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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-6y=\frac{25}{7}\\4x+y=\frac{-17}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{-35}{12}+4x\\-x+2y=\frac{-25}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-y=\frac{-115}{78}\\-4x=-3y+\frac{95}{117}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+2y=\frac{37}{2}\\2x+y=9\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-6y=\frac{-63}{8}\\3x+y=\frac{35}{16}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+6y=\frac{-303}{5}\\-6x=-2y+\frac{-82}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{3}{2}-6x\\-x+4y=\frac{-11}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+2y=\frac{-14}{3}\\-5x+6y=-16\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{-47}{6}-x\\-2x-2y=\frac{44}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{957}{68}+5x\\-x+5y=\frac{-167}{68}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-5y=\frac{367}{18}\\-6x=2y+\frac{31}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x-5y=\frac{-828}{7}\\-4x=-y+\frac{-526}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-6y=\frac{25}{7}\\4x+y=\frac{-17}{7}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-3}{7})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{-35}{12}+4x\\-x+2y=\frac{-25}{6}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-5}{4})\}\)
3. \(\left\{\begin{matrix}3x-y=\frac{-115}{78}\\-4x=-3y+\frac{95}{117}\end{matrix}\right.\qquad V=\{(\frac{-13}{18},\frac{-9}{13})\}\)
4. \(\left\{\begin{matrix}3x+2y=\frac{37}{2}\\2x+y=9\end{matrix}\right.\qquad V=\{(\frac{-1}{2},10)\}\)
5. \(\left\{\begin{matrix}-6x-6y=\frac{-63}{8}\\3x+y=\frac{35}{16}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{7}{8})\}\)
6. \(\left\{\begin{matrix}x+6y=\frac{-303}{5}\\-6x=-2y+\frac{-82}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},-10)\}\)
7. \(\left\{\begin{matrix}6y=\frac{3}{2}-6x\\-x+4y=\frac{-11}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-1}{2})\}\)
8. \(\left\{\begin{matrix}-x+2y=\frac{-14}{3}\\-5x+6y=-16\end{matrix}\right.\qquad V=\{(1,\frac{-11}{6})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{-47}{6}-x\\-2x-2y=\frac{44}{3}\end{matrix}\right.\qquad V=\{(\frac{-15}{2},\frac{1}{6})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{957}{68}+5x\\-x+5y=\frac{-167}{68}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{-16}{17})\}\)
11. \(\left\{\begin{matrix}-x-5y=\frac{367}{18}\\-6x=2y+\frac{31}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{18},-4)\}\)
12. \(\left\{\begin{matrix}-6x-5y=\frac{-828}{7}\\-4x=-y+\frac{-526}{7}\end{matrix}\right.\qquad V=\{(19,\frac{6}{7})\}\)