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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{-51}{13}-x\\-6x+4y=\frac{204}{65}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-2y=\frac{-348}{77}\\-x+4y=\frac{871}{77}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+2y=\frac{3}{20}\\-x-y=\frac{1}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=-9+5x\\x+5y=39\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-3y=\frac{-317}{26}\\-3x-6y=\frac{471}{26}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{-139}{2}+x\\3x+3y=\frac{93}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{1208}{17}-6x\\-x+3y=\frac{-955}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{-91}{6}+3x\\5x+y=\frac{181}{36}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+4y=21\\5x=-4y+25\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+4y=\frac{-413}{40}\\-x=-y+\frac{-97}{40}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+3y=\frac{45}{2}\\x-3y=\frac{-117}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-6y=\frac{14}{3}\\-6x-5y=\frac{-53}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{-51}{13}-x\\-6x+4y=\frac{204}{65}\end{matrix}\right.\qquad V=\{(\frac{-12}{13},\frac{-3}{5})\}\)
2. \(\left\{\begin{matrix}-2x-2y=\frac{-348}{77}\\-x+4y=\frac{871}{77}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},\frac{19}{7})\}\)
3. \(\left\{\begin{matrix}3x+2y=\frac{3}{20}\\-x-y=\frac{1}{5}\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{-3}{4})\}\)
4. \(\left\{\begin{matrix}6y=-9+5x\\x+5y=39\end{matrix}\right.\qquad V=\{(9,6)\}\)
5. \(\left\{\begin{matrix}x-3y=\frac{-317}{26}\\-3x-6y=\frac{471}{26}\end{matrix}\right.\qquad V=\{(\frac{-17}{2},\frac{16}{13})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{-139}{2}+x\\3x+3y=\frac{93}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},18)\}\)
7. \(\left\{\begin{matrix}-4y=\frac{1208}{17}-6x\\-x+3y=\frac{-955}{17}\end{matrix}\right.\qquad V=\{(\frac{-14}{17},-19)\}\)
8. \(\left\{\begin{matrix}-6y=\frac{-91}{6}+3x\\5x+y=\frac{181}{36}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{9}{4})\}\)
9. \(\left\{\begin{matrix}x+4y=21\\5x=-4y+25\end{matrix}\right.\qquad V=\{(1,5)\}\)
10. \(\left\{\begin{matrix}-5x+4y=\frac{-413}{40}\\-x=-y+\frac{-97}{40}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{-9}{5})\}\)
11. \(\left\{\begin{matrix}5x+3y=\frac{45}{2}\\x-3y=\frac{-117}{10}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{9}{2})\}\)
12. \(\left\{\begin{matrix}x-6y=\frac{14}{3}\\-6x-5y=\frac{-53}{18}\end{matrix}\right.\qquad V=\{(1,\frac{-11}{18})\}\)