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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{-23}{2}+x\\-6x+4y=\frac{-33}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6y=\frac{334}{19}-3x\\6x+y=\frac{-685}{114}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+2y=\frac{163}{12}\\-5x-y=\frac{313}{24}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+2y=\frac{-17}{28}\\-x+5y=\frac{-247}{112}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+y=\frac{599}{18}\\-5x-6y=\frac{98}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+3y=\frac{-35}{24}\\-x+y=\frac{35}{24}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+3y=\frac{-38}{5}\\4x=3y+\frac{143}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+2y=\frac{-229}{66}\\6x=6y+\frac{109}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{-224}{13}+x\\4x+5y=\frac{350}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-5y=-38\\5x=-y+3\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+3y=\frac{-5}{4}\\4x=-y+\frac{13}{30}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+6y=1\\-x=-y+2\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{-23}{2}+x\\-6x+4y=\frac{-33}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-12}{5})\}\)
2. \(\left\{\begin{matrix}-6y=\frac{334}{19}-3x\\6x+y=\frac{-685}{114}\end{matrix}\right.\qquad V=\{(\frac{-9}{19},\frac{-19}{6})\}\)
3. \(\left\{\begin{matrix}-4x+2y=\frac{163}{12}\\-5x-y=\frac{313}{24}\end{matrix}\right.\qquad V=\{(\frac{-17}{6},\frac{9}{8})\}\)
4. \(\left\{\begin{matrix}4x+2y=\frac{-17}{28}\\-x+5y=\frac{-247}{112}\end{matrix}\right.\qquad V=\{(\frac{1}{16},\frac{-3}{7})\}\)
5. \(\left\{\begin{matrix}-6x+y=\frac{599}{18}\\-5x-6y=\frac{98}{3}\end{matrix}\right.\qquad V=\{(\frac{-17}{3},\frac{-13}{18})\}\)
6. \(\left\{\begin{matrix}4x+3y=\frac{-35}{24}\\-x+y=\frac{35}{24}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{5}{8})\}\)
7. \(\left\{\begin{matrix}-x+3y=\frac{-38}{5}\\4x=3y+\frac{143}{5}\end{matrix}\right.\qquad V=\{(7,\frac{-1}{5})\}\)
8. \(\left\{\begin{matrix}-x+2y=\frac{-229}{66}\\6x=6y+\frac{109}{11}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{-20}{11})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{-224}{13}+x\\4x+5y=\frac{350}{13}\end{matrix}\right.\qquad V=\{(\frac{-10}{13},6)\}\)
10. \(\left\{\begin{matrix}-2x-5y=-38\\5x=-y+3\end{matrix}\right.\qquad V=\{(-1,8)\}\)
11. \(\left\{\begin{matrix}-5x+3y=\frac{-5}{4}\\4x=-y+\frac{13}{30}\end{matrix}\right.\qquad V=\{(\frac{3}{20},\frac{-1}{6})\}\)
12. \(\left\{\begin{matrix}5x+6y=1\\-x=-y+2\end{matrix}\right.\qquad V=\{(-1,1)\}\)