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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-5y=\frac{101}{48}\\x-y=\frac{-211}{240}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-y=\frac{-413}{19}\\-4x-3y=\frac{490}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+y=\frac{120}{17}\\-4x+6y=\frac{176}{17}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-391}{11}-2x\\2x-y=\frac{-339}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+3y=\frac{1529}{133}\\-x+2y=\frac{-51}{133}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+6y=\frac{-47}{6}\\-x-y=\frac{25}{12}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+2y=\frac{13}{3}\\x+6y=0\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{66}{7}-3x\\3x-y=\frac{11}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-3y=-2\\3x+y=\frac{11}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+y=\frac{837}{187}\\2x-2y=\frac{-134}{187}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{571}{57}+4x\\5x+y=\frac{-1645}{114}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+6y=\frac{-51}{10}\\-3x=-6y+\frac{53}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-5y=\frac{101}{48}\\x-y=\frac{-211}{240}\end{matrix}\right.\qquad V=\{(\frac{-13}{16},\frac{1}{15})\}\)
2. \(\left\{\begin{matrix}3x-y=\frac{-413}{19}\\-4x-3y=\frac{490}{19}\end{matrix}\right.\qquad V=\{(-7,\frac{14}{19})\}\)
3. \(\left\{\begin{matrix}-6x+y=\frac{120}{17}\\-4x+6y=\frac{176}{17}\end{matrix}\right.\qquad V=\{(-1,\frac{18}{17})\}\)
4. \(\left\{\begin{matrix}3y=\frac{-391}{11}-2x\\2x-y=\frac{-339}{11}\end{matrix}\right.\qquad V=\{(-16,\frac{-13}{11})\}\)
5. \(\left\{\begin{matrix}5x+3y=\frac{1529}{133}\\-x+2y=\frac{-51}{133}\end{matrix}\right.\qquad V=\{(\frac{13}{7},\frac{14}{19})\}\)
6. \(\left\{\begin{matrix}4x+6y=\frac{-47}{6}\\-x-y=\frac{25}{12}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{1}{4})\}\)
7. \(\left\{\begin{matrix}-4x+2y=\frac{13}{3}\\x+6y=0\end{matrix}\right.\qquad V=\{(-1,\frac{1}{6})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{66}{7}-3x\\3x-y=\frac{11}{2}\end{matrix}\right.\qquad V=\{(\frac{11}{7},\frac{-11}{14})\}\)
9. \(\left\{\begin{matrix}-6x-3y=-2\\3x+y=\frac{11}{6}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{-5}{3})\}\)
10. \(\left\{\begin{matrix}4x+y=\frac{837}{187}\\2x-2y=\frac{-134}{187}\end{matrix}\right.\qquad V=\{(\frac{14}{17},\frac{13}{11})\}\)
11. \(\left\{\begin{matrix}5y=\frac{571}{57}+4x\\5x+y=\frac{-1645}{114}\end{matrix}\right.\qquad V=\{(\frac{-17}{6},\frac{-5}{19})\}\)
12. \(\left\{\begin{matrix}x+6y=\frac{-51}{10}\\-3x=-6y+\frac{53}{10}\end{matrix}\right.\qquad V=\{(\frac{-13}{5},\frac{-5}{12})\}\)