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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{43}{11}-2x\\3x+3y=\frac{114}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{-31}{3}-3x\\x+5y=\frac{-25}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-5y=\frac{-93}{95}\\-x+6y=\frac{161}{95}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-3y=\frac{9}{2}\\5x=-y+\frac{25}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-6y=\frac{-32}{9}\\6x=2y+\frac{97}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-y=\frac{-133}{30}\\-6x=6y+\frac{-7}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{-41}{17}-2x\\x-6y=\frac{163}{34}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{57}{8}-x\\4x-6y=\frac{201}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+2y=\frac{-103}{57}\\-4x=-6y+\frac{-40}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-3y=\frac{-55}{26}\\x-y=\frac{-55}{78}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{-64}{15}+4x\\6x+6y=\frac{44}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+3y=\frac{1}{3}\\x-y=\frac{-2}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{43}{11}-2x\\3x+3y=\frac{114}{11}\end{matrix}\right.\qquad V=\{(\frac{5}{11},3)\}\)
2. \(\left\{\begin{matrix}4y=\frac{-31}{3}-3x\\x+5y=\frac{-25}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-4}{3})\}\)
3. \(\left\{\begin{matrix}3x-5y=\frac{-93}{95}\\-x+6y=\frac{161}{95}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{6}{19})\}\)
4. \(\left\{\begin{matrix}2x-3y=\frac{9}{2}\\5x=-y+\frac{25}{6}\end{matrix}\right.\qquad V=\{(1,\frac{-5}{6})\}\)
5. \(\left\{\begin{matrix}-x-6y=\frac{-32}{9}\\6x=2y+\frac{97}{9}\end{matrix}\right.\qquad V=\{(\frac{17}{9},\frac{5}{18})\}\)
6. \(\left\{\begin{matrix}6x-y=\frac{-133}{30}\\-6x=6y+\frac{-7}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{5}{6})\}\)
7. \(\left\{\begin{matrix}4y=\frac{-41}{17}-2x\\x-6y=\frac{163}{34}\end{matrix}\right.\qquad V=\{(\frac{5}{17},\frac{-3}{4})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{57}{8}-x\\4x-6y=\frac{201}{8}\end{matrix}\right.\qquad V=\{(6,\frac{-3}{16})\}\)
9. \(\left\{\begin{matrix}x+2y=\frac{-103}{57}\\-4x=-6y+\frac{-40}{19}\end{matrix}\right.\qquad V=\{(\frac{-9}{19},\frac{-2}{3})\}\)
10. \(\left\{\begin{matrix}3x-3y=\frac{-55}{26}\\x-y=\frac{-55}{78}\end{matrix}\right.\qquad V=\{(\frac{-7}{13},\frac{1}{6})\}\)
11. \(\left\{\begin{matrix}-y=\frac{-64}{15}+4x\\6x+6y=\frac{44}{5}\end{matrix}\right.\qquad V=\{(\frac{14}{15},\frac{8}{15})\}\)
12. \(\left\{\begin{matrix}-2x+3y=\frac{1}{3}\\x-y=\frac{-2}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},-1)\}\)