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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{109}{39}-6x\\-x-5y=\frac{731}{234}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-5y=\frac{56}{3}\\x=y+0\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{32}{95}-3x\\5x+6y=\frac{-1112}{95}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-5y=\frac{5}{3}\\3x-6y=9\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+y=\frac{-29}{12}\\2x-5y=\frac{-59}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+3y=\frac{54}{5}\\-x=y+\frac{12}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+5y=\frac{85}{26}\\-2x=y+\frac{-2}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-2y=\frac{51}{52}\\5x=-y+\frac{677}{104}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{104}{5}-2x\\-6x-y=\frac{254}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{-273}{40}+3x\\x-y=\frac{197}{80}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+6y=-41\\-x+4y=\frac{-139}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+2y=\frac{164}{35}\\x-y=\frac{-12}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{109}{39}-6x\\-x-5y=\frac{731}{234}\end{matrix}\right.\qquad V=\{(\frac{13}{18},\frac{-10}{13})\}\)
2. \(\left\{\begin{matrix}-2x-5y=\frac{56}{3}\\x=y+0\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{-8}{3})\}\)
3. \(\left\{\begin{matrix}-y=\frac{32}{95}-3x\\5x+6y=\frac{-1112}{95}\end{matrix}\right.\qquad V=\{(\frac{-8}{19},\frac{-8}{5})\}\)
4. \(\left\{\begin{matrix}-x-5y=\frac{5}{3}\\3x-6y=9\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-2}{3})\}\)
5. \(\left\{\begin{matrix}-2x+y=\frac{-29}{12}\\2x-5y=\frac{-59}{12}\end{matrix}\right.\qquad V=\{(\frac{17}{8},\frac{11}{6})\}\)
6. \(\left\{\begin{matrix}-3x+3y=\frac{54}{5}\\-x=y+\frac{12}{5}\end{matrix}\right.\qquad V=\{(-3,\frac{3}{5})\}\)
7. \(\left\{\begin{matrix}5x+5y=\frac{85}{26}\\-2x=y+\frac{-2}{13}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{15}{13})\}\)
8. \(\left\{\begin{matrix}3x-2y=\frac{51}{52}\\5x=-y+\frac{677}{104}\end{matrix}\right.\qquad V=\{(\frac{14}{13},\frac{9}{8})\}\)
9. \(\left\{\begin{matrix}6y=\frac{104}{5}-2x\\-6x-y=\frac{254}{15}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},\frac{14}{3})\}\)
10. \(\left\{\begin{matrix}-6y=\frac{-273}{40}+3x\\x-y=\frac{197}{80}\end{matrix}\right.\qquad V=\{(\frac{12}{5},\frac{-1}{16})\}\)
11. \(\left\{\begin{matrix}-5x+6y=-41\\-x+4y=\frac{-139}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},-7)\}\)
12. \(\left\{\begin{matrix}3x+2y=\frac{164}{35}\\x-y=\frac{-12}{35}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{8}{7})\}\)