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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=2+x\\5x+6y=\frac{-82}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6y=\frac{-31}{4}-3x\\x-6y=\frac{-55}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{-1863}{176}-6x\\-x+y=\frac{349}{176}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=\frac{-133}{10}-2x\\5x+y=\frac{-511}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-y=\frac{1095}{209}\\-4x-4y=\frac{948}{209}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{38}{33}+x\\-3x-6y=\frac{5}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-y=\frac{48}{65}\\6x=2y+\frac{-254}{65}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{-47}{13}-3x\\-x-5y=\frac{-349}{52}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+4y=\frac{119}{33}\\-6x=-2y+\frac{-4}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-4y=\frac{-17}{3}\\-6x-y=\frac{-20}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{-473}{105}+4x\\5x+y=\frac{11}{21}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{9}{4}+6x\\2x-3y=\frac{-79}{12}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=2+x\\5x+6y=\frac{-82}{3}\end{matrix}\right.\qquad V=\{(\frac{-19}{3},\frac{13}{18})\}\)
2. \(\left\{\begin{matrix}-6y=\frac{-31}{4}-3x\\x-6y=\frac{-55}{12}\end{matrix}\right.\qquad V=\{(\frac{-19}{12},\frac{1}{2})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{-1863}{176}-6x\\-x+y=\frac{349}{176}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},\frac{7}{16})\}\)
4. \(\left\{\begin{matrix}6y=\frac{-133}{10}-2x\\5x+y=\frac{-511}{20}\end{matrix}\right.\qquad V=\{(-5,\frac{-11}{20})\}\)
5. \(\left\{\begin{matrix}5x-y=\frac{1095}{209}\\-4x-4y=\frac{948}{209}\end{matrix}\right.\qquad V=\{(\frac{13}{19},\frac{-20}{11})\}\)
6. \(\left\{\begin{matrix}y=\frac{38}{33}+x\\-3x-6y=\frac{5}{11}\end{matrix}\right.\qquad V=\{(\frac{-9}{11},\frac{1}{3})\}\)
7. \(\left\{\begin{matrix}-4x-y=\frac{48}{65}\\6x=2y+\frac{-254}{65}\end{matrix}\right.\qquad V=\{(\frac{-5}{13},\frac{4}{5})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{-47}{13}-3x\\-x-5y=\frac{-349}{52}\end{matrix}\right.\qquad V=\{(\frac{6}{13},\frac{5}{4})\}\)
9. \(\left\{\begin{matrix}x+4y=\frac{119}{33}\\-6x=-2y+\frac{-4}{11}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{9}{11})\}\)
10. \(\left\{\begin{matrix}-3x-4y=\frac{-17}{3}\\-6x-y=\frac{-20}{3}\end{matrix}\right.\qquad V=\{(1,\frac{2}{3})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{-473}{105}+4x\\5x+y=\frac{11}{21}\end{matrix}\right.\qquad V=\{(\frac{-4}{15},\frac{13}{7})\}\)
12. \(\left\{\begin{matrix}-y=\frac{9}{4}+6x\\2x-3y=\frac{-79}{12}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{7}{4})\}\)