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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{-84}{13}-4x\\-x+y=\frac{31}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{31}{9}-6x\\-x+y=\frac{-1}{18}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-2y=\frac{50}{9}\\-6x-y=\frac{-13}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+6y=-45\\-x=3y+25\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{15}{2}+3x\\-6x-y=7\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+4y=\frac{-223}{35}\\4x=2y+\frac{332}{35}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+5y=\frac{-283}{6}\\-x+5y=\frac{-142}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+2y=\frac{-711}{19}\\-5x=2y+\frac{777}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+3y=\frac{-46}{15}\\-6x=3y+\frac{-22}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+3y=\frac{-73}{17}\\2x-y=\frac{109}{51}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+6y=\frac{-27}{4}\\3x+y=\frac{71}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{-109}{15}-3x\\2x-y=\frac{-26}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{-84}{13}-4x\\-x+y=\frac{31}{13}\end{matrix}\right.\qquad V=\{(-2,\frac{5}{13})\}\)
2. \(\left\{\begin{matrix}2y=\frac{31}{9}-6x\\-x+y=\frac{-1}{18}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{7}{18})\}\)
3. \(\left\{\begin{matrix}4x-2y=\frac{50}{9}\\-6x-y=\frac{-13}{3}\end{matrix}\right.\qquad V=\{(\frac{8}{9},-1)\}\)
4. \(\left\{\begin{matrix}-3x+6y=-45\\-x=3y+25\end{matrix}\right.\qquad V=\{(-1,-8)\}\)
5. \(\left\{\begin{matrix}3y=\frac{15}{2}+3x\\-6x-y=7\end{matrix}\right.\qquad V=\{(\frac{-19}{14},\frac{8}{7})\}\)
6. \(\left\{\begin{matrix}-x+4y=\frac{-223}{35}\\4x=2y+\frac{332}{35}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{-8}{7})\}\)
7. \(\left\{\begin{matrix}-2x+5y=\frac{-283}{6}\\-x+5y=\frac{-142}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{-19}{2})\}\)
8. \(\left\{\begin{matrix}-x+2y=\frac{-711}{19}\\-5x=2y+\frac{777}{19}\end{matrix}\right.\qquad V=\{(\frac{-11}{19},-19)\}\)
9. \(\left\{\begin{matrix}-x+3y=\frac{-46}{15}\\-6x=3y+\frac{-22}{5}\end{matrix}\right.\qquad V=\{(\frac{16}{15},\frac{-2}{3})\}\)
10. \(\left\{\begin{matrix}3x+3y=\frac{-73}{17}\\2x-y=\frac{109}{51}\end{matrix}\right.\qquad V=\{(\frac{4}{17},\frac{-5}{3})\}\)
11. \(\left\{\begin{matrix}2x+6y=\frac{-27}{4}\\3x+y=\frac{71}{8}\end{matrix}\right.\qquad V=\{(\frac{15}{4},\frac{-19}{8})\}\)
12. \(\left\{\begin{matrix}-5y=\frac{-109}{15}-3x\\2x-y=\frac{-26}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{4}{3})\}\)