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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-3y=\frac{65}{11}\\4x+y=\frac{-51}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-4y=\frac{-394}{15}\\x=-6y+\frac{167}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+y=\frac{35}{18}\\5x=-6y+\frac{77}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{160}{33}+4x\\2x-y=\frac{-80}{33}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{-62}{21}+3x\\5x+y=\frac{164}{21}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-3y=\frac{31}{4}\\-2x+6y=\frac{-35}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+2y=\frac{-21}{4}\\3x=y+\frac{-27}{8}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{-65}{66}-x\\6x+2y=\frac{-29}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-y=\frac{7}{3}\\-6x=-2y+\frac{-8}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-3y=\frac{99}{85}\\-x=5y+\frac{61}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-5y=\frac{506}{5}\\x=5y+\frac{501}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-6y=\frac{-548}{5}\\6x-y=\frac{-74}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-3y=\frac{65}{11}\\4x+y=\frac{-51}{11}\end{matrix}\right.\qquad V=\{(-1,\frac{-7}{11})\}\)
2. \(\left\{\begin{matrix}6x-4y=\frac{-394}{15}\\x=-6y+\frac{167}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{17}{3})\}\)
3. \(\left\{\begin{matrix}2x+y=\frac{35}{18}\\5x=-6y+\frac{77}{18}\end{matrix}\right.\qquad V=\{(\frac{19}{18},\frac{-1}{6})\}\)
4. \(\left\{\begin{matrix}2y=\frac{160}{33}+4x\\2x-y=\frac{-80}{33}\end{matrix}\right.\qquad V=\{(\frac{-6}{11},\frac{4}{3})\}\)
5. \(\left\{\begin{matrix}2y=\frac{-62}{21}+3x\\5x+y=\frac{164}{21}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{2}{3})\}\)
6. \(\left\{\begin{matrix}-x-3y=\frac{31}{4}\\-2x+6y=\frac{-35}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-11}{4})\}\)
7. \(\left\{\begin{matrix}6x+2y=\frac{-21}{4}\\3x=y+\frac{-27}{8}\end{matrix}\right.\qquad V=\{(-1,\frac{3}{8})\}\)
8. \(\left\{\begin{matrix}y=\frac{-65}{66}-x\\6x+2y=\frac{-29}{11}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{-9}{11})\}\)
9. \(\left\{\begin{matrix}4x-y=\frac{7}{3}\\-6x=-2y+\frac{-8}{3}\end{matrix}\right.\qquad V=\{(1,\frac{5}{3})\}\)
10. \(\left\{\begin{matrix}-3x-3y=\frac{99}{85}\\-x=5y+\frac{61}{17}\end{matrix}\right.\qquad V=\{(\frac{7}{17},\frac{-4}{5})\}\)
11. \(\left\{\begin{matrix}6x-5y=\frac{506}{5}\\x=5y+\frac{501}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{5},-20)\}\)
12. \(\left\{\begin{matrix}-3x-6y=\frac{-548}{5}\\6x-y=\frac{-74}{5}\end{matrix}\right.\qquad V=\{(\frac{8}{15},18)\}\)