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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-6y=\frac{22}{3}\\5x-y=9\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-5y=\frac{65}{14}\\6x+2y=\frac{3}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+3y=\frac{293}{60}\\-x=-6y+\frac{91}{60}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-4y=\frac{104}{11}\\-2x-y=\frac{-43}{33}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{-569}{35}+6x\\5x-y=\frac{1619}{140}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{-290}{209}-x\\-4x+2y=\frac{1270}{209}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{-105}{4}-5x\\-x+y=\frac{-13}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{61}{4}+x\\4x+4y=-13\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{-171}{10}+6x\\x+5y=\frac{25}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-2y=\frac{28}{33}\\x+6y=\frac{-23}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{209}{4}+5x\\-4x-y=\frac{433}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{113}{102}-x\\3x+5y=\frac{133}{306}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-6y=\frac{22}{3}\\5x-y=9\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-2}{3})\}\)
2. \(\left\{\begin{matrix}x-5y=\frac{65}{14}\\6x+2y=\frac{3}{7}\end{matrix}\right.\qquad V=\{(\frac{5}{14},\frac{-6}{7})\}\)
3. \(\left\{\begin{matrix}-5x+3y=\frac{293}{60}\\-x=-6y+\frac{91}{60}\end{matrix}\right.\qquad V=\{(\frac{-11}{12},\frac{1}{10})\}\)
4. \(\left\{\begin{matrix}3x-4y=\frac{104}{11}\\-2x-y=\frac{-43}{33}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-15}{11})\}\)
5. \(\left\{\begin{matrix}4y=\frac{-569}{35}+6x\\5x-y=\frac{1619}{140}\end{matrix}\right.\qquad V=\{(\frac{15}{7},\frac{-17}{20})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{-290}{209}-x\\-4x+2y=\frac{1270}{209}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},\frac{-1}{19})\}\)
7. \(\left\{\begin{matrix}5y=\frac{-105}{4}-5x\\-x+y=\frac{-13}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{-17}{4})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{61}{4}+x\\4x+4y=-13\end{matrix}\right.\qquad V=\{(\frac{-1}{4},-3)\}\)
9. \(\left\{\begin{matrix}-6y=\frac{-171}{10}+6x\\x+5y=\frac{25}{4}\end{matrix}\right.\qquad V=\{(2,\frac{17}{20})\}\)
10. \(\left\{\begin{matrix}-2x-2y=\frac{28}{33}\\x+6y=\frac{-23}{11}\end{matrix}\right.\qquad V=\{(\frac{-1}{11},\frac{-1}{3})\}\)
11. \(\left\{\begin{matrix}6y=\frac{209}{4}+5x\\-4x-y=\frac{433}{8}\end{matrix}\right.\qquad V=\{(-13,\frac{-17}{8})\}\)
12. \(\left\{\begin{matrix}3y=\frac{113}{102}-x\\3x+5y=\frac{133}{306}\end{matrix}\right.\qquad V=\{(\frac{-18}{17},\frac{13}{18})\}\)