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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+2y=\frac{2}{5}\\5x=-2y+6\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{392}{19}+4x\\x-5y=\frac{377}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+y=\frac{-91}{45}\\-5x+5y=\frac{-211}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3y=\frac{311}{14}-5x\\4x-y=\frac{267}{14}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-5y=\frac{1670}{57}\\3x-y=\frac{352}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-3y=\frac{-101}{18}\\-4x+5y=\frac{55}{18}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-4y=\frac{-11}{20}\\-5x=y+\frac{-103}{16}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+2y=\frac{-149}{28}\\-x-3y=\frac{-353}{56}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+6y=\frac{-9}{5}\\5x=y+\frac{-83}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-y=\frac{-13}{7}\\2x-6y=\frac{-50}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{173}{17}+3x\\-x-6y=\frac{511}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-4y=\frac{-23}{3}\\-x+y=\frac{85}{36}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+2y=\frac{2}{5}\\5x=-2y+6\end{matrix}\right.\qquad V=\{(\frac{14}{15},\frac{2}{3})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{392}{19}+4x\\x-5y=\frac{377}{19}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},-4)\}\)
3. \(\left\{\begin{matrix}2x+y=\frac{-91}{45}\\-5x+5y=\frac{-211}{9}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{-19}{5})\}\)
4. \(\left\{\begin{matrix}-3y=\frac{311}{14}-5x\\4x-y=\frac{267}{14}\end{matrix}\right.\qquad V=\{(5,\frac{13}{14})\}\)
5. \(\left\{\begin{matrix}5x-5y=\frac{1670}{57}\\3x-y=\frac{352}{19}\end{matrix}\right.\qquad V=\{(\frac{19}{3},\frac{9}{19})\}\)
6. \(\left\{\begin{matrix}-x-3y=\frac{-101}{18}\\-4x+5y=\frac{55}{18}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{3}{2})\}\)
7. \(\left\{\begin{matrix}-2x-4y=\frac{-11}{20}\\-5x=y+\frac{-103}{16}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{-9}{16})\}\)
8. \(\left\{\begin{matrix}-6x+2y=\frac{-149}{28}\\-x-3y=\frac{-353}{56}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{13}{8})\}\)
9. \(\left\{\begin{matrix}5x+6y=\frac{-9}{5}\\5x=y+\frac{-83}{15}\end{matrix}\right.\qquad V=\{(-1,\frac{8}{15})\}\)
10. \(\left\{\begin{matrix}x-y=\frac{-13}{7}\\2x-6y=\frac{-50}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{6}{7})\}\)
11. \(\left\{\begin{matrix}-2y=\frac{173}{17}+3x\\-x-6y=\frac{511}{17}\end{matrix}\right.\qquad V=\{(\frac{-1}{17},-5)\}\)
12. \(\left\{\begin{matrix}6x-4y=\frac{-23}{3}\\-x+y=\frac{85}{36}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{13}{4})\}\)