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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{23}{5}-6x\\6x-3y=5\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+2y=\frac{46}{15}\\x=-4y+\frac{-131}{30}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-4y=\frac{-91}{15}\\2x=-y+\frac{161}{30}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-4y=\frac{-33}{13}\\5x+6y=\frac{95}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x-4y=\frac{131}{30}\\4x=-y+\frac{-14}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{251}{21}-5x\\4x+y=\frac{-26}{21}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+6y=\frac{-463}{19}\\2x=6y+\frac{442}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+6y=\frac{-1}{5}\\x-y=\frac{1}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-y=\frac{-203}{16}\\-5x+2y=\frac{-109}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{8}{9}-2x\\x-2y=\frac{16}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-4y=15\\-2x-y=\frac{11}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{28}{85}+2x\\-x-2y=\frac{133}{85}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{23}{5}-6x\\6x-3y=5\end{matrix}\right.\qquad V=\{(\frac{11}{15},\frac{-1}{5})\}\)
2. \(\left\{\begin{matrix}-4x+2y=\frac{46}{15}\\x=-4y+\frac{-131}{30}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{-4}{5})\}\)
3. \(\left\{\begin{matrix}6x-4y=\frac{-91}{15}\\2x=-y+\frac{161}{30}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{19}{6})\}\)
4. \(\left\{\begin{matrix}-x-4y=\frac{-33}{13}\\5x+6y=\frac{95}{13}\end{matrix}\right.\qquad V=\{(1,\frac{5}{13})\}\)
5. \(\left\{\begin{matrix}-3x-4y=\frac{131}{30}\\4x=-y+\frac{-14}{3}\end{matrix}\right.\qquad V=\{(\frac{-11}{10},\frac{-4}{15})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{251}{21}-5x\\4x+y=\frac{-26}{21}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-18}{7})\}\)
7. \(\left\{\begin{matrix}x+6y=\frac{-463}{19}\\2x=6y+\frac{442}{19}\end{matrix}\right.\qquad V=\{(\frac{-7}{19},-4)\}\)
8. \(\left\{\begin{matrix}-5x+6y=\frac{-1}{5}\\x-y=\frac{1}{5}\end{matrix}\right.\qquad V=\{(1,\frac{4}{5})\}\)
9. \(\left\{\begin{matrix}-4x-y=\frac{-203}{16}\\-5x+2y=\frac{-109}{8}\end{matrix}\right.\qquad V=\{(3,\frac{11}{16})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{8}{9}-2x\\x-2y=\frac{16}{9}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{-4}{3})\}\)
11. \(\left\{\begin{matrix}-6x-4y=15\\-2x-y=\frac{11}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{6},-4)\}\)
12. \(\left\{\begin{matrix}3y=\frac{28}{85}+2x\\-x-2y=\frac{133}{85}\end{matrix}\right.\qquad V=\{(\frac{-13}{17},\frac{-2}{5})\}\)