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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+3y=\frac{-241}{84}\\2x-6y=\frac{479}{42}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+2y=48\\x-4y=16\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x-y=\frac{-297}{28}\\-4x+6y=\frac{-55}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=\frac{45}{2}-3x\\-x+6y=\frac{21}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+6y=\frac{19}{3}\\x+4y=\frac{-14}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+6y=\frac{-136}{7}\\5x=-5y+\frac{-55}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+3y=\frac{-255}{11}\\x-2y=\frac{166}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-3y=\frac{31}{20}\\5x+2y=\frac{-97}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-2y=\frac{-34}{5}\\-3x+y=\frac{17}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{-203}{22}+5x\\6x+6y=\frac{801}{55}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+6y=\frac{-33}{20}\\-2x=y+\frac{-101}{40}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-y=\frac{7}{13}\\3x+5y=\frac{-74}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+3y=\frac{-241}{84}\\2x-6y=\frac{479}{42}\end{matrix}\right.\qquad V=\{(\frac{17}{12},\frac{-10}{7})\}\)
2. \(\left\{\begin{matrix}-4x+2y=48\\x-4y=16\end{matrix}\right.\qquad V=\{(-16,-8)\}\)
3. \(\left\{\begin{matrix}-3x-y=\frac{-297}{28}\\-4x+6y=\frac{-55}{7}\end{matrix}\right.\qquad V=\{(\frac{13}{4},\frac{6}{7})\}\)
4. \(\left\{\begin{matrix}6y=\frac{45}{2}-3x\\-x+6y=\frac{21}{2}\end{matrix}\right.\qquad V=\{(3,\frac{9}{4})\}\)
5. \(\left\{\begin{matrix}-6x+6y=\frac{19}{3}\\x+4y=\frac{-14}{3}\end{matrix}\right.\qquad V=\{(\frac{-16}{9},\frac{-13}{18})\}\)
6. \(\left\{\begin{matrix}-x+6y=\frac{-136}{7}\\5x=-5y+\frac{-55}{7}\end{matrix}\right.\qquad V=\{(\frac{10}{7},-3)\}\)
7. \(\left\{\begin{matrix}-2x+3y=\frac{-255}{11}\\x-2y=\frac{166}{11}\end{matrix}\right.\qquad V=\{(\frac{12}{11},-7)\}\)
8. \(\left\{\begin{matrix}-x-3y=\frac{31}{20}\\5x+2y=\frac{-97}{10}\end{matrix}\right.\qquad V=\{(-2,\frac{3}{20})\}\)
9. \(\left\{\begin{matrix}6x-2y=\frac{-34}{5}\\-3x+y=\frac{17}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-3}{5})\}\)
10. \(\left\{\begin{matrix}-y=\frac{-203}{22}+5x\\6x+6y=\frac{801}{55}\end{matrix}\right.\qquad V=\{(\frac{17}{10},\frac{8}{11})\}\)
11. \(\left\{\begin{matrix}-2x+6y=\frac{-33}{20}\\-2x=y+\frac{-101}{40}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{1}{8})\}\)
12. \(\left\{\begin{matrix}2x-y=\frac{7}{13}\\3x+5y=\frac{-74}{13}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},-1)\}\)