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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-6y=\frac{807}{80}\\-5x=y+\frac{-23}{80}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{184}{7}-2x\\x-4y=\frac{-104}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+2y=\frac{22}{19}\\-x=-4y+\frac{-11}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+6y=\frac{21}{5}\\-4x=2y+\frac{-29}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+6y=\frac{-126}{5}\\4x+6y=\frac{-171}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{-15}{4}+x\\5x+6y=\frac{77}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-4y=8\\4x=-6y+-22\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-2y=\frac{-28}{5}\\2x=y+\frac{49}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-2y=\frac{101}{7}\\-4x=y+\frac{129}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+5y=\frac{168}{17}\\-x=3y+\frac{-41}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+3y=\frac{-73}{35}\\-3x=3y+\frac{163}{35}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+5y=\frac{27}{20}\\6x-y=\frac{-431}{20}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-6y=\frac{807}{80}\\-5x=y+\frac{-23}{80}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{-19}{10})\}\)
2. \(\left\{\begin{matrix}6y=\frac{184}{7}-2x\\x-4y=\frac{-104}{7}\end{matrix}\right.\qquad V=\{(\frac{8}{7},4)\}\)
3. \(\left\{\begin{matrix}-6x+2y=\frac{22}{19}\\-x=-4y+\frac{-11}{19}\end{matrix}\right.\qquad V=\{(\frac{-5}{19},\frac{-4}{19})\}\)
4. \(\left\{\begin{matrix}x+6y=\frac{21}{5}\\-4x=2y+\frac{-29}{5}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{1}{2})\}\)
5. \(\left\{\begin{matrix}-x+6y=\frac{-126}{5}\\4x+6y=\frac{-171}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{-9}{2})\}\)
6. \(\left\{\begin{matrix}-y=\frac{-15}{4}+x\\5x+6y=\frac{77}{4}\end{matrix}\right.\qquad V=\{(\frac{13}{4},\frac{1}{2})\}\)
7. \(\left\{\begin{matrix}-x-4y=8\\4x=-6y+-22\end{matrix}\right.\qquad V=\{(-4,-1)\}\)
8. \(\left\{\begin{matrix}-3x-2y=\frac{-28}{5}\\2x=y+\frac{49}{20}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{11}{20})\}\)
9. \(\left\{\begin{matrix}-6x-2y=\frac{101}{7}\\-4x=y+\frac{129}{14}\end{matrix}\right.\qquad V=\{(-2,\frac{-17}{14})\}\)
10. \(\left\{\begin{matrix}-6x+5y=\frac{168}{17}\\-x=3y+\frac{-41}{17}\end{matrix}\right.\qquad V=\{(\frac{-13}{17},\frac{18}{17})\}\)
11. \(\left\{\begin{matrix}x+3y=\frac{-73}{35}\\-3x=3y+\frac{163}{35}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{-4}{15})\}\)
12. \(\left\{\begin{matrix}-2x+5y=\frac{27}{20}\\6x-y=\frac{-431}{20}\end{matrix}\right.\qquad V=\{(\frac{-19}{5},\frac{-5}{4})\}\)