Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+5y=\frac{9}{26}\\-4x+y=\frac{-199}{130}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+y=\frac{-33}{4}\\6x=-6y+\frac{9}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{221}{60}-x\\3x+6y=\frac{73}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+2y=\frac{-23}{3}\\-2x=y+\frac{25}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-y=\frac{123}{20}\\-2x-4y=\frac{81}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+y=\frac{-9}{19}\\-5x=-6y+\frac{-61}{19}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-y=-13\\4x=-6y+14\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-y=\frac{-17}{3}\\2x=3y+\frac{-19}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+5y=-10\\2x-y=\frac{9}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-3y=\frac{-39}{4}\\x=4y+\frac{-7}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{-77}{8}-6x\\-x+5y=\frac{55}{24}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{-57}{11}-2x\\-x+6y=\frac{-251}{22}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+5y=\frac{9}{26}\\-4x+y=\frac{-199}{130}\end{matrix}\right.\qquad V=\{(\frac{4}{13},\frac{-3}{10})\}\)
2. \(\left\{\begin{matrix}-5x+y=\frac{-33}{4}\\6x=-6y+\frac{9}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-3}{4})\}\)
3. \(\left\{\begin{matrix}3y=\frac{221}{60}-x\\3x+6y=\frac{73}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{15},\frac{5}{4})\}\)
4. \(\left\{\begin{matrix}-2x+2y=\frac{-23}{3}\\-2x=y+\frac{25}{3}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-16}{3})\}\)
5. \(\left\{\begin{matrix}x-y=\frac{123}{20}\\-2x-4y=\frac{81}{10}\end{matrix}\right.\qquad V=\{(\frac{11}{4},\frac{-17}{5})\}\)
6. \(\left\{\begin{matrix}-2x+y=\frac{-9}{19}\\-5x=-6y+\frac{-61}{19}\end{matrix}\right.\qquad V=\{(\frac{-1}{19},\frac{-11}{19})\}\)
7. \(\left\{\begin{matrix}-6x-y=-13\\4x=-6y+14\end{matrix}\right.\qquad V=\{(2,1)\}\)
8. \(\left\{\begin{matrix}2x-y=\frac{-17}{3}\\2x=3y+\frac{-19}{3}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{1}{3})\}\)
9. \(\left\{\begin{matrix}-5x+5y=-10\\2x-y=\frac{9}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{1}{2})\}\)
10. \(\left\{\begin{matrix}3x-3y=\frac{-39}{4}\\x=4y+\frac{-7}{2}\end{matrix}\right.\qquad V=\{(\frac{-19}{6},\frac{1}{12})\}\)
11. \(\left\{\begin{matrix}3y=\frac{-77}{8}-6x\\-x+5y=\frac{55}{24}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{1}{8})\}\)
12. \(\left\{\begin{matrix}4y=\frac{-57}{11}-2x\\-x+6y=\frac{-251}{22}\end{matrix}\right.\qquad V=\{(\frac{10}{11},\frac{-7}{4})\}\)