}y=\frac{-51}{4}+5x\\-3x+3y=\frac{-69}{4}\end{matrix}\right.\qquad V=\{(\frac{7}{4},-4)\}\)
3. \(\left\{\begin{matrix}6x-4y=\frac{493}{30}\\x+2y=\frac{-529}{60}\end{matrix}\right.\qquad V=\{(\frac{-3}{20},\frac{-13}{3})\}\)
4. \(\left\{\begin{matrix}-2x-y=-44\\4x=-6y+104\end{matrix}\right.\qquad V=\{(20,4)\}\)
5. \(\left\{\begin{matrix}4x-4y=\frac{-26}{3}\\-x+4y=\frac{7}{6}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-1}{3})\}\)
6. \(\left\{\begin{matrix}5x-6y=\frac{71}{2}\\4x+y=\frac{-7}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-11}{2})\}\)
7. \(\left\{\begin{matrix}4x+5y=\frac{-68}{19}\\x+2y=\frac{-142}{95}\end{matrix}\right.\qquad V=\{(\frac{2}{19},\frac{-4}{5})\}\)
8. \(\left\{\begin{matrix}6y=\frac{134}{17}-4x\\-x-y=\frac{-28}{17}\end{matrix}\right.\qquad V=\{(1,\frac{11}{17})\}\)
9. \(\left\{\begin{matrix}-4x+6y=\frac{136}{11}\\x-3y=\frac{-78}{11}\end{matrix}\right.\qquad V=\{(\frac{10}{11},\frac{8}{3})\}\)
10. \(\left\{\begin{matrix}-x+3y=\frac{-53}{20}\\2x-2y=\frac{31}{10}\end{matrix}\right.\qquad V=\{(1,\frac{-11}{20})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{32}{17}-5x\\-x-4y=\frac{-332}{51}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{4}{3})\}\)
12. \(\left\{\begin{matrix}4y=\frac{-98}{45}+4x\\-x+6y=\frac{67}{30}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{5}{9})\}\)