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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{-121}{39}+2x\\5x-y=\frac{-305}{39}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-6y=\frac{-36}{19}\\-x-2y=\frac{45}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-y=\frac{109}{3}\\-6x-3y=37\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-y=\frac{-103}{11}\\-3x=3y+\frac{-45}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+4y=\frac{-34}{77}\\x-2y=\frac{-256}{77}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{196}{9}-2x\\-2x+y=\frac{-52}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+3y=\frac{-113}{10}\\-x-y=\frac{-19}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+3y=10\\x-5y=\frac{-179}{24}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{-24}{5}-6x\\x-4y=\frac{59}{40}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{178}{95}-4x\\3x-y=\frac{86}{95}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-2y=\frac{20}{13}\\x+3y=\frac{22}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+3y=\frac{809}{119}\\5x-y=\frac{197}{119}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{-121}{39}+2x\\5x-y=\frac{-305}{39}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{15}{13})\}\)
2. \(\left\{\begin{matrix}6x-6y=\frac{-36}{19}\\-x-2y=\frac{45}{19}\end{matrix}\right.\qquad V=\{(-1,\frac{-13}{19})\}\)
3. \(\left\{\begin{matrix}-6x-y=\frac{109}{3}\\-6x-3y=37\end{matrix}\right.\qquad V=\{(-6,\frac{-1}{3})\}\)
4. \(\left\{\begin{matrix}-5x-y=\frac{-103}{11}\\-3x=3y+\frac{-45}{11}\end{matrix}\right.\qquad V=\{(2,\frac{-7}{11})\}\)
5. \(\left\{\begin{matrix}4x+4y=\frac{-34}{77}\\x-2y=\frac{-256}{77}\end{matrix}\right.\qquad V=\{(\frac{-13}{11},\frac{15}{14})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{196}{9}-2x\\-2x+y=\frac{-52}{9}\end{matrix}\right.\qquad V=\{(\frac{8}{9},-4)\}\)
7. \(\left\{\begin{matrix}-2x+3y=\frac{-113}{10}\\-x-y=\frac{-19}{10}\end{matrix}\right.\qquad V=\{(\frac{17}{5},\frac{-3}{2})\}\)
8. \(\left\{\begin{matrix}-4x+3y=10\\x-5y=\frac{-179}{24}\end{matrix}\right.\qquad V=\{(\frac{-13}{8},\frac{7}{6})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{-24}{5}-6x\\x-4y=\frac{59}{40}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{-13}{20})\}\)
10. \(\left\{\begin{matrix}2y=\frac{178}{95}-4x\\3x-y=\frac{86}{95}\end{matrix}\right.\qquad V=\{(\frac{7}{19},\frac{1}{5})\}\)
11. \(\left\{\begin{matrix}2x-2y=\frac{20}{13}\\x+3y=\frac{22}{13}\end{matrix}\right.\qquad V=\{(1,\frac{3}{13})\}\)
12. \(\left\{\begin{matrix}5x+3y=\frac{809}{119}\\5x-y=\frac{197}{119}\end{matrix}\right.\qquad V=\{(\frac{10}{17},\frac{9}{7})\}\)