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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+6y=\frac{53}{3}\\-x+4y=\frac{98}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+3y=\frac{-565}{57}\\-2x=-y+\frac{-220}{57}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-6y=\frac{2}{3}\\4x-3y=\frac{43}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+5y=\frac{19}{8}\\x=-4y+\frac{437}{80}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-2y=\frac{500}{77}\\-6x-y=\frac{-124}{77}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-5y=\frac{103}{14}\\5x=-6y+\frac{-556}{35}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=\frac{19}{10}+6x\\-2x-y=\frac{3}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{-21}{5}+3x\\2x+y=\frac{-21}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-y=\frac{111}{52}\\-3x=-5y+\frac{303}{52}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-5y=\frac{-59}{9}\\-x=-5y+\frac{107}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-5y=\frac{787}{60}\\5x=-y+\frac{1}{12}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=29-3x\\3x-y=4\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+6y=\frac{53}{3}\\-x+4y=\frac{98}{9}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{5}{2})\}\)
2. \(\left\{\begin{matrix}-5x+3y=\frac{-565}{57}\\-2x=-y+\frac{-220}{57}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-10}{19})\}\)
3. \(\left\{\begin{matrix}x-6y=\frac{2}{3}\\4x-3y=\frac{43}{3}\end{matrix}\right.\qquad V=\{(4,\frac{5}{9})\}\)
4. \(\left\{\begin{matrix}6x+5y=\frac{19}{8}\\x=-4y+\frac{437}{80}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},\frac{8}{5})\}\)
5. \(\left\{\begin{matrix}5x-2y=\frac{500}{77}\\-6x-y=\frac{-124}{77}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{-20}{11})\}\)
6. \(\left\{\begin{matrix}-x-5y=\frac{103}{14}\\5x=-6y+\frac{-556}{35}\end{matrix}\right.\qquad V=\{(\frac{-13}{7},\frac{-11}{10})\}\)
7. \(\left\{\begin{matrix}-5y=\frac{19}{10}+6x\\-2x-y=\frac{3}{10}\end{matrix}\right.\qquad V=\{(\frac{1}{10},\frac{-1}{2})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{-21}{5}+3x\\2x+y=\frac{-21}{5}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},3)\}\)
9. \(\left\{\begin{matrix}-3x-y=\frac{111}{52}\\-3x=-5y+\frac{303}{52}\end{matrix}\right.\qquad V=\{(\frac{-11}{12},\frac{8}{13})\}\)
10. \(\left\{\begin{matrix}-5x-5y=\frac{-59}{9}\\-x=-5y+\frac{107}{9}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{11}{5})\}\)
11. \(\left\{\begin{matrix}4x-5y=\frac{787}{60}\\5x=-y+\frac{1}{12}\end{matrix}\right.\qquad V=\{(\frac{7}{15},\frac{-9}{4})\}\)
12. \(\left\{\begin{matrix}-6y=29-3x\\3x-y=4\end{matrix}\right.\qquad V=\{(\frac{-1}{3},-5)\}\)