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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+5y=\frac{-11}{2}\\x+y=\frac{15}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=-47+2x\\-x-y=14\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-2y=\frac{187}{65}\\2x+5y=\frac{-295}{26}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+y=\frac{187}{30}\\2x-3y=\frac{-51}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{2}{17}-6x\\-x+y=\frac{5}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-3y=\frac{-582}{55}\\2x=y+\frac{-194}{55}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+y=\frac{-19}{9}\\6x-5y=\frac{-83}{45}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{67}{51}+2x\\-4x+4y=\frac{236}{51}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-5y=\frac{-7}{2}\\x=-5y+\frac{-21}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+3y=\frac{35}{2}\\3x+6y=\frac{69}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-4y=\frac{-84}{5}\\x+4y=\frac{24}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+3y=\frac{1860}{187}\\2x=y+\frac{400}{187}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+5y=\frac{-11}{2}\\x+y=\frac{15}{8}\end{matrix}\right.\qquad V=\{(\frac{17}{8},\frac{-1}{4})\}\)
2. \(\left\{\begin{matrix}3y=-47+2x\\-x-y=14\end{matrix}\right.\qquad V=\{(1,-15)\}\)
3. \(\left\{\begin{matrix}x-2y=\frac{187}{65}\\2x+5y=\frac{-295}{26}\end{matrix}\right.\qquad V=\{(\frac{-12}{13},\frac{-19}{10})\}\)
4. \(\left\{\begin{matrix}-6x+y=\frac{187}{30}\\2x-3y=\frac{-51}{10}\end{matrix}\right.\qquad V=\{(\frac{-17}{20},\frac{17}{15})\}\)
5. \(\left\{\begin{matrix}-2y=\frac{2}{17}-6x\\-x+y=\frac{5}{17}\end{matrix}\right.\qquad V=\{(\frac{3}{17},\frac{8}{17})\}\)
6. \(\left\{\begin{matrix}6x-3y=\frac{-582}{55}\\2x=y+\frac{-194}{55}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{-14}{11})\}\)
7. \(\left\{\begin{matrix}5x+y=\frac{-19}{9}\\6x-5y=\frac{-83}{45}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-1}{9})\}\)
8. \(\left\{\begin{matrix}-y=\frac{67}{51}+2x\\-4x+4y=\frac{236}{51}\end{matrix}\right.\qquad V=\{(\frac{-14}{17},\frac{1}{3})\}\)
9. \(\left\{\begin{matrix}6x-5y=\frac{-7}{2}\\x=-5y+\frac{-21}{2}\end{matrix}\right.\qquad V=\{(-2,\frac{-17}{10})\}\)
10. \(\left\{\begin{matrix}x+3y=\frac{35}{2}\\3x+6y=\frac{69}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},6)\}\)
11. \(\left\{\begin{matrix}-4x-4y=\frac{-84}{5}\\x+4y=\frac{24}{5}\end{matrix}\right.\qquad V=\{(4,\frac{1}{5})\}\)
12. \(\left\{\begin{matrix}6x+3y=\frac{1860}{187}\\2x=y+\frac{400}{187}\end{matrix}\right.\qquad V=\{(\frac{15}{11},\frac{10}{17})\}\)