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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+5y=\frac{1202}{133}\\2x-y=\frac{-274}{133}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-6y=-23\\-6x=y+\frac{53}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+y=\frac{-1419}{112}\\-2x=3y+\frac{-639}{112}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+y=\frac{-1075}{132}\\-4x=-5y+\frac{541}{132}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+5y=\frac{-97}{11}\\x+4y=\frac{-514}{55}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+3y=81\\2x=y+-27\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-y=66\\-3x-4y=43\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{-578}{9}-2x\\x-6y=\frac{-1397}{18}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+6y=\frac{115}{42}\\-3x=3y+\frac{-25}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{284}{33}-4x\\-x-6y=\frac{-149}{33}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{313}{30}-4x\\5x-y=\frac{149}{30}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{-338}{15}+4x\\-x+y=\frac{-101}{30}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+5y=\frac{1202}{133}\\2x-y=\frac{-274}{133}\end{matrix}\right.\qquad V=\{(\frac{-6}{19},\frac{10}{7})\}\)
2. \(\left\{\begin{matrix}6x-6y=-23\\-6x=y+\frac{53}{2}\end{matrix}\right.\qquad V=\{(\frac{-13}{3},\frac{-1}{2})\}\)
3. \(\left\{\begin{matrix}-5x+y=\frac{-1419}{112}\\-2x=3y+\frac{-639}{112}\end{matrix}\right.\qquad V=\{(\frac{18}{7},\frac{3}{16})\}\)
4. \(\left\{\begin{matrix}5x+y=\frac{-1075}{132}\\-4x=-5y+\frac{541}{132}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},\frac{-5}{12})\}\)
5. \(\left\{\begin{matrix}-4x+5y=\frac{-97}{11}\\x+4y=\frac{-514}{55}\end{matrix}\right.\qquad V=\{(\frac{-6}{11},\frac{-11}{5})\}\)
6. \(\left\{\begin{matrix}-6x+3y=81\\2x=y+-27\end{matrix}\right.\qquad V=\{(-12,3)\}\)
7. \(\left\{\begin{matrix}-5x-y=66\\-3x-4y=43\end{matrix}\right.\qquad V=\{(-13,-1)\}\)
8. \(\left\{\begin{matrix}-5y=\frac{-578}{9}-2x\\x-6y=\frac{-1397}{18}\end{matrix}\right.\qquad V=\{(\frac{7}{18},13)\}\)
9. \(\left\{\begin{matrix}x+6y=\frac{115}{42}\\-3x=3y+\frac{-25}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{3}{7})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{284}{33}-4x\\-x-6y=\frac{-149}{33}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{4}{11})\}\)
11. \(\left\{\begin{matrix}3y=\frac{313}{30}-4x\\5x-y=\frac{149}{30}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{17}{10})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{-338}{15}+4x\\-x+y=\frac{-101}{30}\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{17}{15})\}\)