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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+6y=\frac{169}{88}\\3x-3y=\frac{471}{176}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-2y=\frac{-1428}{209}\\x=3y+\frac{-413}{209}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-5y=20\\x+5y=\frac{-25}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+5y=\frac{-55}{221}\\-x=2y+\frac{-437}{221}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+6y=\frac{-331}{55}\\-5x-y=\frac{263}{33}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-y=\frac{-64}{7}\\-6x=2y+\frac{-53}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+6y=\frac{95}{7}\\-x=2y+\frac{50}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-301}{39}-3x\\-5x-y=\frac{1289}{117}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-3y=\frac{-107}{17}\\x=4y+\frac{-808}{51}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{-185}{21}+5x\\-x+3y=\frac{-97}{21}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-6y=\frac{87}{4}\\-3x=y+\frac{23}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+5y=\frac{-465}{8}\\-3x=y+\frac{237}{8}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+6y=\frac{169}{88}\\3x-3y=\frac{471}{176}\end{matrix}\right.\qquad V=\{(\frac{16}{11},\frac{9}{16})\}\)
2. \(\left\{\begin{matrix}-4x-2y=\frac{-1428}{209}\\x=3y+\frac{-413}{209}\end{matrix}\right.\qquad V=\{(\frac{13}{11},\frac{20}{19})\}\)
3. \(\left\{\begin{matrix}-2x-5y=20\\x+5y=\frac{-25}{2}\end{matrix}\right.\qquad V=\{(\frac{-15}{2},-1)\}\)
4. \(\left\{\begin{matrix}-2x+5y=\frac{-55}{221}\\-x=2y+\frac{-437}{221}\end{matrix}\right.\qquad V=\{(\frac{15}{13},\frac{7}{17})\}\)
5. \(\left\{\begin{matrix}-3x+6y=\frac{-331}{55}\\-5x-y=\frac{263}{33}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{-18}{11})\}\)
6. \(\left\{\begin{matrix}2x-y=\frac{-64}{7}\\-6x=2y+\frac{-53}{7}\end{matrix}\right.\qquad V=\{(\frac{-15}{14},7)\}\)
7. \(\left\{\begin{matrix}-2x+6y=\frac{95}{7}\\-x=2y+\frac{50}{7}\end{matrix}\right.\qquad V=\{(-7,\frac{-1}{14})\}\)
8. \(\left\{\begin{matrix}3y=\frac{-301}{39}-3x\\-5x-y=\frac{1289}{117}\end{matrix}\right.\qquad V=\{(\frac{-19}{9},\frac{-6}{13})\}\)
9. \(\left\{\begin{matrix}-4x-3y=\frac{-107}{17}\\x=4y+\frac{-808}{51}\end{matrix}\right.\qquad V=\{(\frac{-20}{17},\frac{11}{3})\}\)
10. \(\left\{\begin{matrix}5y=\frac{-185}{21}+5x\\-x+3y=\frac{-97}{21}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-10}{7})\}\)
11. \(\left\{\begin{matrix}3x-6y=\frac{87}{4}\\-3x=y+\frac{23}{2}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{-19}{4})\}\)
12. \(\left\{\begin{matrix}6x+5y=\frac{-465}{8}\\-3x=y+\frac{237}{8}\end{matrix}\right.\qquad V=\{(-10,\frac{3}{8})\}\)