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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+2y=\frac{-895}{119}\\-6x+y=\frac{-1748}{119}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+6y=\frac{231}{13}\\x-3y=\frac{-63}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-3y=\frac{-131}{2}\\-x=y+\frac{-91}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3y=\frac{38}{5}+4x\\x-y=\frac{-13}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+3y=-32\\-3x-y=\frac{149}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-y=\frac{-57}{2}\\3x-2y=3\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{39}{10}-x\\-5x+6y=\frac{-73}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=\frac{216}{17}-5x\\x-2y=\frac{-52}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-6y=\frac{732}{65}\\x+4y=\frac{422}{65}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-6y=\frac{553}{72}\\-5x=y+\frac{251}{144}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-4y=\frac{-451}{84}\\2x-y=\frac{137}{42}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+4y=9\\-3x=y+\frac{-12}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+2y=\frac{-895}{119}\\-6x+y=\frac{-1748}{119}\end{matrix}\right.\qquad V=\{(\frac{17}{7},\frac{-2}{17})\}\)
2. \(\left\{\begin{matrix}5x+6y=\frac{231}{13}\\x-3y=\frac{-63}{13}\end{matrix}\right.\qquad V=\{(\frac{15}{13},2)\}\)
3. \(\left\{\begin{matrix}-6x-3y=\frac{-131}{2}\\-x=y+\frac{-91}{6}\end{matrix}\right.\qquad V=\{(\frac{20}{3},\frac{17}{2})\}\)
4. \(\left\{\begin{matrix}-3y=\frac{38}{5}+4x\\x-y=\frac{-13}{5}\end{matrix}\right.\qquad V=\{(\frac{-11}{5},\frac{2}{5})\}\)
5. \(\left\{\begin{matrix}4x+3y=-32\\-3x-y=\frac{149}{6}\end{matrix}\right.\qquad V=\{(\frac{-17}{2},\frac{2}{3})\}\)
6. \(\left\{\begin{matrix}-6x-y=\frac{-57}{2}\\3x-2y=3\end{matrix}\right.\qquad V=\{(4,\frac{9}{2})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{39}{10}-x\\-5x+6y=\frac{-73}{5}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-7}{20})\}\)
8. \(\left\{\begin{matrix}4y=\frac{216}{17}-5x\\x-2y=\frac{-52}{17}\end{matrix}\right.\qquad V=\{(\frac{16}{17},2)\}\)
9. \(\left\{\begin{matrix}6x-6y=\frac{732}{65}\\x+4y=\frac{422}{65}\end{matrix}\right.\qquad V=\{(\frac{14}{5},\frac{12}{13})\}\)
10. \(\left\{\begin{matrix}-5x-6y=\frac{553}{72}\\-5x=y+\frac{251}{144}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{-19}{16})\}\)
11. \(\left\{\begin{matrix}-5x-4y=\frac{-451}{84}\\2x-y=\frac{137}{42}\end{matrix}\right.\qquad V=\{(\frac{17}{12},\frac{-3}{7})\}\)
12. \(\left\{\begin{matrix}-3x+4y=9\\-3x=y+\frac{-12}{7}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{15}{7})\}\)