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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-4y=\frac{173}{17}\\5x-5y=\frac{455}{34}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+4y=-2\\-5x=5y+\frac{105}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x+2y=\frac{149}{165}\\-3x+4y=\frac{59}{55}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-6y=\frac{-43}{42}\\-4x=-3y+\frac{23}{21}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-4y=\frac{28}{5}\\-x=5y+\frac{-28}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=34+3x\\6x-y=\frac{-178}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+6y=\frac{-222}{7}\\-x=3y+\frac{122}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{17}{3}+4x\\-2x+y=\frac{-11}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+5y=\frac{85}{3}\\x+y=\frac{-7}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+3y=-14\\5x+4y=-44\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+y=\frac{496}{65}\\-5x=5y+\frac{141}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-5y=\frac{168}{13}\\5x=-y+\frac{-213}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-4y=\frac{173}{17}\\5x-5y=\frac{455}{34}\end{matrix}\right.\qquad V=\{(\frac{3}{17},\frac{-5}{2})\}\)
2. \(\left\{\begin{matrix}-x+4y=-2\\-5x=5y+\frac{105}{2}\end{matrix}\right.\qquad V=\{(-8,\frac{-5}{2})\}\)
3. \(\left\{\begin{matrix}-x+2y=\frac{149}{165}\\-3x+4y=\frac{59}{55}\end{matrix}\right.\qquad V=\{(\frac{11}{15},\frac{9}{11})\}\)
4. \(\left\{\begin{matrix}x-6y=\frac{-43}{42}\\-4x=-3y+\frac{23}{21}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{1}{7})\}\)
5. \(\left\{\begin{matrix}2x-4y=\frac{28}{5}\\-x=5y+\frac{-28}{3}\end{matrix}\right.\qquad V=\{(\frac{14}{3},\frac{14}{15})\}\)
6. \(\left\{\begin{matrix}-6y=34+3x\\6x-y=\frac{-178}{3}\end{matrix}\right.\qquad V=\{(-10,\frac{-2}{3})\}\)
7. \(\left\{\begin{matrix}4x+6y=\frac{-222}{7}\\-x=3y+\frac{122}{7}\end{matrix}\right.\qquad V=\{(\frac{11}{7},\frac{-19}{3})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{17}{3}+4x\\-2x+y=\frac{-11}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-7}{6})\}\)
9. \(\left\{\begin{matrix}-5x+5y=\frac{85}{3}\\x+y=\frac{-7}{3}\end{matrix}\right.\qquad V=\{(-4,\frac{5}{3})\}\)
10. \(\left\{\begin{matrix}-x+3y=-14\\5x+4y=-44\end{matrix}\right.\qquad V=\{(-4,-6)\}\)
11. \(\left\{\begin{matrix}-6x+y=\frac{496}{65}\\-5x=5y+\frac{141}{13}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},\frac{-10}{13})\}\)
12. \(\left\{\begin{matrix}-2x-5y=\frac{168}{13}\\5x=-y+\frac{-213}{13}\end{matrix}\right.\qquad V=\{(-3,\frac{-18}{13})\}\)