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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-6y=\frac{252}{17}\\-5x=y+\frac{-502}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+y=\frac{-57}{4}\\5x+5y=\frac{-15}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-2y=\frac{-202}{15}\\x=y+\frac{7}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+5y=\frac{1332}{77}\\x+y=\frac{244}{77}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-y=\frac{155}{17}\\-6x+3y=\frac{-159}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{72}{7}+2x\\x+y=\frac{-36}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-2y=\frac{16}{7}\\-2x=3y+\frac{-1}{14}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-2y=\frac{-11}{9}\\-5x=2y+\frac{-191}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+2y=\frac{1}{2}\\-x=5y+\frac{-83}{12}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-2y=\frac{8}{15}\\-x-6y=\frac{59}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{131}{126}-4x\\2x+y=\frac{601}{126}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+y=\frac{-287}{285}\\-6x=6y+\frac{394}{95}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-6y=\frac{252}{17}\\-5x=y+\frac{-502}{17}\end{matrix}\right.\qquad V=\{(6,\frac{-8}{17})\}\)
2. \(\left\{\begin{matrix}-5x+y=\frac{-57}{4}\\5x+5y=\frac{-15}{4}\end{matrix}\right.\qquad V=\{(\frac{9}{4},-3)\}\)
3. \(\left\{\begin{matrix}-6x-2y=\frac{-202}{15}\\x=y+\frac{7}{15}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{4}{3})\}\)
4. \(\left\{\begin{matrix}6x+5y=\frac{1332}{77}\\x+y=\frac{244}{77}\end{matrix}\right.\qquad V=\{(\frac{16}{11},\frac{12}{7})\}\)
5. \(\left\{\begin{matrix}5x-y=\frac{155}{17}\\-6x+3y=\frac{-159}{17}\end{matrix}\right.\qquad V=\{(2,\frac{15}{17})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{72}{7}+2x\\x+y=\frac{-36}{7}\end{matrix}\right.\qquad V=\{(-5,\frac{-1}{7})\}\)
7. \(\left\{\begin{matrix}x-2y=\frac{16}{7}\\-2x=3y+\frac{-1}{14}\end{matrix}\right.\qquad V=\{(1,\frac{-9}{14})\}\)
8. \(\left\{\begin{matrix}-x-2y=\frac{-11}{9}\\-5x=2y+\frac{-191}{9}\end{matrix}\right.\qquad V=\{(5,\frac{-17}{9})\}\)
9. \(\left\{\begin{matrix}2x+2y=\frac{1}{2}\\-x=5y+\frac{-83}{12}\end{matrix}\right.\qquad V=\{(\frac{-17}{12},\frac{5}{3})\}\)
10. \(\left\{\begin{matrix}2x-2y=\frac{8}{15}\\-x-6y=\frac{59}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-3}{5})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{131}{126}-4x\\2x+y=\frac{601}{126}\end{matrix}\right.\qquad V=\{(\frac{16}{9},\frac{17}{14})\}\)
12. \(\left\{\begin{matrix}3x+y=\frac{-287}{285}\\-6x=6y+\frac{394}{95}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},\frac{-8}{15})\}\)