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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{92}{5}-4x\\-x+5y=\frac{181}{15}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+3y=\frac{27}{10}\\-5x-y=\frac{51}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-5y=\frac{-1697}{323}\\-4x=3y+\frac{233}{323}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+6y=\frac{3}{2}\\-x=4y+\frac{-13}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-y=\frac{-491}{144}\\6x=-5y+\frac{-803}{48}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+y=\frac{380}{153}\\2x=6y+\frac{100}{153}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-2y=\frac{622}{99}\\-6x=-y+\frac{-232}{33}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{-594}{19}-5x\\6x-y=\frac{-688}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+y=\frac{242}{51}\\2x=-6y+\frac{-44}{51}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+6y=\frac{-1481}{234}\\-5x=-6y+\frac{-2963}{234}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+4y=\frac{145}{7}\\4x=-y+\frac{-74}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+y=\frac{278}{105}\\3x=6y+\frac{-286}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{92}{5}-4x\\-x+5y=\frac{181}{15}\end{matrix}\right.\qquad V=\{(\frac{19}{15},\frac{8}{3})\}\)
2. \(\left\{\begin{matrix}-5x+3y=\frac{27}{10}\\-5x-y=\frac{51}{10}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{-3}{5})\}\)
3. \(\left\{\begin{matrix}x-5y=\frac{-1697}{323}\\-4x=3y+\frac{233}{323}\end{matrix}\right.\qquad V=\{(\frac{-16}{19},\frac{15}{17})\}\)
4. \(\left\{\begin{matrix}6x+6y=\frac{3}{2}\\-x=4y+\frac{-13}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},1)\}\)
5. \(\left\{\begin{matrix}2x-y=\frac{-491}{144}\\6x=-5y+\frac{-803}{48}\end{matrix}\right.\qquad V=\{(\frac{-19}{9},\frac{-13}{16})\}\)
6. \(\left\{\begin{matrix}-5x+y=\frac{380}{153}\\2x=6y+\frac{100}{153}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{-5}{17})\}\)
7. \(\left\{\begin{matrix}5x-2y=\frac{622}{99}\\-6x=-y+\frac{-232}{33}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{-4}{11})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{-594}{19}-5x\\6x-y=\frac{-688}{19}\end{matrix}\right.\qquad V=\{(-6,\frac{4}{19})\}\)
9. \(\left\{\begin{matrix}4x+y=\frac{242}{51}\\2x=-6y+\frac{-44}{51}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-10}{17})\}\)
10. \(\left\{\begin{matrix}x+6y=\frac{-1481}{234}\\-5x=-6y+\frac{-2963}{234}\end{matrix}\right.\qquad V=\{(\frac{19}{18},\frac{-16}{13})\}\)
11. \(\left\{\begin{matrix}-5x+4y=\frac{145}{7}\\4x=-y+\frac{-74}{7}\end{matrix}\right.\qquad V=\{(-3,\frac{10}{7})\}\)
12. \(\left\{\begin{matrix}-2x+y=\frac{278}{105}\\3x=6y+\frac{-286}{35}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{14}{15})\}\)