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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+6y=\frac{81}{10}\\3x=y+\frac{-3}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{19}{12}-3x\\-3x-y=\frac{43}{24}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{21}{4}+5x\\-x-y=\frac{61}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-2y=\frac{-454}{5}\\-x=-2y+\frac{94}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{-440}{323}+4x\\-4x+4y=\frac{-848}{323}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{-31}{9}-2x\\-x-y=\frac{-22}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+6y=\frac{141}{28}\\-x+5y=\frac{149}{28}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-y=\frac{13}{2}\\6x=3y+\frac{-11}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{1326}{95}+6x\\6x+y=\frac{-1551}{95}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{-1}{26}-2x\\6x-y=\frac{-43}{26}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-4y=\frac{1}{20}\\-5x=y+\frac{-11}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{241}{65}+5x\\-5x+y=\frac{553}{65}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+6y=\frac{81}{10}\\3x=y+\frac{-3}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{6}{5})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{19}{12}-3x\\-3x-y=\frac{43}{24}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{-9}{8})\}\)
3. \(\left\{\begin{matrix}3y=\frac{21}{4}+5x\\-x-y=\frac{61}{20}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{-5}{4})\}\)
4. \(\left\{\begin{matrix}5x-2y=\frac{-454}{5}\\-x=-2y+\frac{94}{5}\end{matrix}\right.\qquad V=\{(-18,\frac{2}{5})\}\)
5. \(\left\{\begin{matrix}y=\frac{-440}{323}+4x\\-4x+4y=\frac{-848}{323}\end{matrix}\right.\qquad V=\{(\frac{4}{17},\frac{-8}{19})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{-31}{9}-2x\\-x-y=\frac{-22}{9}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{5}{3})\}\)
7. \(\left\{\begin{matrix}-3x+6y=\frac{141}{28}\\-x+5y=\frac{149}{28}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{17}{14})\}\)
8. \(\left\{\begin{matrix}-3x-y=\frac{13}{2}\\6x=3y+\frac{-11}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-3}{2})\}\)
9. \(\left\{\begin{matrix}-6y=\frac{1326}{95}+6x\\6x+y=\frac{-1551}{95}\end{matrix}\right.\qquad V=\{(\frac{-14}{5},\frac{9}{19})\}\)
10. \(\left\{\begin{matrix}3y=\frac{-1}{26}-2x\\6x-y=\frac{-43}{26}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{2}{13})\}\)
11. \(\left\{\begin{matrix}-3x-4y=\frac{1}{20}\\-5x=y+\frac{-11}{4}\end{matrix}\right.\qquad V=\{(\frac{13}{20},\frac{-1}{2})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{241}{65}+5x\\-5x+y=\frac{553}{65}\end{matrix}\right.\qquad V=\{(\frac{-19}{13},\frac{6}{5})\}\)