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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{39}{4}+6x\\-2x-y=\frac{11}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6y=\frac{-212}{21}-4x\\x-6y=\frac{-379}{42}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x-y=-74\\3x+6y=-18\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+y=\frac{14}{5}\\5x+5y=\frac{1}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=12-4x\\2x+y=2\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{11}{3}-5x\\x-5y=\frac{-259}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+5y=\frac{-56}{3}\\-5x-y=\frac{26}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-5y=\frac{-43}{18}\\-3x+y=\frac{149}{18}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-6y=\frac{-17}{3}\\5x+6y=\frac{-19}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-5y=\frac{-15}{2}\\x+3y=-4\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x+3y=\frac{-332}{119}\\x-y=\frac{159}{238}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{176}{21}+6x\\-4x-4y=\frac{52}{21}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{39}{4}+6x\\-2x-y=\frac{11}{8}\end{matrix}\right.\qquad V=\{(-1,\frac{5}{8})\}\)
2. \(\left\{\begin{matrix}-6y=\frac{-212}{21}-4x\\x-6y=\frac{-379}{42}\end{matrix}\right.\qquad V=\{(\frac{-5}{14},\frac{13}{9})\}\)
3. \(\left\{\begin{matrix}5x-y=-74\\3x+6y=-18\end{matrix}\right.\qquad V=\{(-14,4)\}\)
4. \(\left\{\begin{matrix}-4x+y=\frac{14}{5}\\5x+5y=\frac{1}{4}\end{matrix}\right.\qquad V=\{(\frac{-11}{20},\frac{3}{5})\}\)
5. \(\left\{\begin{matrix}4y=12-4x\\2x+y=2\end{matrix}\right.\qquad V=\{(-1,4)\}\)
6. \(\left\{\begin{matrix}2y=\frac{11}{3}-5x\\x-5y=\frac{-259}{15}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{10}{3})\}\)
7. \(\left\{\begin{matrix}6x+5y=\frac{-56}{3}\\-5x-y=\frac{26}{9}\end{matrix}\right.\qquad V=\{(\frac{2}{9},-4)\}\)
8. \(\left\{\begin{matrix}2x-5y=\frac{-43}{18}\\-3x+y=\frac{149}{18}\end{matrix}\right.\qquad V=\{(-3,\frac{-13}{18})\}\)
9. \(\left\{\begin{matrix}x-6y=\frac{-17}{3}\\5x+6y=\frac{-19}{3}\end{matrix}\right.\qquad V=\{(-2,\frac{11}{18})\}\)
10. \(\left\{\begin{matrix}4x-5y=\frac{-15}{2}\\x+3y=-4\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-1}{2})\}\)
11. \(\left\{\begin{matrix}-4x+3y=\frac{-332}{119}\\x-y=\frac{159}{238}\end{matrix}\right.\qquad V=\{(\frac{11}{14},\frac{2}{17})\}\)
12. \(\left\{\begin{matrix}y=\frac{176}{21}+6x\\-4x-4y=\frac{52}{21}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{2}{3})\}\)