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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+2y=\frac{-304}{17}\\x=-y+\frac{-101}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+3y=\frac{117}{14}\\x=2y+\frac{-221}{42}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+3y=\frac{-159}{56}\\-x=5y+\frac{181}{56}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+y=\frac{2}{9}\\6x-2y=\frac{20}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{-361}{119}-6x\\5x-4y=\frac{-247}{119}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+y=\frac{-5}{18}\\-5x=5y+\frac{25}{18}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+3y=\frac{18}{5}\\x-y=\frac{-6}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-3y=\frac{75}{19}\\x=-2y+\frac{-2}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{3}{7}+5x\\-x+2y=\frac{-81}{35}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+2y=\frac{-13}{9}\\6x=-y+-6\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{339}{8}-6x\\3x-y=\frac{-45}{16}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-2y=\frac{-346}{57}\\4x=3y+\frac{-96}{19}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+2y=\frac{-304}{17}\\x=-y+\frac{-101}{17}\end{matrix}\right.\qquad V=\{(-6,\frac{1}{17})\}\)
2. \(\left\{\begin{matrix}5x+3y=\frac{117}{14}\\x=2y+\frac{-221}{42}\end{matrix}\right.\qquad V=\{(\frac{1}{14},\frac{8}{3})\}\)
3. \(\left\{\begin{matrix}3x+3y=\frac{-159}{56}\\-x=5y+\frac{181}{56}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{-4}{7})\}\)
4. \(\left\{\begin{matrix}5x+y=\frac{2}{9}\\6x-2y=\frac{20}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{9},-2)\}\)
5. \(\left\{\begin{matrix}-y=\frac{-361}{119}-6x\\5x-4y=\frac{-247}{119}\end{matrix}\right.\qquad V=\{(\frac{-9}{17},\frac{-1}{7})\}\)
6. \(\left\{\begin{matrix}x+y=\frac{-5}{18}\\-5x=5y+\frac{25}{18}\end{matrix}\right.\qquad V=\{(\frac{13}{18},-1)\}\)
7. \(\left\{\begin{matrix}-3x+3y=\frac{18}{5}\\x-y=\frac{-6}{5}\end{matrix}\right.\qquad V=\{(\frac{-11}{5},-1)\}\)
8. \(\left\{\begin{matrix}3x-3y=\frac{75}{19}\\x=-2y+\frac{-2}{19}\end{matrix}\right.\qquad V=\{(\frac{16}{19},\frac{-9}{19})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{3}{7}+5x\\-x+2y=\frac{-81}{35}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{-4}{5})\}\)
10. \(\left\{\begin{matrix}2x+2y=\frac{-13}{9}\\6x=-y+-6\end{matrix}\right.\qquad V=\{(\frac{-19}{18},\frac{1}{3})\}\)
11. \(\left\{\begin{matrix}6y=\frac{339}{8}-6x\\3x-y=\frac{-45}{16}\end{matrix}\right.\qquad V=\{(\frac{17}{16},6)\}\)
12. \(\left\{\begin{matrix}-x-2y=\frac{-346}{57}\\4x=3y+\frac{-96}{19}\end{matrix}\right.\qquad V=\{(\frac{14}{19},\frac{8}{3})\}\)