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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+3y=\frac{27}{10}\\5x=5y+\frac{-31}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{45}{28}+x\\4x-4y=\frac{-47}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+3y=\frac{1561}{255}\\x+y=\frac{424}{255}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{-229}{77}+3x\\x+5y=\frac{53}{77}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+5y=\frac{65}{4}\\-x-y=\frac{-13}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+2y=\frac{23}{3}\\-2x=y+\frac{32}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+y=\frac{44}{17}\\-2x+5y=\frac{58}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+4y=\frac{-56}{3}\\3x=-y+-12\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+5y=\frac{-25}{9}\\-x+3y=\frac{31}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+y=\frac{25}{14}\\-2x=-4y+\frac{-22}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-6y=\frac{-6}{5}\\-3x=y+\frac{-73}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-4y=\frac{-44}{13}\\2x+y=\frac{-45}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+3y=\frac{27}{10}\\5x=5y+\frac{-31}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{5}{6})\}\)
2. \(\left\{\begin{matrix}2y=\frac{45}{28}+x\\4x-4y=\frac{-47}{7}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{-1}{14})\}\)
3. \(\left\{\begin{matrix}4x+3y=\frac{1561}{255}\\x+y=\frac{424}{255}\end{matrix}\right.\qquad V=\{(\frac{17}{15},\frac{9}{17})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{-229}{77}+3x\\x+5y=\frac{53}{77}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{-1}{11})\}\)
5. \(\left\{\begin{matrix}5x+5y=\frac{65}{4}\\-x-y=\frac{-13}{4}\end{matrix}\right.\qquad V=\{(3,\frac{1}{4})\}\)
6. \(\left\{\begin{matrix}-3x+2y=\frac{23}{3}\\-2x=y+\frac{32}{9}\end{matrix}\right.\qquad V=\{(\frac{-19}{9},\frac{2}{3})\}\)
7. \(\left\{\begin{matrix}5x+y=\frac{44}{17}\\-2x+5y=\frac{58}{17}\end{matrix}\right.\qquad V=\{(\frac{6}{17},\frac{14}{17})\}\)
8. \(\left\{\begin{matrix}4x+4y=\frac{-56}{3}\\3x=-y+-12\end{matrix}\right.\qquad V=\{(\frac{-11}{3},-1)\}\)
9. \(\left\{\begin{matrix}6x+5y=\frac{-25}{9}\\-x+3y=\frac{31}{9}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{7}{9})\}\)
10. \(\left\{\begin{matrix}4x+y=\frac{25}{14}\\-2x=-4y+\frac{-22}{7}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{-1}{2})\}\)
11. \(\left\{\begin{matrix}3x-6y=\frac{-6}{5}\\-3x=y+\frac{-73}{15}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{13}{15})\}\)
12. \(\left\{\begin{matrix}6x-4y=\frac{-44}{13}\\2x+y=\frac{-45}{13}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},-1)\}\)