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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{-41}{34}+3x\\-2x+y=\frac{-29}{51}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+5y=\frac{232}{13}\\x+2y=\frac{111}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{86}{35}+x\\-3x+3y=\frac{-12}{35}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+6y=\frac{-43}{7}\\-x-2y=\frac{-47}{42}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+5y=\frac{2585}{304}\\5x=y+\frac{-1733}{304}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-y=\frac{49}{6}\\-3x-2y=\frac{17}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+4y=\frac{-102}{55}\\-2x+y=\frac{-3}{55}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-2y=\frac{-25}{13}\\x-5y=\frac{163}{26}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-3y=\frac{-280}{33}\\x=y+\frac{-118}{99}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{177}{10}+6x\\5x-y=1\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+4y=\frac{379}{5}\\6x=5y+\frac{-469}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-3y=\frac{-13}{5}\\-x=2y+\frac{-41}{30}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{-41}{34}+3x\\-2x+y=\frac{-29}{51}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{-4}{17})\}\)
2. \(\left\{\begin{matrix}-4x+5y=\frac{232}{13}\\x+2y=\frac{111}{13}\end{matrix}\right.\qquad V=\{(\frac{7}{13},4)\}\)
3. \(\left\{\begin{matrix}3y=\frac{86}{35}+x\\-3x+3y=\frac{-12}{35}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{9}{7})\}\)
4. \(\left\{\begin{matrix}6x+6y=\frac{-43}{7}\\-x-2y=\frac{-47}{42}\end{matrix}\right.\qquad V=\{(\frac{-19}{6},\frac{15}{7})\}\)
5. \(\left\{\begin{matrix}-6x+5y=\frac{2585}{304}\\5x=y+\frac{-1733}{304}\end{matrix}\right.\qquad V=\{(\frac{-20}{19},\frac{7}{16})\}\)
6. \(\left\{\begin{matrix}3x-y=\frac{49}{6}\\-3x-2y=\frac{17}{6}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-11}{3})\}\)
7. \(\left\{\begin{matrix}-2x+4y=\frac{-102}{55}\\-2x+y=\frac{-3}{55}\end{matrix}\right.\qquad V=\{(\frac{-3}{11},\frac{-3}{5})\}\)
8. \(\left\{\begin{matrix}4x-2y=\frac{-25}{13}\\x-5y=\frac{163}{26}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{-3}{2})\}\)
9. \(\left\{\begin{matrix}6x-3y=\frac{-280}{33}\\x=y+\frac{-118}{99}\end{matrix}\right.\qquad V=\{(\frac{-18}{11},\frac{-4}{9})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{177}{10}+6x\\5x-y=1\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{-9}{2})\}\)
11. \(\left\{\begin{matrix}-x+4y=\frac{379}{5}\\6x=5y+\frac{-469}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{5},19)\}\)
12. \(\left\{\begin{matrix}4x-3y=\frac{-13}{5}\\-x=2y+\frac{-41}{30}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{11}{15})\}\)