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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{-172}{17}-x\\-2x-5y=\frac{302}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{-533}{144}-3x\\-3x+y=\frac{437}{144}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x-2y=\frac{107}{21}\\x=-3y+\frac{5}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-y=-3\\-6x-2y=\frac{-27}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{-401}{30}+6x\\3x-3y=\frac{253}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+5y=40\\6x-y=\frac{266}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+6y=\frac{-150}{91}\\-2x=-y+\frac{-415}{91}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+6y=\frac{270}{7}\\x+2y=\frac{87}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{2}{3}-2x\\-x+5y=\frac{-25}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{-12}{5}+x\\4x+6y=\frac{108}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-3y=\frac{-282}{323}\\-3x-5y=\frac{-1534}{323}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-6y=\frac{643}{105}\\-3x=-2y+\frac{-3}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{-172}{17}-x\\-2x-5y=\frac{302}{17}\end{matrix}\right.\qquad V=\{(-8,\frac{-6}{17})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{-533}{144}-3x\\-3x+y=\frac{437}{144}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},\frac{2}{9})\}\)
3. \(\left\{\begin{matrix}-5x-2y=\frac{107}{21}\\x=-3y+\frac{5}{7}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{2}{3})\}\)
4. \(\left\{\begin{matrix}-6x-y=-3\\-6x-2y=\frac{-27}{10}\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{-3}{10})\}\)
5. \(\left\{\begin{matrix}y=\frac{-401}{30}+6x\\3x-3y=\frac{253}{30}\end{matrix}\right.\qquad V=\{(\frac{19}{9},\frac{-7}{10})\}\)
6. \(\left\{\begin{matrix}4x+5y=40\\6x-y=\frac{266}{5}\end{matrix}\right.\qquad V=\{(9,\frac{4}{5})\}\)
7. \(\left\{\begin{matrix}-3x+6y=\frac{-150}{91}\\-2x=-y+\frac{-415}{91}\end{matrix}\right.\qquad V=\{(\frac{20}{7},\frac{15}{13})\}\)
8. \(\left\{\begin{matrix}6x+6y=\frac{270}{7}\\x+2y=\frac{87}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{7},6)\}\)
9. \(\left\{\begin{matrix}-2y=\frac{2}{3}-2x\\-x+5y=\frac{-25}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},-2)\}\)
10. \(\left\{\begin{matrix}-y=\frac{-12}{5}+x\\4x+6y=\frac{108}{5}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},6)\}\)
11. \(\left\{\begin{matrix}x-3y=\frac{-282}{323}\\-3x-5y=\frac{-1534}{323}\end{matrix}\right.\qquad V=\{(\frac{12}{17},\frac{10}{19})\}\)
12. \(\left\{\begin{matrix}x-6y=\frac{643}{105}\\-3x=-2y+\frac{-3}{35}\end{matrix}\right.\qquad V=\{(\frac{-11}{15},\frac{-8}{7})\}\)