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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+3y=-61\\3x-2y=43\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{-621}{17}-6x\\3x+y=\frac{-591}{34}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{-55}{7}-4x\\-x+2y=\frac{-57}{28}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+y=\frac{-173}{2}\\2x-5y=\frac{25}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+4y=\frac{-97}{15}\\2x=-y+\frac{-4}{45}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-5y=\frac{-99}{2}\\-4x+y=\frac{-477}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-2y=\frac{676}{119}\\x-y=\frac{-206}{119}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{81}{8}+3x\\x-y=\frac{-5}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{91}{60}-5x\\x+5y=\frac{1}{12}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{-47}{6}+3x\\-x-y=\frac{1}{18}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+y=\frac{191}{17}\\2x=3y+\frac{141}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{-59}{15}-4x\\-x-y=\frac{16}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+3y=-61\\3x-2y=43\end{matrix}\right.\qquad V=\{(1,-20)\}\)
2. \(\left\{\begin{matrix}4y=\frac{-621}{17}-6x\\3x+y=\frac{-591}{34}\end{matrix}\right.\qquad V=\{(\frac{-11}{2},\frac{-15}{17})\}\)
3. \(\left\{\begin{matrix}6y=\frac{-55}{7}-4x\\-x+2y=\frac{-57}{28}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-8}{7})\}\)
4. \(\left\{\begin{matrix}-6x+y=\frac{-173}{2}\\2x-5y=\frac{25}{2}\end{matrix}\right.\qquad V=\{(15,\frac{7}{2})\}\)
5. \(\left\{\begin{matrix}-3x+4y=\frac{-97}{15}\\2x=-y+\frac{-4}{45}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{-6}{5})\}\)
6. \(\left\{\begin{matrix}-4x-5y=\frac{-99}{2}\\-4x+y=\frac{-477}{10}\end{matrix}\right.\qquad V=\{(12,\frac{3}{10})\}\)
7. \(\left\{\begin{matrix}-6x-2y=\frac{676}{119}\\x-y=\frac{-206}{119}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{10}{17})\}\)
8. \(\left\{\begin{matrix}-3y=\frac{81}{8}+3x\\x-y=\frac{-5}{8}\end{matrix}\right.\qquad V=\{(-2,\frac{-11}{8})\}\)
9. \(\left\{\begin{matrix}3y=\frac{91}{60}-5x\\x+5y=\frac{1}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-1}{20})\}\)
10. \(\left\{\begin{matrix}5y=\frac{-47}{6}+3x\\-x-y=\frac{1}{18}\end{matrix}\right.\qquad V=\{(\frac{17}{18},-1)\}\)
11. \(\left\{\begin{matrix}4x+y=\frac{191}{17}\\2x=3y+\frac{141}{17}\end{matrix}\right.\qquad V=\{(3,\frac{-13}{17})\}\)
12. \(\left\{\begin{matrix}3y=\frac{-59}{15}-4x\\-x-y=\frac{16}{15}\end{matrix}\right.\qquad V=\{(\frac{-11}{15},\frac{-1}{3})\}\)