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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{-43}{24}-2x\\-x+5y=\frac{-859}{144}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-3y=\frac{11}{60}\\-5x+y=\frac{649}{180}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+4y=\frac{748}{171}\\5x=-y+\frac{-47}{171}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-3y=\frac{-113}{4}\\-4x+y=3\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{657}{17}-3x\\x+y=\frac{195}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-3y=\frac{-61}{8}\\-5x=y+\frac{-47}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x-2y=\frac{-41}{7}\\x+4y=\frac{1}{21}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{-73}{9}-2x\\2x-y=\frac{-25}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-2y=\frac{338}{9}\\4x-y=\frac{331}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+y=\frac{33}{10}\\-2x=-6y+\frac{19}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-4y=0\\-6x-y=-5\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{-335}{28}+2x\\x-5y=\frac{-697}{28}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{-43}{24}-2x\\-x+5y=\frac{-859}{144}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{-19}{18})\}\)
2. \(\left\{\begin{matrix}-3x-3y=\frac{11}{60}\\-5x+y=\frac{649}{180}\end{matrix}\right.\qquad V=\{(\frac{-11}{18},\frac{11}{20})\}\)
3. \(\left\{\begin{matrix}-6x+4y=\frac{748}{171}\\5x=-y+\frac{-47}{171}\end{matrix}\right.\qquad V=\{(\frac{-4}{19},\frac{7}{9})\}\)
4. \(\left\{\begin{matrix}5x-3y=\frac{-113}{4}\\-4x+y=3\end{matrix}\right.\qquad V=\{(\frac{11}{4},14)\}\)
5. \(\left\{\begin{matrix}-5y=\frac{657}{17}-3x\\x+y=\frac{195}{17}\end{matrix}\right.\qquad V=\{(12,\frac{-9}{17})\}\)
6. \(\left\{\begin{matrix}-5x-3y=\frac{-61}{8}\\-5x=y+\frac{-47}{8}\end{matrix}\right.\qquad V=\{(1,\frac{7}{8})\}\)
7. \(\left\{\begin{matrix}3x-2y=\frac{-41}{7}\\x+4y=\frac{1}{21}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{3}{7})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{-73}{9}-2x\\2x-y=\frac{-25}{9}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{16}{9})\}\)
9. \(\left\{\begin{matrix}4x-2y=\frac{338}{9}\\4x-y=\frac{331}{9}\end{matrix}\right.\qquad V=\{(9,\frac{-7}{9})\}\)
10. \(\left\{\begin{matrix}-x+y=\frac{33}{10}\\-2x=-6y+\frac{19}{5}\end{matrix}\right.\qquad V=\{(-4,\frac{-7}{10})\}\)
11. \(\left\{\begin{matrix}-4x-4y=0\\-6x-y=-5\end{matrix}\right.\qquad V=\{(1,-1)\}\)
12. \(\left\{\begin{matrix}-3y=\frac{-335}{28}+2x\\x-5y=\frac{-697}{28}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{19}{4})\}\)