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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3y=\frac{-47}{6}+2x\\-3x-y=\frac{-241}{36}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+2y=\frac{17}{6}\\-3x-y=\frac{-11}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+6y=\frac{1209}{80}\\x-3y=\frac{-717}{80}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-2y=\frac{-319}{20}\\2x=-3y+\frac{241}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{-451}{26}-5x\\-6x-y=\frac{357}{52}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-2y=\frac{-9}{22}\\4x+y=\frac{1}{44}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-3y=\frac{-128}{19}\\-x-4y=\frac{20}{57}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+6y=\frac{65}{33}\\6x+y=\frac{-225}{22}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+6y=\frac{-146}{7}\\-x=4y+\frac{208}{21}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+y=\frac{-30}{7}\\3x=-6y+\frac{-89}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+2y=\frac{-7}{6}\\4x+y=\frac{-19}{12}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{-249}{95}+x\\-5x-2y=\frac{199}{19}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3y=\frac{-47}{6}+2x\\-3x-y=\frac{-241}{36}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{13}{9})\}\)
2. \(\left\{\begin{matrix}2x+2y=\frac{17}{6}\\-3x-y=\frac{-11}{4}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{3}{4})\}\)
3. \(\left\{\begin{matrix}3x+6y=\frac{1209}{80}\\x-3y=\frac{-717}{80}\end{matrix}\right.\qquad V=\{(\frac{-9}{16},\frac{14}{5})\}\)
4. \(\left\{\begin{matrix}x-2y=\frac{-319}{20}\\2x=-3y+\frac{241}{10}\end{matrix}\right.\qquad V=\{(\frac{1}{20},8)\}\)
5. \(\left\{\begin{matrix}6y=\frac{-451}{26}-5x\\-6x-y=\frac{357}{52}\end{matrix}\right.\qquad V=\{(\frac{-10}{13},\frac{-9}{4})\}\)
6. \(\left\{\begin{matrix}-6x-2y=\frac{-9}{22}\\4x+y=\frac{1}{44}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{3}{4})\}\)
7. \(\left\{\begin{matrix}-6x-3y=\frac{-128}{19}\\-x-4y=\frac{20}{57}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-8}{19})\}\)
8. \(\left\{\begin{matrix}-4x+6y=\frac{65}{33}\\6x+y=\frac{-225}{22}\end{matrix}\right.\qquad V=\{(\frac{-19}{12},\frac{-8}{11})\}\)
9. \(\left\{\begin{matrix}6x+6y=\frac{-146}{7}\\-x=4y+\frac{208}{21}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-15}{7})\}\)
10. \(\left\{\begin{matrix}-6x+y=\frac{-30}{7}\\3x=-6y+\frac{-89}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-16}{7})\}\)
11. \(\left\{\begin{matrix}5x+2y=\frac{-7}{6}\\4x+y=\frac{-19}{12}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{13}{12})\}\)
12. \(\left\{\begin{matrix}6y=\frac{-249}{95}+x\\-5x-2y=\frac{199}{19}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{-14}{19})\}\)