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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+6y=\frac{62}{3}\\-x-5y=\frac{-49}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6y=\frac{-465}{4}-3x\\x+y=\frac{85}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-y=-5\\-5x=5y+-10\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+5y=\frac{989}{99}\\5x=-3y+\frac{97}{33}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{29}{7}-2x\\x+3y=\frac{-11}{14}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{107}{9}+5x\\-4x+y=\frac{79}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+6y=\frac{147}{26}\\-x+4y=\frac{-389}{52}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+3y=\frac{37}{12}\\-x-6y=\frac{-107}{30}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+2y=\frac{-17}{10}\\4x=-2y+\frac{-4}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-6y=\frac{-161}{2}\\2x=-2y+21\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-2y=\frac{-182}{17}\\x-5y=\frac{-275}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{128}{21}+6x\\-4x-y=\frac{227}{126}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+6y=\frac{62}{3}\\-x-5y=\frac{-49}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{3},3)\}\)
2. \(\left\{\begin{matrix}-6y=\frac{-465}{4}-3x\\x+y=\frac{85}{4}\end{matrix}\right.\qquad V=\{(\frac{5}{4},20)\}\)
3. \(\left\{\begin{matrix}2x-y=-5\\-5x=5y+-10\end{matrix}\right.\qquad V=\{(-1,3)\}\)
4. \(\left\{\begin{matrix}-x+5y=\frac{989}{99}\\5x=-3y+\frac{97}{33}\end{matrix}\right.\qquad V=\{(\frac{-6}{11},\frac{17}{9})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{29}{7}-2x\\x+3y=\frac{-11}{14}\end{matrix}\right.\qquad V=\{(\frac{13}{14},\frac{-4}{7})\}\)
6. \(\left\{\begin{matrix}4y=\frac{107}{9}+5x\\-4x+y=\frac{79}{9}\end{matrix}\right.\qquad V=\{(\frac{-19}{9},\frac{1}{3})\}\)
7. \(\left\{\begin{matrix}6x+6y=\frac{147}{26}\\-x+4y=\frac{-389}{52}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-17}{13})\}\)
8. \(\left\{\begin{matrix}2x+3y=\frac{37}{12}\\-x-6y=\frac{-107}{30}\end{matrix}\right.\qquad V=\{(\frac{13}{15},\frac{9}{20})\}\)
9. \(\left\{\begin{matrix}x+2y=\frac{-17}{10}\\4x=-2y+\frac{-4}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{10},-1)\}\)
10. \(\left\{\begin{matrix}x-6y=\frac{-161}{2}\\2x=-2y+21\end{matrix}\right.\qquad V=\{(\frac{-5}{2},13)\}\)
11. \(\left\{\begin{matrix}4x-2y=\frac{-182}{17}\\x-5y=\frac{-275}{17}\end{matrix}\right.\qquad V=\{(\frac{-20}{17},3)\}\)
12. \(\left\{\begin{matrix}-4y=\frac{128}{21}+6x\\-4x-y=\frac{227}{126}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{-19}{14})\}\)