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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-6y=\frac{-136}{13}\\x+6y=\frac{97}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{308}{15}+4x\\-x-4y=\frac{467}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-4y=\frac{-116}{13}\\4x=-y+\frac{-107}{26}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{-431}{165}+x\\6x-3y=\frac{598}{55}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-2y=-24\\-x=y+-8\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-y=\frac{-43}{21}\\3x-4y=\frac{37}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+6y=\frac{-1822}{221}\\6x=y+\frac{-161}{221}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-5y=\frac{-205}{3}\\-5x-y=\frac{43}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+2y=\frac{-43}{7}\\x=y+\frac{-27}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+2y=\frac{-185}{17}\\-x+6y=\frac{-467}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{-133}{17}+6x\\x-3y=\frac{-77}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+6y=52\\6x+y=54\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-6y=\frac{-136}{13}\\x+6y=\frac{97}{13}\end{matrix}\right.\qquad V=\{(1,\frac{14}{13})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{308}{15}+4x\\-x-4y=\frac{467}{15}\end{matrix}\right.\qquad V=\{(\frac{13}{15},-8)\}\)
3. \(\left\{\begin{matrix}6x-4y=\frac{-116}{13}\\4x=-y+\frac{-107}{26}\end{matrix}\right.\qquad V=\{(\frac{-15}{13},\frac{1}{2})\}\)
4. \(\left\{\begin{matrix}2y=\frac{-431}{165}+x\\6x-3y=\frac{598}{55}\end{matrix}\right.\qquad V=\{(\frac{17}{11},\frac{-8}{15})\}\)
5. \(\left\{\begin{matrix}2x-2y=-24\\-x=y+-8\end{matrix}\right.\qquad V=\{(-2,10)\}\)
6. \(\left\{\begin{matrix}4x-y=\frac{-43}{21}\\3x-4y=\frac{37}{14}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-9}{7})\}\)
7. \(\left\{\begin{matrix}5x+6y=\frac{-1822}{221}\\6x=y+\frac{-161}{221}\end{matrix}\right.\qquad V=\{(\frac{-4}{13},\frac{-19}{17})\}\)
8. \(\left\{\begin{matrix}5x-5y=\frac{-205}{3}\\-5x-y=\frac{43}{3}\end{matrix}\right.\qquad V=\{(\frac{-14}{3},9)\}\)
9. \(\left\{\begin{matrix}2x+2y=\frac{-43}{7}\\x=y+\frac{-27}{14}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-4}{7})\}\)
10. \(\left\{\begin{matrix}-4x+2y=\frac{-185}{17}\\-x+6y=\frac{-467}{17}\end{matrix}\right.\qquad V=\{(\frac{8}{17},\frac{-9}{2})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{-133}{17}+6x\\x-3y=\frac{-77}{17}\end{matrix}\right.\qquad V=\{(\frac{8}{17},\frac{5}{3})\}\)
12. \(\left\{\begin{matrix}4x+6y=52\\6x+y=54\end{matrix}\right.\qquad V=\{(\frac{17}{2},3)\}\)