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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-4y=\frac{4}{51}\\5x=y+\frac{103}{51}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-4y=\frac{95}{4}\\x=2y+\frac{297}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-y=\frac{89}{57}\\2x+4y=\frac{-50}{57}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-42}{13}+3x\\x+y=\frac{24}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-6y=\frac{-16}{5}\\-5x=6y+-4\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{67}{42}-x\\-3x-6y=\frac{-67}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-5y=\frac{-1}{19}\\x-3y=\frac{41}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-2y=\frac{-133}{17}\\x=5y+\frac{-329}{102}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-4y=\frac{299}{126}\\-x=-y+\frac{67}{126}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{25}{6}+5x\\6x+y=\frac{5}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{-380}{187}-4x\\x+6y=\frac{-788}{187}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-3y=\frac{97}{30}\\-x=6y+\frac{37}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-4y=\frac{4}{51}\\5x=y+\frac{103}{51}\end{matrix}\right.\qquad V=\{(\frac{8}{17},\frac{1}{3})\}\)
2. \(\left\{\begin{matrix}-5x-4y=\frac{95}{4}\\x=2y+\frac{297}{20}\end{matrix}\right.\qquad V=\{(\frac{17}{20},-7)\}\)
3. \(\left\{\begin{matrix}x-y=\frac{89}{57}\\2x+4y=\frac{-50}{57}\end{matrix}\right.\qquad V=\{(\frac{17}{19},\frac{-2}{3})\}\)
4. \(\left\{\begin{matrix}3y=\frac{-42}{13}+3x\\x+y=\frac{24}{13}\end{matrix}\right.\qquad V=\{(\frac{19}{13},\frac{5}{13})\}\)
5. \(\left\{\begin{matrix}-x-6y=\frac{-16}{5}\\-5x=6y+-4\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{1}{2})\}\)
6. \(\left\{\begin{matrix}2y=\frac{67}{42}-x\\-3x-6y=\frac{-67}{14}\end{matrix}\right.\qquad V=\{(\frac{-1}{14},\frac{5}{6})\}\)
7. \(\left\{\begin{matrix}6x-5y=\frac{-1}{19}\\x-3y=\frac{41}{19}\end{matrix}\right.\qquad V=\{(\frac{-16}{19},-1)\}\)
8. \(\left\{\begin{matrix}6x-2y=\frac{-133}{17}\\x=5y+\frac{-329}{102}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{7}{17})\}\)
9. \(\left\{\begin{matrix}-3x-4y=\frac{299}{126}\\-x=-y+\frac{67}{126}\end{matrix}\right.\qquad V=\{(\frac{-9}{14},\frac{-1}{9})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{25}{6}+5x\\6x+y=\frac{5}{2}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-3}{2})\}\)
11. \(\left\{\begin{matrix}6y=\frac{-380}{187}-4x\\x+6y=\frac{-788}{187}\end{matrix}\right.\qquad V=\{(\frac{8}{11},\frac{-14}{17})\}\)
12. \(\left\{\begin{matrix}-3x-3y=\frac{97}{30}\\-x=6y+\frac{37}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-5}{18})\}\)