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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+2y=\frac{17}{10}\\5x=-y+\frac{-119}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{21}{8}+3x\\-2x-y=\frac{5}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x-5y=\frac{-5}{4}\\-x=-5y+\frac{-7}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-2y=3\\-x-2y=1\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+4y=\frac{-133}{26}\\5x=y+\frac{745}{104}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+6y=\frac{39}{14}\\-x+5y=\frac{9}{28}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+5y=\frac{137}{20}\\-3x=y+\frac{59}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+6y=\frac{-53}{7}\\6x+2y=\frac{-216}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+y=\frac{991}{180}\\-2x+6y=\frac{-227}{90}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{-236}{285}+x\\2x+2y=\frac{472}{285}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{-4}{3}-2x\\-3x-y=\frac{29}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+5y=\frac{-121}{14}\\-4x=-y+\frac{-41}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+2y=\frac{17}{10}\\5x=-y+\frac{-119}{10}\end{matrix}\right.\qquad V=\{(\frac{-17}{10},\frac{-17}{5})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{21}{8}+3x\\-2x-y=\frac{5}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{-3}{2})\}\)
3. \(\left\{\begin{matrix}5x-5y=\frac{-5}{4}\\-x=-5y+\frac{-7}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-1}{2})\}\)
4. \(\left\{\begin{matrix}5x-2y=3\\-x-2y=1\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-2}{3})\}\)
5. \(\left\{\begin{matrix}-2x+4y=\frac{-133}{26}\\5x=y+\frac{745}{104}\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{-5}{8})\}\)
6. \(\left\{\begin{matrix}2x+6y=\frac{39}{14}\\-x+5y=\frac{9}{28}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{3}{14})\}\)
7. \(\left\{\begin{matrix}6x+5y=\frac{137}{20}\\-3x=y+\frac{59}{20}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{17}{4})\}\)
8. \(\left\{\begin{matrix}x+6y=\frac{-53}{7}\\6x+2y=\frac{-216}{7}\end{matrix}\right.\qquad V=\{(-5,\frac{-3}{7})\}\)
9. \(\left\{\begin{matrix}5x+y=\frac{991}{180}\\-2x+6y=\frac{-227}{90}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{-1}{20})\}\)
10. \(\left\{\begin{matrix}-y=\frac{-236}{285}+x\\2x+2y=\frac{472}{285}\end{matrix}\right.\qquad V=\{(\frac{-1}{15},\frac{17}{19})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{-4}{3}-2x\\-3x-y=\frac{29}{9}\end{matrix}\right.\qquad V=\{(-1,\frac{-2}{9})\}\)
12. \(\left\{\begin{matrix}-6x+5y=\frac{-121}{14}\\-4x=-y+\frac{-41}{14}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{-17}{14})\}\)