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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+4y=\frac{-209}{39}\\4x=-3y+\frac{-875}{39}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{-73}{36}+x\\-4x-4y=\frac{-73}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-3y=28\\2x-y=\frac{-52}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+3y=-24\\2x=y+-10\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+2y=\frac{-86}{33}\\x-5y=\frac{85}{66}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{437}{255}+x\\6x+2y=\frac{-1262}{255}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-5y=\frac{-132}{35}\\-5x=4y+\frac{-27}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+y=\frac{-173}{15}\\5x=2y+\frac{-109}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+3y=\frac{17}{10}\\-4x=-2y+\frac{29}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-2y=\frac{-163}{33}\\x-y=\frac{-19}{66}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{12}{133}-x\\-4x-6y=\frac{-188}{133}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{-13}{3}+4x\\4x+y=\frac{11}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+4y=\frac{-209}{39}\\4x=-3y+\frac{-875}{39}\end{matrix}\right.\qquad V=\{(\frac{-17}{3},\frac{1}{13})\}\)
2. \(\left\{\begin{matrix}-y=\frac{-73}{36}+x\\-4x-4y=\frac{-73}{9}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{9}{4})\}\)
3. \(\left\{\begin{matrix}-4x-3y=28\\2x-y=\frac{-52}{3}\end{matrix}\right.\qquad V=\{(-8,\frac{4}{3})\}\)
4. \(\left\{\begin{matrix}6x+3y=-24\\2x=y+-10\end{matrix}\right.\qquad V=\{(\frac{-9}{2},1)\}\)
5. \(\left\{\begin{matrix}-5x+2y=\frac{-86}{33}\\x-5y=\frac{85}{66}\end{matrix}\right.\qquad V=\{(\frac{5}{11},\frac{-1}{6})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{437}{255}+x\\6x+2y=\frac{-1262}{255}\end{matrix}\right.\qquad V=\{(\frac{-11}{17},\frac{-8}{15})\}\)
7. \(\left\{\begin{matrix}-x-5y=\frac{-132}{35}\\-5x=4y+\frac{-27}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{5}{7})\}\)
8. \(\left\{\begin{matrix}4x+y=\frac{-173}{15}\\5x=2y+\frac{-109}{15}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{-11}{5})\}\)
9. \(\left\{\begin{matrix}x+3y=\frac{17}{10}\\-4x=-2y+\frac{29}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{9}{10})\}\)
10. \(\left\{\begin{matrix}5x-2y=\frac{-163}{33}\\x-y=\frac{-19}{66}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},\frac{-7}{6})\}\)
11. \(\left\{\begin{matrix}2y=\frac{12}{133}-x\\-4x-6y=\frac{-188}{133}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{-10}{19})\}\)
12. \(\left\{\begin{matrix}2y=\frac{-13}{3}+4x\\4x+y=\frac{11}{6}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-5}{6})\}\)