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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+y=\frac{76}{21}\\-5x=5y+\frac{220}{21}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{26}{15}-4x\\-6x-y=\frac{-117}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x+y=\frac{-31}{21}\\5x=2y+\frac{205}{42}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=\frac{28}{5}-4x\\-5x-y=-21\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-2y=\frac{106}{39}\\-4x-5y=\frac{343}{39}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-y=\frac{-61}{20}\\2x=3y+\frac{-111}{20}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=-83-5x\\2x+y=\frac{74}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-6y=67\\3x=-3y+-30\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-5y=\frac{9}{14}\\6x-y=\frac{41}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{-9}{4}-x\\-5x-6y=\frac{51}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{35}{272}-5x\\-x+y=\frac{-231}{272}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+6y=\frac{259}{24}\\5x+y=\frac{17}{72}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+y=\frac{76}{21}\\-5x=5y+\frac{220}{21}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-2}{3})\}\)
2. \(\left\{\begin{matrix}6y=\frac{26}{15}-4x\\-6x-y=\frac{-117}{5}\end{matrix}\right.\qquad V=\{(\frac{13}{3},\frac{-13}{5})\}\)
3. \(\left\{\begin{matrix}-x+y=\frac{-31}{21}\\5x=2y+\frac{205}{42}\end{matrix}\right.\qquad V=\{(\frac{9}{14},\frac{-5}{6})\}\)
4. \(\left\{\begin{matrix}-2y=\frac{28}{5}-4x\\-5x-y=-21\end{matrix}\right.\qquad V=\{(\frac{17}{5},4)\}\)
5. \(\left\{\begin{matrix}-x-2y=\frac{106}{39}\\-4x-5y=\frac{343}{39}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-9}{13})\}\)
6. \(\left\{\begin{matrix}x-y=\frac{-61}{20}\\2x=3y+\frac{-111}{20}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},\frac{-11}{20})\}\)
7. \(\left\{\begin{matrix}-5y=-83-5x\\2x+y=\frac{74}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},16)\}\)
8. \(\left\{\begin{matrix}x-6y=67\\3x=-3y+-30\end{matrix}\right.\qquad V=\{(1,-11)\}\)
9. \(\left\{\begin{matrix}2x-5y=\frac{9}{14}\\6x-y=\frac{41}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{1}{14})\}\)
10. \(\left\{\begin{matrix}y=\frac{-9}{4}-x\\-5x-6y=\frac{51}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-3}{2})\}\)
11. \(\left\{\begin{matrix}5y=\frac{35}{272}-5x\\-x+y=\frac{-231}{272}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{-7}{17})\}\)
12. \(\left\{\begin{matrix}5x+6y=\frac{259}{24}\\5x+y=\frac{17}{72}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{19}{9})\}\)