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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+6y=\frac{-18}{5}\\2x-3y=\frac{-6}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+5y=\frac{97}{14}\\-6x=y+\frac{-221}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-3y=\frac{-1347}{20}\\x=-y+\frac{-211}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{-199}{85}-6x\\2x+5y=\frac{-43}{85}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-2y=\frac{67}{24}\\3x-4y=6\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{-17}{7}+3x\\x-5y=\frac{2}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+y=\frac{-49}{10}\\-2x-5y=\frac{-43}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{1069}{90}+5x\\6x-y=\frac{-157}{30}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-2y=\frac{344}{51}\\-x-4y=\frac{448}{255}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{-248}{133}-x\\3x+4y=\frac{166}{133}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-5y=\frac{211}{84}\\3x-y=\frac{71}{84}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{41}{10}+2x\\-4x+y=\frac{71}{30}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+6y=\frac{-18}{5}\\2x-3y=\frac{-6}{5}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-2}{5})\}\)
2. \(\left\{\begin{matrix}-2x+5y=\frac{97}{14}\\-6x=y+\frac{-221}{14}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{16}{7})\}\)
3. \(\left\{\begin{matrix}6x-3y=\frac{-1347}{20}\\x=-y+\frac{-211}{20}\end{matrix}\right.\qquad V=\{(-11,\frac{9}{20})\}\)
4. \(\left\{\begin{matrix}y=\frac{-199}{85}-6x\\2x+5y=\frac{-43}{85}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{1}{17})\}\)
5. \(\left\{\begin{matrix}x-2y=\frac{67}{24}\\3x-4y=6\end{matrix}\right.\qquad V=\{(\frac{5}{12},\frac{-19}{16})\}\)
6. \(\left\{\begin{matrix}4y=\frac{-17}{7}+3x\\x-5y=\frac{2}{7}\end{matrix}\right.\qquad V=\{(1,\frac{1}{7})\}\)
7. \(\left\{\begin{matrix}4x+y=\frac{-49}{10}\\-2x-5y=\frac{-43}{10}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{3}{2})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{1069}{90}+5x\\6x-y=\frac{-157}{30}\end{matrix}\right.\qquad V=\{(\frac{-19}{18},\frac{-11}{10})\}\)
9. \(\left\{\begin{matrix}5x-2y=\frac{344}{51}\\-x-4y=\frac{448}{255}\end{matrix}\right.\qquad V=\{(\frac{16}{15},\frac{-12}{17})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{-248}{133}-x\\3x+4y=\frac{166}{133}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{10}{19})\}\)
11. \(\left\{\begin{matrix}3x-5y=\frac{211}{84}\\3x-y=\frac{71}{84}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{-5}{12})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{41}{10}+2x\\-4x+y=\frac{71}{30}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-5}{6})\}\)