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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{146}{17}-3x\\-x+4y=\frac{-93}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+2y=\frac{-28}{11}\\3x+y=\frac{-109}{22}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{-332}{17}+4x\\-x+y=\frac{155}{17}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+6y=\frac{270}{119}\\-2x-y=\frac{74}{119}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{11}{4}+3x\\x-6y=0\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+y=\frac{49}{55}\\5x+2y=\frac{-179}{44}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-4y=\frac{184}{5}\\x+5y=2\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+5y=\frac{-805}{72}\\x=y+\frac{161}{72}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-y=\frac{43}{22}\\5x=-6y+\frac{156}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{53}{5}-x\\3x+4y=\frac{111}{20}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-6y=\frac{284}{7}\\-x=2y+\frac{284}{21}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-y=\frac{11}{8}\\4x=-4y+\frac{-11}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{146}{17}-3x\\-x+4y=\frac{-93}{17}\end{matrix}\right.\qquad V=\{(1,\frac{-19}{17})\}\)
2. \(\left\{\begin{matrix}-3x+2y=\frac{-28}{11}\\3x+y=\frac{-109}{22}\end{matrix}\right.\qquad V=\{(\frac{-9}{11},\frac{-5}{2})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{-332}{17}+4x\\-x+y=\frac{155}{17}\end{matrix}\right.\qquad V=\{(\frac{-19}{17},8)\}\)
4. \(\left\{\begin{matrix}-2x+6y=\frac{270}{119}\\-2x-y=\frac{74}{119}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{4}{17})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{11}{4}+3x\\x-6y=0\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-1}{8})\}\)
6. \(\left\{\begin{matrix}-4x+y=\frac{49}{55}\\5x+2y=\frac{-179}{44}\end{matrix}\right.\qquad V=\{(\frac{-9}{20},\frac{-10}{11})\}\)
7. \(\left\{\begin{matrix}4x-4y=\frac{184}{5}\\x+5y=2\end{matrix}\right.\qquad V=\{(8,\frac{-6}{5})\}\)
8. \(\left\{\begin{matrix}-5x+5y=\frac{-805}{72}\\x=y+\frac{161}{72}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{-10}{9})\}\)
9. \(\left\{\begin{matrix}-4x-y=\frac{43}{22}\\5x=-6y+\frac{156}{11}\end{matrix}\right.\qquad V=\{(\frac{-15}{11},\frac{7}{2})\}\)
10. \(\left\{\begin{matrix}6y=\frac{53}{5}-x\\3x+4y=\frac{111}{20}\end{matrix}\right.\qquad V=\{(\frac{-13}{20},\frac{15}{8})\}\)
11. \(\left\{\begin{matrix}-3x-6y=\frac{284}{7}\\-x=2y+\frac{284}{21}\end{matrix}\right.\qquad V=\{(\frac{-20}{7},\frac{-16}{3})\}\)
12. \(\left\{\begin{matrix}-x-y=\frac{11}{8}\\4x=-4y+\frac{-11}{2}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{-5}{2})\}\)