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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-6y=\frac{93}{110}\\4x=y+\frac{38}{55}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-2y=\frac{26}{5}\\-x-3y=\frac{3}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x+6y=\frac{26}{5}\\-5x=-4y+0\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+4y=\frac{-72}{13}\\6x+y=\frac{-75}{26}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{-107}{5}-x\\-5x+2y=\frac{403}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-3y=\frac{1}{144}\\x=-2y+\frac{-235}{72}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-3y=\frac{-7}{26}\\-6x-y=\frac{-109}{26}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+4y=\frac{-83}{22}\\-2x+4y=\frac{-91}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-6y=\frac{111}{5}\\-2x+3y=\frac{-78}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-2y=\frac{-24}{7}\\x+4y=\frac{53}{21}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{-207}{10}+6x\\6x-y=\frac{107}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{-121}{5}-5x\\2x-y=\frac{-79}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-6y=\frac{93}{110}\\4x=y+\frac{38}{55}\end{matrix}\right.\qquad V=\{(\frac{3}{20},\frac{-1}{11})\}\)
2. \(\left\{\begin{matrix}-4x-2y=\frac{26}{5}\\-x-3y=\frac{3}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{2}{5})\}\)
3. \(\left\{\begin{matrix}-x+6y=\frac{26}{5}\\-5x=-4y+0\end{matrix}\right.\qquad V=\{(\frac{4}{5},1)\}\)
4. \(\left\{\begin{matrix}-2x+4y=\frac{-72}{13}\\6x+y=\frac{-75}{26}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},\frac{-3}{2})\}\)
5. \(\left\{\begin{matrix}2y=\frac{-107}{5}-x\\-5x+2y=\frac{403}{5}\end{matrix}\right.\qquad V=\{(-17,\frac{-11}{5})\}\)
6. \(\left\{\begin{matrix}4x-3y=\frac{1}{144}\\x=-2y+\frac{-235}{72}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{-19}{16})\}\)
7. \(\left\{\begin{matrix}2x-3y=\frac{-7}{26}\\-6x-y=\frac{-109}{26}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{1}{2})\}\)
8. \(\left\{\begin{matrix}-x+4y=\frac{-83}{22}\\-2x+4y=\frac{-91}{11}\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{2}{11})\}\)
9. \(\left\{\begin{matrix}x-6y=\frac{111}{5}\\-2x+3y=\frac{-78}{5}\end{matrix}\right.\qquad V=\{(3,\frac{-16}{5})\}\)
10. \(\left\{\begin{matrix}6x-2y=\frac{-24}{7}\\x+4y=\frac{53}{21}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{5}{7})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{-207}{10}+6x\\6x-y=\frac{107}{10}\end{matrix}\right.\qquad V=\{(\frac{11}{5},\frac{5}{2})\}\)
12. \(\left\{\begin{matrix}6y=\frac{-121}{5}-5x\\2x-y=\frac{-79}{5}\end{matrix}\right.\qquad V=\{(-7,\frac{9}{5})\}\)