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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-4y=\frac{434}{255}\\5x=-y+\frac{-671}{255}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{-41}{44}+x\\6x-3y=\frac{105}{22}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+3y=\frac{36}{7}\\x+y=\frac{10}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-2y=\frac{-214}{13}\\3x-y=\frac{-113}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{-201}{91}-6x\\-x-y=\frac{128}{91}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+5y=\frac{208}{33}\\3x-y=\frac{-35}{33}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{54}{11}+2x\\-x+3y=\frac{27}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{146}{17}+6x\\-4x+y=\frac{35}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{-123}{8}-4x\\-5x-y=\frac{129}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{55}{3}-4x\\4x-5y=\frac{85}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+6y=\frac{118}{5}\\-5x-3y=-10\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-2y=\frac{-536}{63}\\-x+y=\frac{187}{63}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-4y=\frac{434}{255}\\5x=-y+\frac{-671}{255}\end{matrix}\right.\qquad V=\{(\frac{-6}{17},\frac{-13}{15})\}\)
2. \(\left\{\begin{matrix}2y=\frac{-41}{44}+x\\6x-3y=\frac{105}{22}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-1}{11})\}\)
3. \(\left\{\begin{matrix}6x+3y=\frac{36}{7}\\x+y=\frac{10}{7}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{8}{7})\}\)
4. \(\left\{\begin{matrix}2x-2y=\frac{-214}{13}\\3x-y=\frac{-113}{13}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},8)\}\)
5. \(\left\{\begin{matrix}-3y=\frac{-201}{91}-6x\\-x-y=\frac{128}{91}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{-9}{13})\}\)
6. \(\left\{\begin{matrix}-4x+5y=\frac{208}{33}\\3x-y=\frac{-35}{33}\end{matrix}\right.\qquad V=\{(\frac{1}{11},\frac{4}{3})\}\)
7. \(\left\{\begin{matrix}6y=\frac{54}{11}+2x\\-x+3y=\frac{27}{11}\end{matrix}\right.\qquad V=\{(\frac{17}{11},\frac{4}{3})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{146}{17}+6x\\-4x+y=\frac{35}{17}\end{matrix}\right.\qquad V=\{(\frac{-13}{17},-1)\}\)
9. \(\left\{\begin{matrix}3y=\frac{-123}{8}-4x\\-5x-y=\frac{129}{8}\end{matrix}\right.\qquad V=\{(-3,\frac{-9}{8})\}\)
10. \(\left\{\begin{matrix}y=\frac{55}{3}-4x\\4x-5y=\frac{85}{3}\end{matrix}\right.\qquad V=\{(5,\frac{-5}{3})\}\)
11. \(\left\{\begin{matrix}x+6y=\frac{118}{5}\\-5x-3y=-10\end{matrix}\right.\qquad V=\{(\frac{-2}{5},4)\}\)
12. \(\left\{\begin{matrix}5x-2y=\frac{-536}{63}\\-x+y=\frac{187}{63}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{19}{9})\}\)