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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-y=\frac{-133}{68}\\6x=5y+\frac{-1133}{68}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-3y=\frac{9}{2}\\6x=-y+\frac{-11}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-2y=\frac{-129}{28}\\-6x=-5y+\frac{-47}{14}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-5y=\frac{-50}{33}\\2x-y=\frac{38}{33}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=8+6x\\x-2y=-2\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+4y=\frac{28}{3}\\x=2y+\frac{-8}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-101}{5}-3x\\x+6y=\frac{-192}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-y=\frac{17}{9}\\5x-4y=\frac{41}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+5y=\frac{381}{136}\\-x=y+\frac{-281}{136}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{108}{17}+6x\\-x-4y=\frac{25}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+5y=19\\-x=y+-3\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{-1}{4}+2x\\-3x-y=\frac{5}{8}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-y=\frac{-133}{68}\\6x=5y+\frac{-1133}{68}\end{matrix}\right.\qquad V=\{(\frac{13}{17},\frac{17}{4})\}\)
2. \(\left\{\begin{matrix}6x-3y=\frac{9}{2}\\6x=-y+\frac{-11}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-5}{2})\}\)
3. \(\left\{\begin{matrix}-x-2y=\frac{-129}{28}\\-6x=-5y+\frac{-47}{14}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{10}{7})\}\)
4. \(\left\{\begin{matrix}2x-5y=\frac{-50}{33}\\2x-y=\frac{38}{33}\end{matrix}\right.\qquad V=\{(\frac{10}{11},\frac{2}{3})\}\)
5. \(\left\{\begin{matrix}4y=8+6x\\x-2y=-2\end{matrix}\right.\qquad V=\{(-1,\frac{1}{2})\}\)
6. \(\left\{\begin{matrix}-4x+4y=\frac{28}{3}\\x=2y+\frac{-8}{3}\end{matrix}\right.\qquad V=\{(-2,\frac{1}{3})\}\)
7. \(\left\{\begin{matrix}3y=\frac{-101}{5}-3x\\x+6y=\frac{-192}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-19}{3})\}\)
8. \(\left\{\begin{matrix}-x-y=\frac{17}{9}\\5x-4y=\frac{41}{9}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-14}{9})\}\)
9. \(\left\{\begin{matrix}-3x+5y=\frac{381}{136}\\-x=y+\frac{-281}{136}\end{matrix}\right.\qquad V=\{(\frac{16}{17},\frac{9}{8})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{108}{17}+6x\\-x-4y=\frac{25}{17}\end{matrix}\right.\qquad V=\{(-1,\frac{-2}{17})\}\)
11. \(\left\{\begin{matrix}3x+5y=19\\-x=y+-3\end{matrix}\right.\qquad V=\{(-2,5)\}\)
12. \(\left\{\begin{matrix}-6y=\frac{-1}{4}+2x\\-3x-y=\frac{5}{8}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{1}{8})\}\)