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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{3}{2}+6x\\6x-6y=\frac{67}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+6y=\frac{-28}{3}\\-5x=-2y+\frac{76}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{100}{13}+2x\\3x+y=\frac{-90}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+5y=\frac{-46}{9}\\-x-y=\frac{-7}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-3y=\frac{355}{51}\\x=-4y+\frac{-835}{153}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+5y=\frac{-301}{15}\\-2x=-y+\frac{7}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=-21-3x\\-x-5y=\frac{-79}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{11}{4}+6x\\-6x+y=\frac{-43}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{-13}{2}+3x\\-5x+y=\frac{-49}{12}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{-16}{3}-x\\-5x-5y=\frac{80}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-3y=99\\-3x+y=-49\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+3y=\frac{93}{10}\\2x=-y+\frac{31}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{3}{2}+6x\\6x-6y=\frac{67}{2}\end{matrix}\right.\qquad V=\{(\frac{-17}{12},-7)\}\)
2. \(\left\{\begin{matrix}x+6y=\frac{-28}{3}\\-5x=-2y+\frac{76}{3}\end{matrix}\right.\qquad V=\{(\frac{-16}{3},\frac{-2}{3})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{100}{13}+2x\\3x+y=\frac{-90}{13}\end{matrix}\right.\qquad V=\{(-2,\frac{-12}{13})\}\)
4. \(\left\{\begin{matrix}-4x+5y=\frac{-46}{9}\\-x-y=\frac{-7}{9}\end{matrix}\right.\qquad V=\{(1,\frac{-2}{9})\}\)
5. \(\left\{\begin{matrix}3x-3y=\frac{355}{51}\\x=-4y+\frac{-835}{153}\end{matrix}\right.\qquad V=\{(\frac{13}{17},\frac{-14}{9})\}\)
6. \(\left\{\begin{matrix}6x+5y=\frac{-301}{15}\\-2x=-y+\frac{7}{15}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},\frac{-7}{3})\}\)
7. \(\left\{\begin{matrix}-5y=-21-3x\\-x-5y=\frac{-79}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{3},5)\}\)
8. \(\left\{\begin{matrix}-3y=\frac{11}{4}+6x\\-6x+y=\frac{-43}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-19}{12})\}\)
9. \(\left\{\begin{matrix}6y=\frac{-13}{2}+3x\\-5x+y=\frac{-49}{12}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-3}{4})\}\)
10. \(\left\{\begin{matrix}y=\frac{-16}{3}-x\\-5x-5y=\frac{80}{3}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{-5}{6})\}\)
11. \(\left\{\begin{matrix}6x-3y=99\\-3x+y=-49\end{matrix}\right.\qquad V=\{(16,-1)\}\)
12. \(\left\{\begin{matrix}6x+3y=\frac{93}{10}\\2x=-y+\frac{31}{10}\end{matrix}\right.\qquad V=\{(\frac{1}{20},3)\}\)