Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{-17}{3}-3x\\x+5y=\frac{34}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-4y=\frac{-194}{11}\\-6x=y+\frac{397}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+2y=\frac{92}{33}\\-x+6y=\frac{-208}{33}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-2y=\frac{3}{2}\\-x-4y=\frac{-1}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-4y=\frac{229}{28}\\-3x-y=\frac{-169}{56}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-2y=\frac{-41}{4}\\-x=y+\frac{-55}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{-3}{40}+x\\-2x+3y=\frac{33}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+3y=\frac{280}{19}\\-x-6y=\frac{-511}{76}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{32}{15}-x\\-4x-3y=\frac{-26}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+2y=\frac{26}{5}\\-4x+y=\frac{2}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{-25}{11}-3x\\3x-6y=\frac{-4}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+3y=\frac{-66}{5}\\4x-y=\frac{13}{5}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{-17}{3}-3x\\x+5y=\frac{34}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{7}{3})\}\)
2. \(\left\{\begin{matrix}3x-4y=\frac{-194}{11}\\-6x=y+\frac{397}{11}\end{matrix}\right.\qquad V=\{(-6,\frac{-1}{11})\}\)
3. \(\left\{\begin{matrix}-4x+2y=\frac{92}{33}\\-x+6y=\frac{-208}{33}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-14}{11})\}\)
4. \(\left\{\begin{matrix}-3x-2y=\frac{3}{2}\\-x-4y=\frac{-1}{2}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{3}{10})\}\)
5. \(\left\{\begin{matrix}6x-4y=\frac{229}{28}\\-3x-y=\frac{-169}{56}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{-5}{14})\}\)
6. \(\left\{\begin{matrix}2x-2y=\frac{-41}{4}\\-x=y+\frac{-55}{8}\end{matrix}\right.\qquad V=\{(\frac{7}{8},6)\}\)
7. \(\left\{\begin{matrix}6y=\frac{-3}{40}+x\\-2x+3y=\frac{33}{20}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{-1}{5})\}\)
8. \(\left\{\begin{matrix}4x+3y=\frac{280}{19}\\-x-6y=\frac{-511}{76}\end{matrix}\right.\qquad V=\{(\frac{13}{4},\frac{11}{19})\}\)
9. \(\left\{\begin{matrix}2y=\frac{32}{15}-x\\-4x-3y=\frac{-26}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{2}{3})\}\)
10. \(\left\{\begin{matrix}3x+2y=\frac{26}{5}\\-4x+y=\frac{2}{5}\end{matrix}\right.\qquad V=\{(\frac{2}{5},2)\}\)
11. \(\left\{\begin{matrix}y=\frac{-25}{11}-3x\\3x-6y=\frac{-4}{11}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-3}{11})\}\)
12. \(\left\{\begin{matrix}-3x+3y=\frac{-66}{5}\\4x-y=\frac{13}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},-5)\}\)