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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+5y=\frac{565}{182}\\-3x=2y+\frac{-447}{182}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-2y=\frac{-77}{15}\\x=-y+\frac{109}{60}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-2019}{208}+6x\\-x+5y=\frac{-629}{208}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-6y=\frac{184}{19}\\x=-2y+\frac{-74}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+6y=\frac{2}{5}\\x-4y=\frac{-3}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+4y=\frac{56}{9}\\3x-y=\frac{1}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{279}{26}+3x\\x-y=\frac{-307}{104}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{-124}{15}-6x\\-3x-5y=\frac{349}{30}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+6y=\frac{-19}{2}\\3x+4y=\frac{-1}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+y=0\\-5x-4y=\frac{13}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+5y=\frac{-17}{3}\\-2x-5y=3\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+5y=\frac{-227}{182}\\2x=-y+\frac{-751}{182}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+5y=\frac{565}{182}\\-3x=2y+\frac{-447}{182}\end{matrix}\right.\qquad V=\{(\frac{5}{14},\frac{9}{13})\}\)
2. \(\left\{\begin{matrix}-4x-2y=\frac{-77}{15}\\x=-y+\frac{109}{60}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{16}{15})\}\)
3. \(\left\{\begin{matrix}3y=\frac{-2019}{208}+6x\\-x+5y=\frac{-629}{208}\end{matrix}\right.\qquad V=\{(\frac{19}{13},\frac{-5}{16})\}\)
4. \(\left\{\begin{matrix}-2x-6y=\frac{184}{19}\\x=-2y+\frac{-74}{19}\end{matrix}\right.\qquad V=\{(-2,\frac{-18}{19})\}\)
5. \(\left\{\begin{matrix}-2x+6y=\frac{2}{5}\\x-4y=\frac{-3}{5}\end{matrix}\right.\qquad V=\{(1,\frac{2}{5})\}\)
6. \(\left\{\begin{matrix}5x+4y=\frac{56}{9}\\3x-y=\frac{1}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{9},1)\}\)
7. \(\left\{\begin{matrix}4y=\frac{279}{26}+3x\\x-y=\frac{-307}{104}\end{matrix}\right.\qquad V=\{(\frac{-14}{13},\frac{15}{8})\}\)
8. \(\left\{\begin{matrix}y=\frac{-124}{15}-6x\\-3x-5y=\frac{349}{30}\end{matrix}\right.\qquad V=\{(\frac{-11}{10},\frac{-5}{3})\}\)
9. \(\left\{\begin{matrix}x+6y=\frac{-19}{2}\\3x+4y=\frac{-1}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{2},-2)\}\)
10. \(\left\{\begin{matrix}-2x+y=0\\-5x-4y=\frac{13}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},-1)\}\)
11. \(\left\{\begin{matrix}x+5y=\frac{-17}{3}\\-2x-5y=3\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{-5}{3})\}\)
12. \(\left\{\begin{matrix}-4x+5y=\frac{-227}{182}\\2x=-y+\frac{-751}{182}\end{matrix}\right.\qquad V=\{(\frac{-18}{13},\frac{-19}{14})\}\)