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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-5y=\frac{9}{35}\\-x+2y=\frac{58}{35}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{27}{85}+4x\\-3x+y=\frac{219}{170}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-3y=\frac{-669}{55}\\-x-5y=\frac{-26}{55}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{-79}{20}-3x\\6x+y=\frac{-241}{40}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-4y=\frac{-123}{2}\\-3x=y+\frac{-161}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-3y=\frac{-19}{3}\\2x=y+\frac{-1}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{-463}{238}-5x\\-2x-6y=\frac{997}{119}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+2y=\frac{-93}{10}\\-6x-y=\frac{-247}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{-286}{15}-5x\\3x+y=\frac{-56}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{61}{22}-4x\\x-5y=\frac{29}{22}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+4y=\frac{-239}{30}\\x=2y+\frac{43}{30}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+4y=\frac{650}{11}\\x-y=\frac{85}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-5y=\frac{9}{35}\\-x+2y=\frac{58}{35}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{3}{7})\}\)
2. \(\left\{\begin{matrix}6y=\frac{27}{85}+4x\\-3x+y=\frac{219}{170}\end{matrix}\right.\qquad V=\{(\frac{-9}{17},\frac{-3}{10})\}\)
3. \(\left\{\begin{matrix}6x-3y=\frac{-669}{55}\\-x-5y=\frac{-26}{55}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{5}{11})\}\)
4. \(\left\{\begin{matrix}2y=\frac{-79}{20}-3x\\6x+y=\frac{-241}{40}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{-5}{8})\}\)
5. \(\left\{\begin{matrix}-4x-4y=\frac{-123}{2}\\-3x=y+\frac{-161}{8}\end{matrix}\right.\qquad V=\{(\frac{19}{8},13)\}\)
6. \(\left\{\begin{matrix}2x-3y=\frac{-19}{3}\\2x=y+\frac{-1}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{3},3)\}\)
7. \(\left\{\begin{matrix}y=\frac{-463}{238}-5x\\-2x-6y=\frac{997}{119}\end{matrix}\right.\qquad V=\{(\frac{-2}{17},\frac{-19}{14})\}\)
8. \(\left\{\begin{matrix}-4x+2y=\frac{-93}{10}\\-6x-y=\frac{-247}{20}\end{matrix}\right.\qquad V=\{(\frac{17}{8},\frac{-2}{5})\}\)
9. \(\left\{\begin{matrix}2y=\frac{-286}{15}-5x\\3x+y=\frac{-56}{5}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-6}{5})\}\)
10. \(\left\{\begin{matrix}5y=\frac{61}{22}-4x\\x-5y=\frac{29}{22}\end{matrix}\right.\qquad V=\{(\frac{9}{11},\frac{-1}{10})\}\)
11. \(\left\{\begin{matrix}-5x+4y=\frac{-239}{30}\\x=2y+\frac{43}{30}\end{matrix}\right.\qquad V=\{(\frac{17}{10},\frac{2}{15})\}\)
12. \(\left\{\begin{matrix}6x+4y=\frac{650}{11}\\x-y=\frac{85}{11}\end{matrix}\right.\qquad V=\{(9,\frac{14}{11})\}\)