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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{-257}{20}-2x\\x+2y=\frac{-111}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{-149}{56}-3x\\x+5y=\frac{-639}{56}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x-2y=\frac{-129}{28}\\x+4y=\frac{-18}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+4y=\frac{97}{5}\\-x-3y=\frac{-76}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-6y=\frac{956}{65}\\-4x+y=\frac{-176}{65}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-2y=\frac{-85}{4}\\3x=3y+\frac{-105}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{-13}{19}-x\\5x-6y=\frac{-80}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+2y=\frac{-309}{187}\\x=y+\frac{171}{187}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{95}{8}-x\\-3x-4y=\frac{-63}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{-958}{285}+2x\\3x+y=\frac{299}{95}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-y=\frac{11}{5}\\6x=5y+8\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-5y=\frac{-25}{2}\\-x-3y=\frac{-11}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{-257}{20}-2x\\x+2y=\frac{-111}{20}\end{matrix}\right.\qquad V=\{(\frac{-19}{5},\frac{-7}{8})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{-149}{56}-3x\\x+5y=\frac{-639}{56}\end{matrix}\right.\qquad V=\{(\frac{-17}{8},\frac{-13}{7})\}\)
3. \(\left\{\begin{matrix}5x-2y=\frac{-129}{28}\\x+4y=\frac{-18}{7}\end{matrix}\right.\qquad V=\{(\frac{-15}{14},\frac{-3}{8})\}\)
4. \(\left\{\begin{matrix}2x+4y=\frac{97}{5}\\-x-3y=\frac{-76}{5}\end{matrix}\right.\qquad V=\{(\frac{-13}{10},\frac{11}{2})\}\)
5. \(\left\{\begin{matrix}4x-6y=\frac{956}{65}\\-4x+y=\frac{-176}{65}\end{matrix}\right.\qquad V=\{(\frac{1}{13},\frac{-12}{5})\}\)
6. \(\left\{\begin{matrix}-x-2y=\frac{-85}{4}\\3x=3y+\frac{-105}{4}\end{matrix}\right.\qquad V=\{(\frac{5}{4},10)\}\)
7. \(\left\{\begin{matrix}-y=\frac{-13}{19}-x\\5x-6y=\frac{-80}{19}\end{matrix}\right.\qquad V=\{(\frac{2}{19},\frac{15}{19})\}\)
8. \(\left\{\begin{matrix}-3x+2y=\frac{-309}{187}\\x=y+\frac{171}{187}\end{matrix}\right.\qquad V=\{(\frac{-3}{17},\frac{-12}{11})\}\)
9. \(\left\{\begin{matrix}5y=\frac{95}{8}-x\\-3x-4y=\frac{-63}{2}\end{matrix}\right.\qquad V=\{(10,\frac{3}{8})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{-958}{285}+2x\\3x+y=\frac{299}{95}\end{matrix}\right.\qquad V=\{(\frac{11}{15},\frac{18}{19})\}\)
11. \(\left\{\begin{matrix}3x-y=\frac{11}{5}\\6x=5y+8\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-6}{5})\}\)
12. \(\left\{\begin{matrix}-5x-5y=\frac{-25}{2}\\-x-3y=\frac{-11}{2}\end{matrix}\right.\qquad V=\{(1,\frac{3}{2})\}\)