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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{-45}{14}+5x\\x-6y=\frac{-127}{14}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-5y=0\\x=-3y+2\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{505}{16}-5x\\-2x-y=\frac{-197}{16}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+6y=\frac{146}{11}\\-x-3y=\frac{-164}{33}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-4y=\frac{58}{3}\\-x-3y=\frac{47}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-4y=\frac{32}{33}\\x+6y=\frac{-68}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+3y=\frac{-131}{17}\\-x-y=\frac{62}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{-272}{209}+x\\-5x+6y=\frac{-448}{209}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-y=\frac{-319}{170}\\5x+3y=\frac{-143}{170}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=\frac{9}{2}-4x\\-x-6y=\frac{-49}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=-23+4x\\-x-3y=\frac{-7}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{-3}{4}-4x\\2x+y=\frac{-9}{8}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{-45}{14}+5x\\x-6y=\frac{-127}{14}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{10}{7})\}\)
2. \(\left\{\begin{matrix}-5x-5y=0\\x=-3y+2\end{matrix}\right.\qquad V=\{(-1,1)\}\)
3. \(\left\{\begin{matrix}5y=\frac{505}{16}-5x\\-2x-y=\frac{-197}{16}\end{matrix}\right.\qquad V=\{(6,\frac{5}{16})\}\)
4. \(\left\{\begin{matrix}3x+6y=\frac{146}{11}\\-x-3y=\frac{-164}{33}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{6}{11})\}\)
5. \(\left\{\begin{matrix}-2x-4y=\frac{58}{3}\\-x-3y=\frac{47}{3}\end{matrix}\right.\qquad V=\{(\frac{7}{3},-6)\}\)
6. \(\left\{\begin{matrix}2x-4y=\frac{32}{33}\\x+6y=\frac{-68}{11}\end{matrix}\right.\qquad V=\{(\frac{-13}{11},\frac{-5}{6})\}\)
7. \(\left\{\begin{matrix}-2x+3y=\frac{-131}{17}\\-x-y=\frac{62}{17}\end{matrix}\right.\qquad V=\{(\frac{-11}{17},-3)\}\)
8. \(\left\{\begin{matrix}6y=\frac{-272}{209}+x\\-5x+6y=\frac{-448}{209}\end{matrix}\right.\qquad V=\{(\frac{4}{19},\frac{-2}{11})\}\)
9. \(\left\{\begin{matrix}2x-y=\frac{-319}{170}\\5x+3y=\frac{-143}{170}\end{matrix}\right.\qquad V=\{(\frac{-10}{17},\frac{7}{10})\}\)
10. \(\left\{\begin{matrix}4y=\frac{9}{2}-4x\\-x-6y=\frac{-49}{8}\end{matrix}\right.\qquad V=\{(\frac{1}{8},1)\}\)
11. \(\left\{\begin{matrix}4y=-23+4x\\-x-3y=\frac{-7}{4}\end{matrix}\right.\qquad V=\{(\frac{19}{4},-1)\}\)
12. \(\left\{\begin{matrix}-4y=\frac{-3}{4}-4x\\2x+y=\frac{-9}{8}\end{matrix}\right.\qquad V=\{(\frac{-7}{16},\frac{-1}{4})\}\)