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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+2y=\frac{-199}{80}\\-x+3y=\frac{-1}{80}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6y=\frac{-219}{11}+3x\\-6x-y=\frac{-339}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{23}{33}-5x\\x-y=\frac{-241}{165}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-6y=\frac{194}{65}\\-x+2y=\frac{22}{65}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{295}{28}+5x\\x-4y=\frac{-41}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+5y=-99\\x-6y=-37\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-4y=\frac{169}{35}\\x=3y+\frac{-22}{35}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+3y=\frac{-795}{119}\\2x=y+\frac{321}{119}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{289}{44}-5x\\-x-5y=\frac{-185}{176}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{-154}{3}-3x\\2x-y=\frac{-278}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{-16}{9}+x\\4x-6y=\frac{-2}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{26}{5}+6x\\-2x+y=\frac{12}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+2y=\frac{-199}{80}\\-x+3y=\frac{-1}{80}\end{matrix}\right.\qquad V=\{(\frac{-7}{16},\frac{-3}{20})\}\)
2. \(\left\{\begin{matrix}-6y=\frac{-219}{11}+3x\\-6x-y=\frac{-339}{11}\end{matrix}\right.\qquad V=\{(5,\frac{9}{11})\}\)
3. \(\left\{\begin{matrix}6y=\frac{23}{33}-5x\\x-y=\frac{-241}{165}\end{matrix}\right.\qquad V=\{(\frac{-11}{15},\frac{8}{11})\}\)
4. \(\left\{\begin{matrix}-2x-6y=\frac{194}{65}\\-x+2y=\frac{22}{65}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-3}{13})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{295}{28}+5x\\x-4y=\frac{-41}{7}\end{matrix}\right.\qquad V=\{(\frac{-20}{7},\frac{3}{4})\}\)
6. \(\left\{\begin{matrix}6x+5y=-99\\x-6y=-37\end{matrix}\right.\qquad V=\{(-19,3)\}\)
7. \(\left\{\begin{matrix}-2x-4y=\frac{169}{35}\\x=3y+\frac{-22}{35}\end{matrix}\right.\qquad V=\{(\frac{-17}{10},\frac{-5}{14})\}\)
8. \(\left\{\begin{matrix}-4x+3y=\frac{-795}{119}\\2x=y+\frac{321}{119}\end{matrix}\right.\qquad V=\{(\frac{12}{17},\frac{-9}{7})\}\)
9. \(\left\{\begin{matrix}4y=\frac{289}{44}-5x\\-x-5y=\frac{-185}{176}\end{matrix}\right.\qquad V=\{(\frac{15}{11},\frac{-1}{16})\}\)
10. \(\left\{\begin{matrix}3y=\frac{-154}{3}-3x\\2x-y=\frac{-278}{9}\end{matrix}\right.\qquad V=\{(-16,\frac{-10}{9})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{-16}{9}+x\\4x-6y=\frac{-2}{9}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{1}{3})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{26}{5}+6x\\-2x+y=\frac{12}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{2}{5})\}\)