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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+2y=\frac{356}{63}\\x=-y+\frac{178}{63}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-3y=\frac{-802}{65}\\-x-y=\frac{218}{65}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{80}{7}+6x\\x-y=\frac{-13}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{-419}{126}+2x\\-4x-5y=\frac{-299}{126}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+6y=\frac{-698}{17}\\4x-6y=\frac{650}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+2y=-6\\-x-y=\frac{8}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-2y=\frac{-63}{8}\\4x-6y=\frac{-47}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+y=0\\2x=-6y+-24\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-3y=\frac{3}{26}\\-2x+y=\frac{41}{26}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-6y=\frac{8}{35}\\-x+y=\frac{1}{35}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+2y=-4\\3x-y=\frac{23}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{26}{5}-4x\\-4x-y=\frac{-17}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+2y=\frac{356}{63}\\x=-y+\frac{178}{63}\end{matrix}\right.\qquad V=\{(\frac{19}{7},\frac{1}{9})\}\)
2. \(\left\{\begin{matrix}4x-3y=\frac{-802}{65}\\-x-y=\frac{218}{65}\end{matrix}\right.\qquad V=\{(\frac{-16}{5},\frac{-2}{13})\}\)
3. \(\left\{\begin{matrix}4y=\frac{80}{7}+6x\\x-y=\frac{-13}{7}\end{matrix}\right.\qquad V=\{(-2,\frac{-1}{7})\}\)
4. \(\left\{\begin{matrix}y=\frac{-419}{126}+2x\\-4x-5y=\frac{-299}{126}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{-11}{18})\}\)
5. \(\left\{\begin{matrix}-x+6y=\frac{-698}{17}\\4x-6y=\frac{650}{17}\end{matrix}\right.\qquad V=\{(\frac{-16}{17},-7)\}\)
6. \(\left\{\begin{matrix}6x+2y=-6\\-x-y=\frac{8}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{-5}{2})\}\)
7. \(\left\{\begin{matrix}x-2y=\frac{-63}{8}\\4x-6y=\frac{-47}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{8},4)\}\)
8. \(\left\{\begin{matrix}-3x+y=0\\2x=-6y+-24\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-18}{5})\}\)
9. \(\left\{\begin{matrix}-3x-3y=\frac{3}{26}\\-2x+y=\frac{41}{26}\end{matrix}\right.\qquad V=\{(\frac{-7}{13},\frac{1}{2})\}\)
10. \(\left\{\begin{matrix}2x-6y=\frac{8}{35}\\-x+y=\frac{1}{35}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{-1}{14})\}\)
11. \(\left\{\begin{matrix}-5x+2y=-4\\3x-y=\frac{23}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{-1}{2})\}\)
12. \(\left\{\begin{matrix}4y=\frac{26}{5}-4x\\-4x-y=\frac{-17}{10}\end{matrix}\right.\qquad V=\{(\frac{2}{15},\frac{7}{6})\}\)