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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-3y=\frac{-415}{304}\\2x=-3y+\frac{431}{304}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{-875}{88}-5x\\-3x+y=\frac{239}{88}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{-6}{5}+2x\\-5x+4y=\frac{-51}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+2y=\frac{38}{7}\\-6x-6y=\frac{39}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{82}{5}+6x\\-4x-y=\frac{68}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x-2y=\frac{-413}{104}\\4x+y=\frac{733}{208}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+5y=\frac{-137}{13}\\-3x+6y=\frac{-177}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+3y=\frac{-6}{17}\\x-3y=\frac{50}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-4y=\frac{104}{15}\\x=-5y+\frac{-124}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-4y=\frac{-25}{17}\\-x-6y=\frac{47}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{-86}{21}-x\\-3x-6y=\frac{-85}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-3y=\frac{25}{33}\\-x=-y+\frac{-25}{99}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-3y=\frac{-415}{304}\\2x=-3y+\frac{431}{304}\end{matrix}\right.\qquad V=\{(\frac{1}{19},\frac{7}{16})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{-875}{88}-5x\\-3x+y=\frac{239}{88}\end{matrix}\right.\qquad V=\{(\frac{-4}{11},\frac{13}{8})\}\)
3. \(\left\{\begin{matrix}y=\frac{-6}{5}+2x\\-5x+4y=\frac{-51}{20}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{3}{10})\}\)
4. \(\left\{\begin{matrix}-x+2y=\frac{38}{7}\\-6x-6y=\frac{39}{7}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},\frac{3}{2})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{82}{5}+6x\\-4x-y=\frac{68}{5}\end{matrix}\right.\qquad V=\{(\frac{-19}{5},\frac{8}{5})\}\)
6. \(\left\{\begin{matrix}-3x-2y=\frac{-413}{104}\\4x+y=\frac{733}{208}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{17}{16})\}\)
7. \(\left\{\begin{matrix}-x+5y=\frac{-137}{13}\\-3x+6y=\frac{-177}{13}\end{matrix}\right.\qquad V=\{(\frac{7}{13},-2)\}\)
8. \(\left\{\begin{matrix}3x+3y=\frac{-6}{17}\\x-3y=\frac{50}{17}\end{matrix}\right.\qquad V=\{(\frac{11}{17},\frac{-13}{17})\}\)
9. \(\left\{\begin{matrix}-2x-4y=\frac{104}{15}\\x=-5y+\frac{-124}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{15},\frac{-8}{5})\}\)
10. \(\left\{\begin{matrix}-5x-4y=\frac{-25}{17}\\-x-6y=\frac{47}{17}\end{matrix}\right.\qquad V=\{(\frac{13}{17},\frac{-10}{17})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{-86}{21}-x\\-3x-6y=\frac{-85}{7}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{19}{14})\}\)
12. \(\left\{\begin{matrix}3x-3y=\frac{25}{33}\\-x=-y+\frac{-25}{99}\end{matrix}\right.\qquad V=\{(\frac{-7}{11},\frac{-8}{9})\}\)