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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3y=\frac{-249}{76}-5x\\4x-y=\frac{-54}{19}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-5y=\frac{40}{7}\\6x-y=\frac{50}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+6y=\frac{-1377}{80}\\x=y+\frac{147}{80}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-2y=\frac{19}{8}\\3x-y=\frac{-7}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{69}{38}-3x\\x-2y=\frac{-137}{38}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{-419}{84}+x\\-3x-2y=\frac{-153}{28}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{56}{15}+4x\\x+6y=\frac{236}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+5y=\frac{-125}{2}\\x=2y+\frac{41}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-5y=\frac{-121}{15}\\6x+2y=\frac{166}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-5y=\frac{-76}{85}\\4x-y=\frac{-73}{85}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-y=\frac{-5}{9}\\-6x=2y+\frac{41}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+3y=\frac{-179}{6}\\-6x-y=\frac{304}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3y=\frac{-249}{76}-5x\\4x-y=\frac{-54}{19}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-3}{19})\}\)
2. \(\left\{\begin{matrix}-5x-5y=\frac{40}{7}\\6x-y=\frac{50}{7}\end{matrix}\right.\qquad V=\{(\frac{6}{7},-2)\}\)
3. \(\left\{\begin{matrix}5x+6y=\frac{-1377}{80}\\x=y+\frac{147}{80}\end{matrix}\right.\qquad V=\{(\frac{-9}{16},\frac{-12}{5})\}\)
4. \(\left\{\begin{matrix}-5x-2y=\frac{19}{8}\\3x-y=\frac{-7}{8}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{-1}{4})\}\)
5. \(\left\{\begin{matrix}6y=\frac{69}{38}-3x\\x-2y=\frac{-137}{38}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{20}{19})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{-419}{84}+x\\-3x-2y=\frac{-153}{28}\end{matrix}\right.\qquad V=\{(\frac{11}{12},\frac{19}{14})\}\)
7. \(\left\{\begin{matrix}6y=\frac{56}{15}+4x\\x+6y=\frac{236}{15}\end{matrix}\right.\qquad V=\{(\frac{12}{5},\frac{20}{9})\}\)
8. \(\left\{\begin{matrix}-5x+5y=\frac{-125}{2}\\x=2y+\frac{41}{2}\end{matrix}\right.\qquad V=\{(\frac{9}{2},-8)\}\)
9. \(\left\{\begin{matrix}-x-5y=\frac{-121}{15}\\6x+2y=\frac{166}{15}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{4}{3})\}\)
10. \(\left\{\begin{matrix}3x-5y=\frac{-76}{85}\\4x-y=\frac{-73}{85}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{1}{17})\}\)
11. \(\left\{\begin{matrix}4x-y=\frac{-5}{9}\\-6x=2y+\frac{41}{3}\end{matrix}\right.\qquad V=\{(\frac{-19}{18},\frac{-11}{3})\}\)
12. \(\left\{\begin{matrix}5x+3y=\frac{-179}{6}\\-6x-y=\frac{304}{9}\end{matrix}\right.\qquad V=\{(\frac{-11}{2},\frac{-7}{9})\}\)