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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+4y=\frac{-14}{3}\\3x+5y=\frac{-77}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+y=\frac{37}{4}\\3x+4y=-9\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-4y=109\\4x+y=\frac{309}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-3y=\frac{1263}{95}\\-x-6y=\frac{2106}{95}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-2y=\frac{20}{19}\\-x=y+\frac{10}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{-22}{35}+4x\\-2x-y=\frac{69}{35}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+2y=\frac{-200}{39}\\-x-6y=\frac{74}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-y=\frac{11}{7}\\-5x=-5y+\frac{305}{28}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-2y=\frac{13}{4}\\x=-2y+\frac{23}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{87}{10}+6x\\2x+y=\frac{-49}{30}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-4y=\frac{-386}{85}\\x-5y=\frac{-24}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{17}{12}-x\\5x-5y=\frac{245}{12}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+4y=\frac{-14}{3}\\3x+5y=\frac{-77}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-13}{12})\}\)
2. \(\left\{\begin{matrix}-5x+y=\frac{37}{4}\\3x+4y=-9\end{matrix}\right.\qquad V=\{(-2,\frac{-3}{4})\}\)
3. \(\left\{\begin{matrix}6x-4y=109\\4x+y=\frac{309}{4}\end{matrix}\right.\qquad V=\{(19,\frac{5}{4})\}\)
4. \(\left\{\begin{matrix}3x-3y=\frac{1263}{95}\\-x-6y=\frac{2106}{95}\end{matrix}\right.\qquad V=\{(\frac{12}{19},\frac{-19}{5})\}\)
5. \(\left\{\begin{matrix}-2x-2y=\frac{20}{19}\\-x=y+\frac{10}{19}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},\frac{-7}{19})\}\)
6. \(\left\{\begin{matrix}6y=\frac{-22}{35}+4x\\-2x-y=\frac{69}{35}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{-4}{7})\}\)
7. \(\left\{\begin{matrix}5x+2y=\frac{-200}{39}\\-x-6y=\frac{74}{13}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},\frac{-5}{6})\}\)
8. \(\left\{\begin{matrix}-4x-y=\frac{11}{7}\\-5x=-5y+\frac{305}{28}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{10}{7})\}\)
9. \(\left\{\begin{matrix}6x-2y=\frac{13}{4}\\x=-2y+\frac{23}{8}\end{matrix}\right.\qquad V=\{(\frac{7}{8},1)\}\)
10. \(\left\{\begin{matrix}-5y=\frac{87}{10}+6x\\2x+y=\frac{-49}{30}\end{matrix}\right.\qquad V=\{(\frac{2}{15},\frac{-19}{10})\}\)
11. \(\left\{\begin{matrix}-5x-4y=\frac{-386}{85}\\x-5y=\frac{-24}{17}\end{matrix}\right.\qquad V=\{(\frac{10}{17},\frac{2}{5})\}\)
12. \(\left\{\begin{matrix}y=\frac{17}{12}-x\\5x-5y=\frac{245}{12}\end{matrix}\right.\qquad V=\{(\frac{11}{4},\frac{-4}{3})\}\)