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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{305}{18}+6x\\3x+y=\frac{-445}{36}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+5y=\frac{-733}{182}\\5x+y=\frac{111}{182}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{11}{4}+3x\\-5x+4y=\frac{37}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{-42}{5}-x\\-6x-2y=\frac{283}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x-y=\frac{-319}{26}\\-6x=6y+\frac{-813}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-5y=\frac{973}{30}\\-4x-5y=\frac{983}{30}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+5y=-3\\-2x=-4y+-29\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+3y=\frac{-125}{2}\\x=y+\frac{125}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{25}{42}+5x\\x+5y=\frac{151}{84}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-6y=40\\-3x-y=\frac{-148}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{-1661}{340}+x\\3x-4y=\frac{-297}{340}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-y=\frac{-103}{70}\\2x=5y+\frac{95}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{305}{18}+6x\\3x+y=\frac{-445}{36}\end{matrix}\right.\qquad V=\{(\frac{-15}{4},\frac{-10}{9})\}\)
2. \(\left\{\begin{matrix}2x+5y=\frac{-733}{182}\\5x+y=\frac{111}{182}\end{matrix}\right.\qquad V=\{(\frac{4}{13},\frac{-13}{14})\}\)
3. \(\left\{\begin{matrix}y=\frac{11}{4}+3x\\-5x+4y=\frac{37}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},2)\}\)
4. \(\left\{\begin{matrix}-4y=\frac{-42}{5}-x\\-6x-2y=\frac{283}{10}\end{matrix}\right.\qquad V=\{(-5,\frac{17}{20})\}\)
5. \(\left\{\begin{matrix}-3x-y=\frac{-319}{26}\\-6x=6y+\frac{-813}{13}\end{matrix}\right.\qquad V=\{(\frac{12}{13},\frac{19}{2})\}\)
6. \(\left\{\begin{matrix}x-5y=\frac{973}{30}\\-4x-5y=\frac{983}{30}\end{matrix}\right.\qquad V=\{(\frac{-1}{15},\frac{-13}{2})\}\)
7. \(\left\{\begin{matrix}x+5y=-3\\-2x=-4y+-29\end{matrix}\right.\qquad V=\{(\frac{19}{2},\frac{-5}{2})\}\)
8. \(\left\{\begin{matrix}-3x+3y=\frac{-125}{2}\\x=y+\frac{125}{6}\end{matrix}\right.\qquad V=\{(20,\frac{-5}{6})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{25}{42}+5x\\x+5y=\frac{151}{84}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{5}{12})\}\)
10. \(\left\{\begin{matrix}3x-6y=40\\-3x-y=\frac{-148}{3}\end{matrix}\right.\qquad V=\{(16,\frac{4}{3})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{-1661}{340}+x\\3x-4y=\frac{-297}{340}\end{matrix}\right.\qquad V=\{(\frac{13}{20},\frac{12}{17})\}\)
12. \(\left\{\begin{matrix}-4x-y=\frac{-103}{70}\\2x=5y+\frac{95}{14}\end{matrix}\right.\qquad V=\{(\frac{9}{14},\frac{-11}{10})\}\)