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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{-41}{12}-3x\\2x+y=\frac{-25}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+3y=-22\\3x=-y+-47\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x-5y=\frac{-234}{11}\\4x=-y+\frac{664}{33}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{11}{24}-x\\-4x+2y=\frac{91}{24}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+4y=\frac{-232}{35}\\4x-y=\frac{-359}{70}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-y=\frac{6}{5}\\2x=3y+\frac{-2}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-4y=\frac{-20}{7}\\-x-y=\frac{-25}{28}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-6y=14\\4x=y+-1\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{11}{20}-5x\\-5x+5y=\frac{5}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+4y=\frac{-37}{34}\\-x=y+\frac{-23}{136}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{-993}{91}-6x\\-2x+y=\frac{597}{182}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-3y=\frac{-49}{18}\\-3x-3y=\frac{5}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{-41}{12}-3x\\2x+y=\frac{-25}{12}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-7}{12})\}\)
2. \(\left\{\begin{matrix}2x+3y=-22\\3x=-y+-47\end{matrix}\right.\qquad V=\{(-17,4)\}\)
3. \(\left\{\begin{matrix}-3x-5y=\frac{-234}{11}\\4x=-y+\frac{664}{33}\end{matrix}\right.\qquad V=\{(\frac{14}{3},\frac{16}{11})\}\)
4. \(\left\{\begin{matrix}2y=\frac{11}{24}-x\\-4x+2y=\frac{91}{24}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{9}{16})\}\)
5. \(\left\{\begin{matrix}4x+4y=\frac{-232}{35}\\4x-y=\frac{-359}{70}\end{matrix}\right.\qquad V=\{(\frac{-19}{14},\frac{-3}{10})\}\)
6. \(\left\{\begin{matrix}x-y=\frac{6}{5}\\2x=3y+\frac{-2}{5}\end{matrix}\right.\qquad V=\{(4,\frac{14}{5})\}\)
7. \(\left\{\begin{matrix}-6x-4y=\frac{-20}{7}\\-x-y=\frac{-25}{28}\end{matrix}\right.\qquad V=\{(\frac{-5}{14},\frac{5}{4})\}\)
8. \(\left\{\begin{matrix}4x-6y=14\\4x=y+-1\end{matrix}\right.\qquad V=\{(-1,-3)\}\)
9. \(\left\{\begin{matrix}-y=\frac{11}{20}-5x\\-5x+5y=\frac{5}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{9}{20})\}\)
10. \(\left\{\begin{matrix}-2x+4y=\frac{-37}{34}\\-x=y+\frac{-23}{136}\end{matrix}\right.\qquad V=\{(\frac{5}{17},\frac{-1}{8})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{-993}{91}-6x\\-2x+y=\frac{597}{182}\end{matrix}\right.\qquad V=\{(\frac{-19}{13},\frac{5}{14})\}\)
12. \(\left\{\begin{matrix}-x-3y=\frac{-49}{18}\\-3x-3y=\frac{5}{6}\end{matrix}\right.\qquad V=\{(\frac{-16}{9},\frac{3}{2})\}\)