Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{341}{4}-x\\-5x-6y=\frac{-413}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+y=-14\\-2x=-3y+-59\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+2y=\frac{43}{18}\\-3x-y=\frac{-121}{36}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+2y=\frac{-122}{45}\\x-y=\frac{-74}{45}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+2y=\frac{144}{55}\\x+5y=\frac{-26}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-5y=\frac{43}{15}\\-4x-y=\frac{59}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-y=\frac{-149}{6}\\-2x-5y=\frac{71}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{73}{4}+3x\\x-6y=\frac{-37}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-3y=\frac{17}{2}\\-6x=-5y+\frac{-37}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-6y=\frac{67}{7}\\-5x-y=\frac{32}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{208}{15}+6x\\-6x+y=\frac{374}{45}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+y=\frac{-295}{44}\\2x+6y=\frac{-307}{44}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{341}{4}-x\\-5x-6y=\frac{-413}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{4},17)\}\)
2. \(\left\{\begin{matrix}5x+y=-14\\-2x=-3y+-59\end{matrix}\right.\qquad V=\{(1,-19)\}\)
3. \(\left\{\begin{matrix}2x+2y=\frac{43}{18}\\-3x-y=\frac{-121}{36}\end{matrix}\right.\qquad V=\{(\frac{13}{12},\frac{1}{9})\}\)
4. \(\left\{\begin{matrix}3x+2y=\frac{-122}{45}\\x-y=\frac{-74}{45}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{4}{9})\}\)
5. \(\left\{\begin{matrix}6x+2y=\frac{144}{55}\\x+5y=\frac{-26}{11}\end{matrix}\right.\qquad V=\{(\frac{7}{11},\frac{-3}{5})\}\)
6. \(\left\{\begin{matrix}-2x-5y=\frac{43}{15}\\-4x-y=\frac{59}{15}\end{matrix}\right.\qquad V=\{(\frac{-14}{15},\frac{-1}{5})\}\)
7. \(\left\{\begin{matrix}6x-y=\frac{-149}{6}\\-2x-5y=\frac{71}{6}\end{matrix}\right.\qquad V=\{(\frac{-17}{4},\frac{-2}{3})\}\)
8. \(\left\{\begin{matrix}5y=\frac{73}{4}+3x\\x-6y=\frac{-37}{10}\end{matrix}\right.\qquad V=\{(-7,\frac{-11}{20})\}\)
9. \(\left\{\begin{matrix}x-3y=\frac{17}{2}\\-6x=-5y+\frac{-37}{2}\end{matrix}\right.\qquad V=\{(1,\frac{-5}{2})\}\)
10. \(\left\{\begin{matrix}-5x-6y=\frac{67}{7}\\-5x-y=\frac{32}{7}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},-1)\}\)
11. \(\left\{\begin{matrix}6y=\frac{208}{15}+6x\\-6x+y=\frac{374}{45}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{10}{9})\}\)
12. \(\left\{\begin{matrix}-6x+y=\frac{-295}{44}\\2x+6y=\frac{-307}{44}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{-16}{11})\}\)