Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{224}{5}+4x\\-x-4y=\frac{98}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{51}{13}-x\\6x+4y=\frac{-174}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{-563}{99}+2x\\-2x+y=\frac{-95}{99}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+y=\frac{173}{60}\\6x+3y=\frac{29}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{-53}{40}+3x\\2x+2y=\frac{61}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{24}{7}-6x\\-x+y=\frac{-20}{21}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-4y=\frac{153}{26}\\-4x=y+\frac{-323}{104}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+4y=12\\x-6y=\frac{-197}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+2y=\frac{122}{3}\\-3x+y=\frac{88}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-3y=\frac{141}{35}\\x=-3y+\frac{-233}{70}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=-26-4x\\-5x-y=23\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-4y=\frac{64}{9}\\x+2y=\frac{-2}{9}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{224}{5}+4x\\-x-4y=\frac{98}{5}\end{matrix}\right.\qquad V=\{(-10,\frac{-12}{5})\}\)
2. \(\left\{\begin{matrix}6y=\frac{51}{13}-x\\6x+4y=\frac{-174}{13}\end{matrix}\right.\qquad V=\{(-3,\frac{15}{13})\}\)
3. \(\left\{\begin{matrix}5y=\frac{-563}{99}+2x\\-2x+y=\frac{-95}{99}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{-13}{11})\}\)
4. \(\left\{\begin{matrix}-6x+y=\frac{173}{60}\\6x+3y=\frac{29}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{13}{12})\}\)
5. \(\left\{\begin{matrix}-y=\frac{-53}{40}+3x\\2x+2y=\frac{61}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{13}{8})\}\)
6. \(\left\{\begin{matrix}2y=\frac{24}{7}-6x\\-x+y=\frac{-20}{21}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-2}{7})\}\)
7. \(\left\{\begin{matrix}-2x-4y=\frac{153}{26}\\-4x=y+\frac{-323}{104}\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{-17}{8})\}\)
8. \(\left\{\begin{matrix}5x+4y=12\\x-6y=\frac{-197}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{13}{4})\}\)
9. \(\left\{\begin{matrix}-4x+2y=\frac{122}{3}\\-3x+y=\frac{88}{3}\end{matrix}\right.\qquad V=\{(-9,\frac{7}{3})\}\)
10. \(\left\{\begin{matrix}6x-3y=\frac{141}{35}\\x=-3y+\frac{-233}{70}\end{matrix}\right.\qquad V=\{(\frac{1}{10},\frac{-8}{7})\}\)
11. \(\left\{\begin{matrix}-3y=-26-4x\\-5x-y=23\end{matrix}\right.\qquad V=\{(-5,2)\}\)
12. \(\left\{\begin{matrix}4x-4y=\frac{64}{9}\\x+2y=\frac{-2}{9}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{-2}{3})\}\)