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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-5y=\frac{-35}{3}\\x=3y+\frac{5}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+y=\frac{-19}{6}\\-2x=5y+\frac{53}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{102}{13}+2x\\-3x+y=\frac{-16}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+6y=\frac{-1152}{85}\\3x=2y+\frac{464}{85}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{23}{6}-3x\\-x+2y=\frac{-5}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{203}{18}-2x\\-x+6y=\frac{263}{18}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-13}{6}+x\\-4x-6y=\frac{-107}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-5y=\frac{3}{52}\\-2x+y=\frac{-135}{52}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+2y=\frac{85}{6}\\6x+y=17\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-3y=15\\-3x-2y=52\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-2y=\frac{-119}{30}\\2x=y+\frac{-43}{30}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{-37}{5}-6x\\x+5y=\frac{-59}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-5y=\frac{-35}{3}\\x=3y+\frac{5}{3}\end{matrix}\right.\qquad V=\{(\frac{-13}{3},-2)\}\)
2. \(\left\{\begin{matrix}6x+y=\frac{-19}{6}\\-2x=5y+\frac{53}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-5}{3})\}\)
3. \(\left\{\begin{matrix}5y=\frac{102}{13}+2x\\-3x+y=\frac{-16}{13}\end{matrix}\right.\qquad V=\{(\frac{14}{13},2)\}\)
4. \(\left\{\begin{matrix}-x+6y=\frac{-1152}{85}\\3x=2y+\frac{464}{85}\end{matrix}\right.\qquad V=\{(\frac{6}{17},\frac{-11}{5})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{23}{6}-3x\\-x+2y=\frac{-5}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-7}{12})\}\)
6. \(\left\{\begin{matrix}6y=\frac{203}{18}-2x\\-x+6y=\frac{263}{18}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{9}{4})\}\)
7. \(\left\{\begin{matrix}3y=\frac{-13}{6}+x\\-4x-6y=\frac{-107}{3}\end{matrix}\right.\qquad V=\{(\frac{20}{3},\frac{3}{2})\}\)
8. \(\left\{\begin{matrix}-4x-5y=\frac{3}{52}\\-2x+y=\frac{-135}{52}\end{matrix}\right.\qquad V=\{(\frac{12}{13},\frac{-3}{4})\}\)
9. \(\left\{\begin{matrix}-5x+2y=\frac{85}{6}\\6x+y=17\end{matrix}\right.\qquad V=\{(\frac{7}{6},10)\}\)
10. \(\left\{\begin{matrix}-x-3y=15\\-3x-2y=52\end{matrix}\right.\qquad V=\{(-18,1)\}\)
11. \(\left\{\begin{matrix}6x-2y=\frac{-119}{30}\\2x=y+\frac{-43}{30}\end{matrix}\right.\qquad V=\{(\frac{-11}{20},\frac{1}{3})\}\)
12. \(\left\{\begin{matrix}2y=\frac{-37}{5}-6x\\x+5y=\frac{-59}{10}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},-1)\}\)