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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-6y=5\\x-3y=\frac{7}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+4y=\frac{23}{42}\\-4x=y+\frac{-191}{42}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{-409}{15}-5x\\5x+y=\frac{-917}{30}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{2}{3}-6x\\x+5y=\frac{-11}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{547}{19}+5x\\-x+6y=\frac{-13}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{78}{19}+6x\\-x-y=\frac{5}{38}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{633}{17}+5x\\x-6y=\frac{-657}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-86}{3}-4x\\x-4y=\frac{-32}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{-436}{85}-4x\\-2x+y=\frac{-7}{85}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-3y=\frac{71}{85}\\5x-3y=\frac{55}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-5y=\frac{-545}{306}\\-x+2y=\frac{-503}{153}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-y=\frac{139}{36}\\2x-6y=\frac{-23}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-6y=5\\x-3y=\frac{7}{6}\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{1}{2})\}\)
2. \(\left\{\begin{matrix}-3x+4y=\frac{23}{42}\\-4x=y+\frac{-191}{42}\end{matrix}\right.\qquad V=\{(\frac{13}{14},\frac{5}{6})\}\)
3. \(\left\{\begin{matrix}4y=\frac{-409}{15}-5x\\5x+y=\frac{-917}{30}\end{matrix}\right.\qquad V=\{(\frac{-19}{3},\frac{11}{10})\}\)
4. \(\left\{\begin{matrix}5y=\frac{2}{3}-6x\\x+5y=\frac{-11}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-7}{15})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{547}{19}+5x\\-x+6y=\frac{-13}{19}\end{matrix}\right.\qquad V=\{(-5,\frac{-18}{19})\}\)
6. \(\left\{\begin{matrix}3y=\frac{78}{19}+6x\\-x-y=\frac{5}{38}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{7}{19})\}\)
7. \(\left\{\begin{matrix}6y=\frac{633}{17}+5x\\x-6y=\frac{-657}{17}\end{matrix}\right.\qquad V=\{(\frac{6}{17},\frac{13}{2})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-86}{3}-4x\\x-4y=\frac{-32}{3}\end{matrix}\right.\qquad V=\{(\frac{-20}{3},1)\}\)
9. \(\left\{\begin{matrix}4y=\frac{-436}{85}-4x\\-2x+y=\frac{-7}{85}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-15}{17})\}\)
10. \(\left\{\begin{matrix}-x-3y=\frac{71}{85}\\5x-3y=\frac{55}{17}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-7}{17})\}\)
11. \(\left\{\begin{matrix}-6x-5y=\frac{-545}{306}\\-x+2y=\frac{-503}{153}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{-19}{18})\}\)
12. \(\left\{\begin{matrix}-5x-y=\frac{139}{36}\\2x-6y=\frac{-23}{2}\end{matrix}\right.\qquad V=\{(\frac{-13}{12},\frac{14}{9})\}\)