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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{-517}{144}+x\\2x+4y=\frac{-25}{36}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{460}{187}+6x\\-5x+4y=\frac{871}{187}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+2y=\frac{-163}{76}\\x=y+\frac{31}{152}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-79}{36}+5x\\6x+y=\frac{73}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-5y=\frac{-49}{6}\\-5x-y=\frac{-25}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-4y=\frac{52}{21}\\-x-3y=\frac{53}{21}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{217}{6}+x\\-5x-4y=\frac{359}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=-2-x\\-3x-3y=8\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+2y=\frac{344}{65}\\-2x-y=\frac{-132}{65}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-5y=\frac{1147}{126}\\x+5y=\frac{-1129}{126}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{173}{40}-6x\\-6x+2y=\frac{-241}{40}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{-32}{15}-x\\-4x-4y=\frac{8}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{-517}{144}+x\\2x+4y=\frac{-25}{36}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{-9}{16})\}\)
2. \(\left\{\begin{matrix}y=\frac{460}{187}+6x\\-5x+4y=\frac{871}{187}\end{matrix}\right.\qquad V=\{(\frac{-3}{11},\frac{14}{17})\}\)
3. \(\left\{\begin{matrix}-5x+2y=\frac{-163}{76}\\x=y+\frac{31}{152}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{3}{8})\}\)
4. \(\left\{\begin{matrix}3y=\frac{-79}{36}+5x\\6x+y=\frac{73}{12}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{3}{4})\}\)
5. \(\left\{\begin{matrix}2x-5y=\frac{-49}{6}\\-5x-y=\frac{-25}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{12},\frac{5}{3})\}\)
6. \(\left\{\begin{matrix}-2x-4y=\frac{52}{21}\\-x-3y=\frac{53}{21}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-9}{7})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{217}{6}+x\\-5x-4y=\frac{359}{6}\end{matrix}\right.\qquad V=\{(\frac{-19}{6},-11)\}\)
8. \(\left\{\begin{matrix}3y=-2-x\\-3x-3y=8\end{matrix}\right.\qquad V=\{(-3,\frac{1}{3})\}\)
9. \(\left\{\begin{matrix}6x+2y=\frac{344}{65}\\-2x-y=\frac{-132}{65}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{4}{5})\}\)
10. \(\left\{\begin{matrix}-3x-5y=\frac{1147}{126}\\x+5y=\frac{-1129}{126}\end{matrix}\right.\qquad V=\{(\frac{-1}{14},\frac{-16}{9})\}\)
11. \(\left\{\begin{matrix}-y=\frac{173}{40}-6x\\-6x+2y=\frac{-241}{40}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{-17}{10})\}\)
12. \(\left\{\begin{matrix}-y=\frac{-32}{15}-x\\-4x-4y=\frac{8}{15}\end{matrix}\right.\qquad V=\{(\frac{-17}{15},1)\}\)