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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+6y=8\\-2x-5y=\frac{-19}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-5y=\frac{77}{26}\\5x+3y=\frac{-1067}{130}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{1}{9}+5x\\5x+y=\frac{-31}{36}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+3y=\frac{23}{15}\\4x=-3y+\frac{88}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{170}{63}+2x\\x+4y=\frac{725}{63}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+3y=\frac{53}{12}\\-x+4y=\frac{14}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+2y=\frac{-3}{2}\\2x=y+3\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{-230}{17}-5x\\3x-y=\frac{-36}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{-24}{5}+2x\\-3x+y=\frac{-1}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-2y=\frac{-582}{55}\\x+y=\frac{-17}{55}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+3y=\frac{-95}{6}\\-x=-6y+\frac{-437}{12}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{81}{7}+5x\\x+y=\frac{-19}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+6y=8\\-2x-5y=\frac{-19}{2}\end{matrix}\right.\qquad V=\{(1,\frac{3}{2})\}\)
2. \(\left\{\begin{matrix}-x-5y=\frac{77}{26}\\5x+3y=\frac{-1067}{130}\end{matrix}\right.\qquad V=\{(\frac{-19}{13},\frac{-3}{10})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{1}{9}+5x\\5x+y=\frac{-31}{36}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{1}{4})\}\)
4. \(\left\{\begin{matrix}-x+3y=\frac{23}{15}\\4x=-3y+\frac{88}{15}\end{matrix}\right.\qquad V=\{(\frac{13}{15},\frac{4}{5})\}\)
5. \(\left\{\begin{matrix}2y=\frac{170}{63}+2x\\x+4y=\frac{725}{63}\end{matrix}\right.\qquad V=\{(\frac{11}{9},\frac{18}{7})\}\)
6. \(\left\{\begin{matrix}2x+3y=\frac{53}{12}\\-x+4y=\frac{14}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{5}{4})\}\)
7. \(\left\{\begin{matrix}2x+2y=\frac{-3}{2}\\2x=y+3\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-3}{2})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{-230}{17}-5x\\3x-y=\frac{-36}{17}\end{matrix}\right.\qquad V=\{(\frac{5}{17},3)\}\)
9. \(\left\{\begin{matrix}-6y=\frac{-24}{5}+2x\\-3x+y=\frac{-1}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{7}{10})\}\)
10. \(\left\{\begin{matrix}6x-2y=\frac{-582}{55}\\x+y=\frac{-17}{55}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},\frac{12}{11})\}\)
11. \(\left\{\begin{matrix}-2x+3y=\frac{-95}{6}\\-x=-6y+\frac{-437}{12}\end{matrix}\right.\qquad V=\{(\frac{-19}{12},\frac{-19}{3})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{81}{7}+5x\\x+y=\frac{-19}{7}\end{matrix}\right.\qquad V=\{(\frac{-12}{7},-1)\}\)