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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{-35}{6}+6x\\x+6y=\frac{-295}{36}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+5y=\frac{79}{6}\\6x+y=\frac{1}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-3y=\frac{-113}{15}\\6x=y+\frac{91}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{-17}{3}+4x\\-6x+6y=29\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-y=\frac{-7}{4}\\-6x=-6y+\frac{45}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{-231}{4}+x\\2x-5y=\frac{147}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-5y=\frac{343}{34}\\-6x=y+\frac{325}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-4y=\frac{412}{63}\\2x+y=\frac{-173}{63}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+6y=\frac{-273}{68}\\-5x=y+\frac{173}{68}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-y=\frac{59}{12}\\-5x=5y+\frac{55}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{-51}{5}-2x\\-3x-2y=\frac{84}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+y=\frac{236}{57}\\3x=-6y+\frac{-101}{38}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{-35}{6}+6x\\x+6y=\frac{-295}{36}\end{matrix}\right.\qquad V=\{(\frac{1}{18},\frac{-11}{8})\}\)
2. \(\left\{\begin{matrix}6x+5y=\frac{79}{6}\\6x+y=\frac{1}{2}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{19}{6})\}\)
3. \(\left\{\begin{matrix}-4x-3y=\frac{-113}{15}\\6x=y+\frac{91}{10}\end{matrix}\right.\qquad V=\{(\frac{19}{12},\frac{2}{5})\}\)
4. \(\left\{\begin{matrix}-y=\frac{-17}{3}+4x\\-6x+6y=29\end{matrix}\right.\qquad V=\{(\frac{1}{6},5)\}\)
5. \(\left\{\begin{matrix}5x-y=\frac{-7}{4}\\-6x=-6y+\frac{45}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{17}{4})\}\)
6. \(\left\{\begin{matrix}4y=\frac{-231}{4}+x\\2x-5y=\frac{147}{2}\end{matrix}\right.\qquad V=\{(\frac{7}{4},-14)\}\)
7. \(\left\{\begin{matrix}-3x-5y=\frac{343}{34}\\-6x=y+\frac{325}{17}\end{matrix}\right.\qquad V=\{(\frac{-19}{6},\frac{-2}{17})\}\)
8. \(\left\{\begin{matrix}2x-4y=\frac{412}{63}\\2x+y=\frac{-173}{63}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{-13}{7})\}\)
9. \(\left\{\begin{matrix}5x+6y=\frac{-273}{68}\\-5x=y+\frac{173}{68}\end{matrix}\right.\qquad V=\{(\frac{-9}{20},\frac{-5}{17})\}\)
10. \(\left\{\begin{matrix}-5x-y=\frac{59}{12}\\-5x=5y+\frac{55}{12}\end{matrix}\right.\qquad V=\{(-1,\frac{1}{12})\}\)
11. \(\left\{\begin{matrix}y=\frac{-51}{5}-2x\\-3x-2y=\frac{84}{5}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},-3)\}\)
12. \(\left\{\begin{matrix}-2x+y=\frac{236}{57}\\3x=-6y+\frac{-101}{38}\end{matrix}\right.\qquad V=\{(\frac{-11}{6},\frac{9}{19})\}\)