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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-6y=-45\\-3x=-y+5\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{-45}{7}+2x\\4x-4y=\frac{96}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-2y=\frac{101}{6}\\-x-2y=\frac{233}{24}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+4y=\frac{431}{44}\\x-4y=\frac{163}{44}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-3y=\frac{13}{57}\\x-6y=\frac{533}{57}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-y=\frac{11}{2}\\3x+5y=\frac{-51}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{67}{10}-x\\-5x+3y=\frac{-11}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{-181}{56}-2x\\6x+6y=\frac{-111}{56}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+6y=\frac{1467}{187}\\2x+5y=\frac{1690}{187}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-3y=\frac{-219}{13}\\-4x=5y+\frac{-330}{13}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+3y=\frac{121}{17}\\-x+3y=\frac{133}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{108}{7}-4x\\-x-y=\frac{-75}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-6y=-45\\-3x=-y+5\end{matrix}\right.\qquad V=\{(1,8)\}\)
2. \(\left\{\begin{matrix}y=\frac{-45}{7}+2x\\4x-4y=\frac{96}{7}\end{matrix}\right.\qquad V=\{(3,\frac{-3}{7})\}\)
3. \(\left\{\begin{matrix}-4x-2y=\frac{101}{6}\\-x-2y=\frac{233}{24}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},\frac{-11}{3})\}\)
4. \(\left\{\begin{matrix}5x+4y=\frac{431}{44}\\x-4y=\frac{163}{44}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-4}{11})\}\)
5. \(\left\{\begin{matrix}-6x-3y=\frac{13}{57}\\x-6y=\frac{533}{57}\end{matrix}\right.\qquad V=\{(\frac{13}{19},\frac{-13}{9})\}\)
6. \(\left\{\begin{matrix}-x-y=\frac{11}{2}\\3x+5y=\frac{-51}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{-9}{2})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{67}{10}-x\\-5x+3y=\frac{-11}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-6}{5})\}\)
8. \(\left\{\begin{matrix}-y=\frac{-181}{56}-2x\\6x+6y=\frac{-111}{56}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{6}{7})\}\)
9. \(\left\{\begin{matrix}-x+6y=\frac{1467}{187}\\2x+5y=\frac{1690}{187}\end{matrix}\right.\qquad V=\{(\frac{15}{17},\frac{16}{11})\}\)
10. \(\left\{\begin{matrix}-x-3y=\frac{-219}{13}\\-4x=5y+\frac{-330}{13}\end{matrix}\right.\qquad V=\{(\frac{-15}{13},6)\}\)
11. \(\left\{\begin{matrix}-5x+3y=\frac{121}{17}\\-x+3y=\frac{133}{17}\end{matrix}\right.\qquad V=\{(\frac{3}{17},\frac{8}{3})\}\)
12. \(\left\{\begin{matrix}3y=\frac{108}{7}-4x\\-x-y=\frac{-75}{14}\end{matrix}\right.\qquad V=\{(\frac{-9}{14},6)\}\)