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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{1545}{221}+3x\\5x-y=\frac{43}{221}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{-16}{3}-4x\\3x+y=\frac{8}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{181}{3}-3x\\x-3y=\frac{53}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=-30-2x\\-3x-y=-32\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{-87}{5}+6x\\-x+4y=\frac{91}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{5}{2}+2x\\-x-y=\frac{5}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{-403}{105}+x\\-4x-5y=\frac{-13}{21}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{11}{9}-3x\\-x+3y=\frac{-13}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+6y=\frac{-55}{7}\\-4x+y=\frac{-269}{70}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+5y=\frac{-178}{13}\\-x=6y+\frac{148}{13}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+5y=\frac{-7}{3}\\-x=-y+\frac{-23}{30}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+4y=\frac{-258}{19}\\-5x+y=\frac{-27}{19}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{1545}{221}+3x\\5x-y=\frac{43}{221}\end{matrix}\right.\qquad V=\{(\frac{-3}{17},\frac{-14}{13})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{-16}{3}-4x\\3x+y=\frac{8}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{5}{3})\}\)
3. \(\left\{\begin{matrix}4y=\frac{181}{3}-3x\\x-3y=\frac{53}{4}\end{matrix}\right.\qquad V=\{(18,\frac{19}{12})\}\)
4. \(\left\{\begin{matrix}-4y=-30-2x\\-3x-y=-32\end{matrix}\right.\qquad V=\{(7,11)\}\)
5. \(\left\{\begin{matrix}-6y=\frac{-87}{5}+6x\\-x+4y=\frac{91}{10}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{12}{5})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{5}{2}+2x\\-x-y=\frac{5}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{-1}{4})\}\)
7. \(\left\{\begin{matrix}2y=\frac{-403}{105}+x\\-4x-5y=\frac{-13}{21}\end{matrix}\right.\qquad V=\{(\frac{11}{7},\frac{-17}{15})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{11}{9}-3x\\-x+3y=\frac{-13}{6}\end{matrix}\right.\qquad V=\{(-1,\frac{-19}{18})\}\)
9. \(\left\{\begin{matrix}-5x+6y=\frac{-55}{7}\\-4x+y=\frac{-269}{70}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-9}{14})\}\)
10. \(\left\{\begin{matrix}-6x+5y=\frac{-178}{13}\\-x=6y+\frac{148}{13}\end{matrix}\right.\qquad V=\{(\frac{8}{13},-2)\}\)
11. \(\left\{\begin{matrix}4x+5y=\frac{-7}{3}\\-x=-y+\frac{-23}{30}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{-3}{5})\}\)
12. \(\left\{\begin{matrix}5x+4y=\frac{-258}{19}\\-5x+y=\frac{-27}{19}\end{matrix}\right.\qquad V=\{(\frac{-6}{19},-3)\}\)