Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-2y=\frac{301}{68}\\-x=-y+\frac{-229}{136}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-y=\frac{-21}{10}\\-2x=-4y+\frac{12}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{-51}{4}-x\\4x+2y=\frac{15}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{-39}{28}+3x\\-x-6y=\frac{-65}{28}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+6y=\frac{46}{7}\\4x-y=\frac{94}{21}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+5y=\frac{318}{65}\\-x-y=\frac{186}{65}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-2y=\frac{254}{35}\\-x=-y+\frac{-106}{35}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-3y=\frac{4}{3}\\-5x+2y=\frac{187}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-y=\frac{-1}{16}\\-3x+6y=\frac{75}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-y=\frac{4}{5}\\2x=-2y+\frac{6}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+4y=\frac{23}{5}\\x=y+\frac{1}{20}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-3y=-58\\-x=6y+-71\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-2y=\frac{301}{68}\\-x=-y+\frac{-229}{136}\end{matrix}\right.\qquad V=\{(\frac{18}{17},\frac{-5}{8})\}\)
2. \(\left\{\begin{matrix}x-y=\frac{-21}{10}\\-2x=-4y+\frac{12}{5}\end{matrix}\right.\qquad V=\{(-3,\frac{-9}{10})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{-51}{4}-x\\4x+2y=\frac{15}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{9}{4})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{-39}{28}+3x\\-x-6y=\frac{-65}{28}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{3}{7})\}\)
5. \(\left\{\begin{matrix}2x+6y=\frac{46}{7}\\4x-y=\frac{94}{21}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{2}{3})\}\)
6. \(\left\{\begin{matrix}-3x+5y=\frac{318}{65}\\-x-y=\frac{186}{65}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{-6}{13})\}\)
7. \(\left\{\begin{matrix}4x-2y=\frac{254}{35}\\-x=-y+\frac{-106}{35}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{-17}{7})\}\)
8. \(\left\{\begin{matrix}x-3y=\frac{4}{3}\\-5x+2y=\frac{187}{9}\end{matrix}\right.\qquad V=\{(-5,\frac{-19}{9})\}\)
9. \(\left\{\begin{matrix}-x-y=\frac{-1}{16}\\-3x+6y=\frac{75}{8}\end{matrix}\right.\qquad V=\{(-1,\frac{17}{16})\}\)
10. \(\left\{\begin{matrix}-2x-y=\frac{4}{5}\\2x=-2y+\frac{6}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},2)\}\)
11. \(\left\{\begin{matrix}4x+4y=\frac{23}{5}\\x=y+\frac{1}{20}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{11}{20})\}\)
12. \(\left\{\begin{matrix}-5x-3y=-58\\-x=6y+-71\end{matrix}\right.\qquad V=\{(5,11)\}\)