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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-6y=\frac{-389}{63}\\4x=-y+\frac{41}{126}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+3y=\frac{-25}{6}\\-4x-y=\frac{41}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x-3y=\frac{-52}{35}\\5x=y+\frac{-2}{21}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-3y=\frac{438}{95}\\-2x=y+\frac{146}{95}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{713}{80}+6x\\x-y=\frac{-133}{80}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-4y=\frac{48}{7}\\-6x=y+8\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-4y=\frac{-31}{2}\\x-y=\frac{-19}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{-76}{153}+x\\6x+5y=\frac{611}{51}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-2y=\frac{-290}{143}\\-4x-y=\frac{-405}{143}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+2y=\frac{149}{10}\\x=3y+\frac{12}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{-161}{3}-4x\\-x+5y=\frac{53}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{35}{8}-6x\\-5x+6y=\frac{23}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-6y=\frac{-389}{63}\\4x=-y+\frac{41}{126}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{17}{14})\}\)
2. \(\left\{\begin{matrix}5x+3y=\frac{-25}{6}\\-4x-y=\frac{41}{6}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{5}{2})\}\)
3. \(\left\{\begin{matrix}-3x-3y=\frac{-52}{35}\\5x=y+\frac{-2}{21}\end{matrix}\right.\qquad V=\{(\frac{1}{15},\frac{3}{7})\}\)
4. \(\left\{\begin{matrix}-6x-3y=\frac{438}{95}\\-2x=y+\frac{146}{95}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{5}{19})\}\)
5. \(\left\{\begin{matrix}5y=\frac{713}{80}+6x\\x-y=\frac{-133}{80}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{17}{16})\}\)
6. \(\left\{\begin{matrix}-2x-4y=\frac{48}{7}\\-6x=y+8\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{-8}{7})\}\)
7. \(\left\{\begin{matrix}-3x-4y=\frac{-31}{2}\\x-y=\frac{-19}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{17}{4})\}\)
8. \(\left\{\begin{matrix}2y=\frac{-76}{153}+x\\6x+5y=\frac{611}{51}\end{matrix}\right.\qquad V=\{(\frac{14}{9},\frac{9}{17})\}\)
9. \(\left\{\begin{matrix}-3x-2y=\frac{-290}{143}\\-4x-y=\frac{-405}{143}\end{matrix}\right.\qquad V=\{(\frac{8}{11},\frac{-1}{13})\}\)
10. \(\left\{\begin{matrix}3x+2y=\frac{149}{10}\\x=3y+\frac{12}{5}\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{7}{10})\}\)
11. \(\left\{\begin{matrix}2y=\frac{-161}{3}-4x\\-x+5y=\frac{53}{6}\end{matrix}\right.\qquad V=\{(-13,\frac{-5}{6})\}\)
12. \(\left\{\begin{matrix}y=\frac{35}{8}-6x\\-5x+6y=\frac{23}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{11}{8})\}\)