Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+2y=\frac{491}{120}\\-x=6y+\frac{-121}{120}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-3y=\frac{69}{26}\\-x=-4y+\frac{44}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-5y=\frac{401}{12}\\-4x+6y=\frac{-106}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-4y=\frac{67}{2}\\-4x+y=1\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{63}{4}-6x\\-x-y=\frac{-15}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{52}{35}+x\\-4x+6y=\frac{-254}{35}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x-3y=13\\-x=4y+\frac{2}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-2y=\frac{11}{63}\\-6x+5y=\frac{130}{63}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+5y=\frac{17}{3}\\3x-y=\frac{119}{30}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{25}{6}-3x\\-5x+6y=2\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-5y=\frac{-83}{42}\\-5x+y=\frac{1}{84}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-5}{18}+x\\2x-6y=-1\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+2y=\frac{491}{120}\\-x=6y+\frac{-121}{120}\end{matrix}\right.\qquad V=\{(\frac{-13}{15},\frac{5}{16})\}\)
2. \(\left\{\begin{matrix}-3x-3y=\frac{69}{26}\\-x=-4y+\frac{44}{13}\end{matrix}\right.\qquad V=\{(\frac{-18}{13},\frac{1}{2})\}\)
3. \(\left\{\begin{matrix}-x-5y=\frac{401}{12}\\-4x+6y=\frac{-106}{3}\end{matrix}\right.\qquad V=\{(\frac{-11}{12},\frac{-13}{2})\}\)
4. \(\left\{\begin{matrix}6x-4y=\frac{67}{2}\\-4x+y=1\end{matrix}\right.\qquad V=\{(\frac{-15}{4},-14)\}\)
5. \(\left\{\begin{matrix}3y=\frac{63}{4}-6x\\-x-y=\frac{-15}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{9}{4})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{52}{35}+x\\-4x+6y=\frac{-254}{35}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{-11}{15})\}\)
7. \(\left\{\begin{matrix}3x-3y=13\\-x=4y+\frac{2}{3}\end{matrix}\right.\qquad V=\{(\frac{10}{3},-1)\}\)
8. \(\left\{\begin{matrix}x-2y=\frac{11}{63}\\-6x+5y=\frac{130}{63}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{-4}{9})\}\)
9. \(\left\{\begin{matrix}2x+5y=\frac{17}{3}\\3x-y=\frac{119}{30}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{8}{15})\}\)
10. \(\left\{\begin{matrix}y=\frac{25}{6}-3x\\-5x+6y=2\end{matrix}\right.\qquad V=\{(1,\frac{7}{6})\}\)
11. \(\left\{\begin{matrix}2x-5y=\frac{-83}{42}\\-5x+y=\frac{1}{84}\end{matrix}\right.\qquad V=\{(\frac{1}{12},\frac{3}{7})\}\)
12. \(\left\{\begin{matrix}5y=\frac{-5}{18}+x\\2x-6y=-1\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-7}{18})\}\)