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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+3y=\frac{818}{143}\\-x+2y=\frac{-265}{143}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+5y=\frac{-197}{60}\\-x+4y=\frac{-37}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+5y=\frac{-155}{8}\\x-3y=\frac{-3}{8}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=-41+2x\\4x+y=-18\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+2y=\frac{325}{56}\\6x=-3y+\frac{-255}{28}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-4y=\frac{98}{3}\\x+6y=\frac{-73}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-5y=\frac{160}{3}\\-3x=-y+-14\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-160}{19}+5x\\-x-6y=\frac{-272}{95}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{49}{10}+3x\\-x-3y=\frac{21}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+y=\frac{67}{3}\\2x=-4y+\frac{44}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{-20}{3}+4x\\-x-4y=\frac{-95}{24}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{61}{16}+6x\\x-3y=\frac{5}{16}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+3y=\frac{818}{143}\\-x+2y=\frac{-265}{143}\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{-3}{11})\}\)
2. \(\left\{\begin{matrix}-2x+5y=\frac{-197}{60}\\-x+4y=\frac{-37}{15}\end{matrix}\right.\qquad V=\{(\frac{4}{15},\frac{-11}{20})\}\)
3. \(\left\{\begin{matrix}-5x+5y=\frac{-155}{8}\\x-3y=\frac{-3}{8}\end{matrix}\right.\qquad V=\{(6,\frac{17}{8})\}\)
4. \(\left\{\begin{matrix}2y=-41+2x\\4x+y=-18\end{matrix}\right.\qquad V=\{(\frac{1}{2},-20)\}\)
5. \(\left\{\begin{matrix}-x+2y=\frac{325}{56}\\6x=-3y+\frac{-255}{28}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},\frac{12}{7})\}\)
6. \(\left\{\begin{matrix}-4x-4y=\frac{98}{3}\\x+6y=\frac{-73}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-17}{3})\}\)
7. \(\left\{\begin{matrix}5x-5y=\frac{160}{3}\\-3x=-y+-14\end{matrix}\right.\qquad V=\{(\frac{5}{3},-9)\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-160}{19}+5x\\-x-6y=\frac{-272}{95}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{4}{19})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{49}{10}+3x\\-x-3y=\frac{21}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-1}{5})\}\)
10. \(\left\{\begin{matrix}4x+y=\frac{67}{3}\\2x=-4y+\frac{44}{3}\end{matrix}\right.\qquad V=\{(\frac{16}{3},1)\}\)
11. \(\left\{\begin{matrix}-5y=\frac{-20}{3}+4x\\-x-4y=\frac{-95}{24}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{5}{6})\}\)
12. \(\left\{\begin{matrix}5y=\frac{61}{16}+6x\\x-3y=\frac{5}{16}\end{matrix}\right.\qquad V=\{(-1,\frac{-7}{16})\}\)