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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-2y=\frac{37}{6}\\5x=y+\frac{5}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{-99}{10}-x\\-4x+4y=\frac{-42}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-4y=\frac{-2}{3}\\4x+y=\frac{-59}{24}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-6y=\frac{193}{14}\\x+4y=\frac{-103}{21}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-4y=\frac{7}{10}\\-x=6y+\frac{71}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=12-5x\\x+5y=8\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-y=\frac{21}{104}\\-3x=-2y+\frac{-159}{104}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{-485}{51}+2x\\-x+y=\frac{-115}{51}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x-6y=\frac{-129}{16}\\4x-y=\frac{-37}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+2y=\frac{-198}{133}\\-x=-2y+\frac{-103}{133}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{347}{76}-6x\\x-6y=\frac{-463}{152}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-6y=\frac{-19}{7}\\6x-y=\frac{107}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-2y=\frac{37}{6}\\5x=y+\frac{5}{6}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{-7}{3})\}\)
2. \(\left\{\begin{matrix}5y=\frac{-99}{10}-x\\-4x+4y=\frac{-42}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{10},-2)\}\)
3. \(\left\{\begin{matrix}2x-4y=\frac{-2}{3}\\4x+y=\frac{-59}{24}\end{matrix}\right.\qquad V=\{(\frac{-7}{12},\frac{-1}{8})\}\)
4. \(\left\{\begin{matrix}-4x-6y=\frac{193}{14}\\x+4y=\frac{-103}{21}\end{matrix}\right.\qquad V=\{(\frac{-18}{7},\frac{-7}{12})\}\)
5. \(\left\{\begin{matrix}3x-4y=\frac{7}{10}\\-x=6y+\frac{71}{10}\end{matrix}\right.\qquad V=\{(\frac{-11}{10},-1)\}\)
6. \(\left\{\begin{matrix}5y=12-5x\\x+5y=8\end{matrix}\right.\qquad V=\{(1,\frac{7}{5})\}\)
7. \(\left\{\begin{matrix}x-y=\frac{21}{104}\\-3x=-2y+\frac{-159}{104}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{12}{13})\}\)
8. \(\left\{\begin{matrix}5y=\frac{-485}{51}+2x\\-x+y=\frac{-115}{51}\end{matrix}\right.\qquad V=\{(\frac{10}{17},\frac{-5}{3})\}\)
9. \(\left\{\begin{matrix}3x-6y=\frac{-129}{16}\\4x-y=\frac{-37}{8}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},\frac{7}{8})\}\)
10. \(\left\{\begin{matrix}-6x+2y=\frac{-198}{133}\\-x=-2y+\frac{-103}{133}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{-6}{19})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{347}{76}-6x\\x-6y=\frac{-463}{152}\end{matrix}\right.\qquad V=\{(\frac{11}{8},\frac{14}{19})\}\)
12. \(\left\{\begin{matrix}2x-6y=\frac{-19}{7}\\6x-y=\frac{107}{14}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{13}{14})\}\)