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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-6y=\frac{-274}{21}\\x-y=\frac{-313}{126}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{13}{6}-4x\\-x-2y=\frac{-5}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{-59}{45}+x\\4x-3y=\frac{-232}{45}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-3y=\frac{-27}{52}\\3x=y+\frac{111}{52}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{-125}{8}+2x\\2x-y=\frac{175}{16}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{-204}{7}-4x\\2x+y=\frac{-53}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-2y=\frac{91}{68}\\x+6y=\frac{211}{68}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{181}{18}+5x\\-3x-y=\frac{13}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{-33}{8}+x\\6x+5y=\frac{-15}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+4y=\frac{943}{57}\\2x+3y=\frac{217}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{-197}{14}-x\\-4x-6y=\frac{160}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-y=\frac{132}{5}\\-5x-5y=67\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-6y=\frac{-274}{21}\\x-y=\frac{-313}{126}\end{matrix}\right.\qquad V=\{(\frac{-13}{14},\frac{14}{9})\}\)
2. \(\left\{\begin{matrix}6y=\frac{13}{6}-4x\\-x-2y=\frac{-5}{12}\end{matrix}\right.\qquad V=\{(\frac{11}{12},\frac{-1}{4})\}\)
3. \(\left\{\begin{matrix}4y=\frac{-59}{45}+x\\4x-3y=\frac{-232}{45}\end{matrix}\right.\qquad V=\{(\frac{-17}{9},\frac{-4}{5})\}\)
4. \(\left\{\begin{matrix}-6x-3y=\frac{-27}{52}\\3x=y+\frac{111}{52}\end{matrix}\right.\qquad V=\{(\frac{6}{13},\frac{-3}{4})\}\)
5. \(\left\{\begin{matrix}6y=\frac{-125}{8}+2x\\2x-y=\frac{175}{16}\end{matrix}\right.\qquad V=\{(5,\frac{-15}{16})\}\)
6. \(\left\{\begin{matrix}4y=\frac{-204}{7}-4x\\2x+y=\frac{-53}{7}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},-7)\}\)
7. \(\left\{\begin{matrix}-4x-2y=\frac{91}{68}\\x+6y=\frac{211}{68}\end{matrix}\right.\qquad V=\{(\frac{-11}{17},\frac{5}{8})\}\)
8. \(\left\{\begin{matrix}2y=\frac{181}{18}+5x\\-3x-y=\frac{13}{12}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{9}{4})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{-33}{8}+x\\6x+5y=\frac{-15}{4}\end{matrix}\right.\qquad V=\{(\frac{-15}{8},\frac{3}{2})\}\)
10. \(\left\{\begin{matrix}x+4y=\frac{943}{57}\\2x+3y=\frac{217}{19}\end{matrix}\right.\qquad V=\{(\frac{-15}{19},\frac{13}{3})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{-197}{14}-x\\-4x-6y=\frac{160}{7}\end{matrix}\right.\qquad V=\{(\frac{-17}{2},\frac{13}{7})\}\)
12. \(\left\{\begin{matrix}4x-y=\frac{132}{5}\\-5x-5y=67\end{matrix}\right.\qquad V=\{(\frac{13}{5},-16)\}\)