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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+4y=\frac{-33}{52}\\-4x+y=\frac{106}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-y=\frac{35}{34}\\-3x-2y=\frac{22}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-4y=\frac{83}{40}\\-x-y=\frac{39}{80}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-6y=\frac{-162}{17}\\-6x+y=\frac{-103}{17}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{-187}{18}+3x\\x-3y=\frac{43}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-6y=\frac{-149}{10}\\x=4y+\frac{-2}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=\frac{-95}{39}+x\\4x+6y=\frac{148}{65}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-28}{9}+2x\\2x+y=\frac{5}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{-73}{6}-4x\\4x+y=\frac{-239}{30}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-6y=\frac{146}{15}\\x-6y=\frac{152}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{88}{5}+x\\5x-3y=\frac{-897}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-5y=\frac{25}{12}\\-x-6y=\frac{17}{12}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+4y=\frac{-33}{52}\\-4x+y=\frac{106}{13}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{15}{13})\}\)
2. \(\left\{\begin{matrix}-2x-y=\frac{35}{34}\\-3x-2y=\frac{22}{17}\end{matrix}\right.\qquad V=\{(\frac{-13}{17},\frac{1}{2})\}\)
3. \(\left\{\begin{matrix}-2x-4y=\frac{83}{40}\\-x-y=\frac{39}{80}\end{matrix}\right.\qquad V=\{(\frac{1}{16},\frac{-11}{20})\}\)
4. \(\left\{\begin{matrix}-3x-6y=\frac{-162}{17}\\-6x+y=\frac{-103}{17}\end{matrix}\right.\qquad V=\{(\frac{20}{17},1)\}\)
5. \(\left\{\begin{matrix}4y=\frac{-187}{18}+3x\\x-3y=\frac{43}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-20}{9})\}\)
6. \(\left\{\begin{matrix}-4x-6y=\frac{-149}{10}\\x=4y+\frac{-2}{5}\end{matrix}\right.\qquad V=\{(\frac{13}{5},\frac{3}{4})\}\)
7. \(\left\{\begin{matrix}-5y=\frac{-95}{39}+x\\4x+6y=\frac{148}{65}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},\frac{8}{15})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-28}{9}+2x\\2x+y=\frac{5}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{13}{9})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{-73}{6}-4x\\4x+y=\frac{-239}{30}\end{matrix}\right.\qquad V=\{(\frac{-13}{6},\frac{7}{10})\}\)
10. \(\left\{\begin{matrix}-2x-6y=\frac{146}{15}\\x-6y=\frac{152}{15}\end{matrix}\right.\qquad V=\{(\frac{2}{15},\frac{-5}{3})\}\)
11. \(\left\{\begin{matrix}4y=\frac{88}{5}+x\\5x-3y=\frac{-897}{10}\end{matrix}\right.\qquad V=\{(-18,\frac{-1}{10})\}\)
12. \(\left\{\begin{matrix}-3x-5y=\frac{25}{12}\\-x-6y=\frac{17}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{12},\frac{-1}{6})\}\)