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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{1036}{51}-4x\\-x+y=\frac{-196}{51}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{47}{39}-4x\\4x-3y=\frac{7}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-2y=\frac{-46}{5}\\-3x+y=\frac{-52}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+6y=-4\\-x=-y+\frac{-7}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-2y=\frac{46}{9}\\-4x+y=\frac{-2}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=46+x\\-2x+4y=35\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+5y=\frac{-923}{60}\\-x=-6y+\frac{-19}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=\frac{-294}{65}+6x\\x+5y=\frac{54}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{-115}{4}-2x\\-x-3y=\frac{281}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{61}{38}-x\\4x-6y=\frac{-86}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+6y=\frac{-87}{5}\\-x-y=\frac{31}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{-40}{3}-x\\2x+4y=\frac{-16}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{1036}{51}-4x\\-x+y=\frac{-196}{51}\end{matrix}\right.\qquad V=\{(\frac{14}{3},\frac{14}{17})\}\)
2. \(\left\{\begin{matrix}-y=\frac{47}{39}-4x\\4x-3y=\frac{7}{13}\end{matrix}\right.\qquad V=\{(\frac{5}{13},\frac{1}{3})\}\)
3. \(\left\{\begin{matrix}-4x-2y=\frac{-46}{5}\\-3x+y=\frac{-52}{5}\end{matrix}\right.\qquad V=\{(3,\frac{-7}{5})\}\)
4. \(\left\{\begin{matrix}-3x+6y=-4\\-x=-y+\frac{-7}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{-3}{4})\}\)
5. \(\left\{\begin{matrix}-6x-2y=\frac{46}{9}\\-4x+y=\frac{-2}{9}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-14}{9})\}\)
6. \(\left\{\begin{matrix}5y=46+x\\-2x+4y=35\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{19}{2})\}\)
7. \(\left\{\begin{matrix}3x+5y=\frac{-923}{60}\\-x=-6y+\frac{-19}{10}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},\frac{-11}{12})\}\)
8. \(\left\{\begin{matrix}4y=\frac{-294}{65}+6x\\x+5y=\frac{54}{13}\end{matrix}\right.\qquad V=\{(\frac{15}{13},\frac{3}{5})\}\)
9. \(\left\{\begin{matrix}5y=\frac{-115}{4}-2x\\-x-3y=\frac{281}{20}\end{matrix}\right.\qquad V=\{(-16,\frac{13}{20})\}\)
10. \(\left\{\begin{matrix}5y=\frac{61}{38}-x\\4x-6y=\frac{-86}{19}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{8}{19})\}\)
11. \(\left\{\begin{matrix}2x+6y=\frac{-87}{5}\\-x-y=\frac{31}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{-14}{5})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{-40}{3}-x\\2x+4y=\frac{-16}{3}\end{matrix}\right.\qquad V=\{(-8,\frac{8}{3})\}\)