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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-5y=\frac{347}{78}\\-2x+y=\frac{-199}{78}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-5y=\frac{-47}{24}\\-2x-y=\frac{5}{24}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{-372}{65}+6x\\-x+5y=\frac{-54}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-5y=\frac{22}{13}\\x-3y=\frac{21}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+y=-7\\3x=2y+9\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{138}{7}+x\\-4x+6y=\frac{228}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+2y=\frac{385}{48}\\-x=y+\frac{-35}{48}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-173}{110}-5x\\x+3y=\frac{-331}{220}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{212}{91}-x\\-2x+5y=\frac{1116}{91}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+4y=\frac{-85}{16}\\-6x-y=\frac{-13}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-3y=\frac{75}{2}\\x=y+\frac{-7}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x-2y=\frac{-127}{35}\\5x=y+\frac{-3}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-5y=\frac{347}{78}\\-2x+y=\frac{-199}{78}\end{matrix}\right.\qquad V=\{(\frac{9}{13},\frac{-7}{6})\}\)
2. \(\left\{\begin{matrix}6x-5y=\frac{-47}{24}\\-2x-y=\frac{5}{24}\end{matrix}\right.\qquad V=\{(\frac{-3}{16},\frac{1}{6})\}\)
3. \(\left\{\begin{matrix}6y=\frac{-372}{65}+6x\\-x+5y=\frac{-54}{13}\end{matrix}\right.\qquad V=\{(\frac{2}{13},\frac{-4}{5})\}\)
4. \(\left\{\begin{matrix}2x-5y=\frac{22}{13}\\x-3y=\frac{21}{13}\end{matrix}\right.\qquad V=\{(-3,\frac{-20}{13})\}\)
5. \(\left\{\begin{matrix}-6x+y=-7\\3x=2y+9\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{-11}{3})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{138}{7}+x\\-4x+6y=\frac{228}{7}\end{matrix}\right.\qquad V=\{(-12,\frac{-18}{7})\}\)
7. \(\left\{\begin{matrix}-5x+2y=\frac{385}{48}\\-x=y+\frac{-35}{48}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},\frac{5}{3})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-173}{110}-5x\\x+3y=\frac{-331}{220}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},\frac{-7}{20})\}\)
9. \(\left\{\begin{matrix}3y=\frac{212}{91}-x\\-2x+5y=\frac{1116}{91}\end{matrix}\right.\qquad V=\{(\frac{-16}{7},\frac{20}{13})\}\)
10. \(\left\{\begin{matrix}-3x+4y=\frac{-85}{16}\\-6x-y=\frac{-13}{8}\end{matrix}\right.\qquad V=\{(\frac{7}{16},-1)\}\)
11. \(\left\{\begin{matrix}-5x-3y=\frac{75}{2}\\x=y+\frac{-7}{2}\end{matrix}\right.\qquad V=\{(-6,\frac{-5}{2})\}\)
12. \(\left\{\begin{matrix}-6x-2y=\frac{-127}{35}\\5x=y+\frac{-3}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{17}{14})\}\)