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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+3y=\frac{-776}{39}\\6x=-y+\frac{-274}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+6y=\frac{-13}{3}\\5x+y=\frac{-175}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-y=\frac{-65}{18}\\6x+2y=\frac{91}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{35}{6}-4x\\-x+2y=0\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+4y=2\\2x=y+\frac{-13}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+5y=\frac{85}{42}\\2x=6y+\frac{-157}{35}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-4y=3\\-4x-4y=-72\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+2y=\frac{465}{17}\\5x+y=\frac{771}{34}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{-239}{17}+x\\6x-6y=\frac{1434}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=\frac{402}{65}+2x\\2x+y=\frac{-12}{65}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-2y=\frac{-75}{7}\\x=-2y+\frac{81}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+5y=\frac{-22}{9}\\-5x=2y+\frac{-56}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+3y=\frac{-776}{39}\\6x=-y+\frac{-274}{13}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-14}{13})\}\)
2. \(\left\{\begin{matrix}-2x+6y=\frac{-13}{3}\\5x+y=\frac{-175}{6}\end{matrix}\right.\qquad V=\{(\frac{-16}{3},\frac{-5}{2})\}\)
3. \(\left\{\begin{matrix}-2x-y=\frac{-65}{18}\\6x+2y=\frac{91}{9}\end{matrix}\right.\qquad V=\{(\frac{13}{9},\frac{13}{18})\}\)
4. \(\left\{\begin{matrix}2y=\frac{35}{6}-4x\\-x+2y=0\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{7}{12})\}\)
5. \(\left\{\begin{matrix}-3x+4y=2\\2x=y+\frac{-13}{6}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-1}{2})\}\)
6. \(\left\{\begin{matrix}x+5y=\frac{85}{42}\\2x=6y+\frac{-157}{35}\end{matrix}\right.\qquad V=\{(\frac{-9}{14},\frac{8}{15})\}\)
7. \(\left\{\begin{matrix}x-4y=3\\-4x-4y=-72\end{matrix}\right.\qquad V=\{(15,3)\}\)
8. \(\left\{\begin{matrix}6x+2y=\frac{465}{17}\\5x+y=\frac{771}{34}\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{3}{17})\}\)
9. \(\left\{\begin{matrix}y=\frac{-239}{17}+x\\6x-6y=\frac{1434}{17}\end{matrix}\right.\qquad V=\{(\frac{18}{17},-13)\}\)
10. \(\left\{\begin{matrix}4y=\frac{402}{65}+2x\\2x+y=\frac{-12}{65}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},\frac{6}{5})\}\)
11. \(\left\{\begin{matrix}-3x-2y=\frac{-75}{7}\\x=-2y+\frac{81}{7}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},6)\}\)
12. \(\left\{\begin{matrix}-x+5y=\frac{-22}{9}\\-5x=2y+\frac{-56}{9}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-2}{9})\}\)