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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{-269}{33}+x\\-6x-4y=\frac{256}{33}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+3y=\frac{-23}{10}\\-x=-5y+\frac{-35}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+3y=\frac{-19}{10}\\x+4y=\frac{-16}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+5y=\frac{36}{17}\\x+y=\frac{14}{17}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-6y=\frac{100}{11}\\-6x-2y=2\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+y=\frac{-23}{85}\\4x=2y+\frac{-194}{85}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{2}{221}+3x\\4x+y=\frac{-864}{221}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-6y=\frac{-863}{91}\\6x+y=\frac{211}{91}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=9-4x\\-6x+y=\frac{-61}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-5y=\frac{-142}{3}\\-2x=y+\frac{-22}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{-69}{34}-3x\\2x+3y=\frac{-165}{34}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{-148}{51}-2x\\-x-2y=\frac{62}{51}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{-269}{33}+x\\-6x-4y=\frac{256}{33}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{-5}{3})\}\)
2. \(\left\{\begin{matrix}3x+3y=\frac{-23}{10}\\-x=-5y+\frac{-35}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-11}{10})\}\)
3. \(\left\{\begin{matrix}2x+3y=\frac{-19}{10}\\x+4y=\frac{-16}{5}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-9}{10})\}\)
4. \(\left\{\begin{matrix}3x+5y=\frac{36}{17}\\x+y=\frac{14}{17}\end{matrix}\right.\qquad V=\{(1,\frac{-3}{17})\}\)
5. \(\left\{\begin{matrix}-x-6y=\frac{100}{11}\\-6x-2y=2\end{matrix}\right.\qquad V=\{(\frac{2}{11},\frac{-17}{11})\}\)
6. \(\left\{\begin{matrix}x+y=\frac{-23}{85}\\4x=2y+\frac{-194}{85}\end{matrix}\right.\qquad V=\{(\frac{-8}{17},\frac{1}{5})\}\)
7. \(\left\{\begin{matrix}4y=\frac{2}{221}+3x\\4x+y=\frac{-864}{221}\end{matrix}\right.\qquad V=\{(\frac{-14}{17},\frac{-8}{13})\}\)
8. \(\left\{\begin{matrix}-5x-6y=\frac{-863}{91}\\6x+y=\frac{211}{91}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{19}{13})\}\)
9. \(\left\{\begin{matrix}4y=9-4x\\-6x+y=\frac{-61}{4}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-1}{4})\}\)
10. \(\left\{\begin{matrix}-2x-5y=\frac{-142}{3}\\-2x=y+\frac{-22}{3}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},10)\}\)
11. \(\left\{\begin{matrix}y=\frac{-69}{34}-3x\\2x+3y=\frac{-165}{34}\end{matrix}\right.\qquad V=\{(\frac{-3}{17},\frac{-3}{2})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{-148}{51}-2x\\-x-2y=\frac{62}{51}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{1}{17})\}\)