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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-4y=\frac{54}{5}\\-x=-y+\frac{-6}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{738}{17}+6x\\2x+y=\frac{162}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{-201}{13}-x\\4x+2y=\frac{15}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-4y=\frac{-11}{52}\\-x=-5y+\frac{281}{104}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{-2}{19}-2x\\3x-y=\frac{-69}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{-9}{2}-3x\\x+3y=\frac{-5}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+6y=\frac{121}{12}\\x-6y=\frac{-67}{12}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{-2}{3}-x\\-2x-4y=\frac{4}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-4y=\frac{119}{18}\\-x-y=\frac{113}{72}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{-39}{5}+x\\4x+4y=\frac{-84}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{-227}{8}+5x\\-6x+y=\frac{-41}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-5y=\frac{-359}{19}\\5x-y=\frac{-29}{95}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-4y=\frac{54}{5}\\-x=-y+\frac{-6}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{-9}{5})\}\)
2. \(\left\{\begin{matrix}6y=\frac{738}{17}+6x\\2x+y=\frac{162}{17}\end{matrix}\right.\qquad V=\{(\frac{13}{17},8)\}\)
3. \(\left\{\begin{matrix}-4y=\frac{-201}{13}-x\\4x+2y=\frac{15}{13}\end{matrix}\right.\qquad V=\{(\frac{-19}{13},\frac{7}{2})\}\)
4. \(\left\{\begin{matrix}6x-4y=\frac{-11}{52}\\-x=-5y+\frac{281}{104}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{8}{13})\}\)
5. \(\left\{\begin{matrix}3y=\frac{-2}{19}-2x\\3x-y=\frac{-69}{19}\end{matrix}\right.\qquad V=\{(-1,\frac{12}{19})\}\)
6. \(\left\{\begin{matrix}3y=\frac{-9}{2}-3x\\x+3y=\frac{-5}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{-1}{2})\}\)
7. \(\left\{\begin{matrix}-3x+6y=\frac{121}{12}\\x-6y=\frac{-67}{12}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{5}{9})\}\)
8. \(\left\{\begin{matrix}2y=\frac{-2}{3}-x\\-2x-4y=\frac{4}{3}\end{matrix}\right.\qquad V=\{(-2,\frac{2}{3})\}\)
9. \(\left\{\begin{matrix}2x-4y=\frac{119}{18}\\-x-y=\frac{113}{72}\end{matrix}\right.\qquad V=\{(\frac{1}{18},\frac{-13}{8})\}\)
10. \(\left\{\begin{matrix}5y=\frac{-39}{5}+x\\4x+4y=\frac{-84}{5}\end{matrix}\right.\qquad V=\{(\frac{-11}{5},-2)\}\)
11. \(\left\{\begin{matrix}2y=\frac{-227}{8}+5x\\-6x+y=\frac{-41}{4}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},-17)\}\)
12. \(\left\{\begin{matrix}-5x-5y=\frac{-359}{19}\\5x-y=\frac{-29}{95}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{16}{5})\}\)