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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{-23}{6}+3x\\x-2y=\frac{-1}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-3y=\frac{21}{10}\\-6x=y+\frac{-9}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-6y=\frac{-599}{85}\\x=4y+\frac{-1399}{340}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+6y=\frac{-137}{19}\\3x=-y+\frac{-533}{114}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-2y=\frac{-44}{91}\\-6x+2y=\frac{1500}{91}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{-237}{95}-3x\\-x-5y=\frac{-116}{95}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+3y=-44\\4x-y=\frac{43}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{35}{8}-3x\\-2x+y=\frac{5}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{293}{18}\\-x=-5y+\frac{287}{18}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+y=\frac{-397}{95}\\6x+3y=\frac{339}{95}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-5y=\frac{-45}{176}\\5x=-3y+\frac{-1765}{176}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+4y=\frac{-218}{57}\\-3x-y=\frac{125}{38}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{-23}{6}+3x\\x-2y=\frac{-1}{6}\end{matrix}\right.\qquad V=\{(2,\frac{13}{12})\}\)
2. \(\left\{\begin{matrix}-2x-3y=\frac{21}{10}\\-6x=y+\frac{-9}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{-9}{10})\}\)
3. \(\left\{\begin{matrix}4x-6y=\frac{-599}{85}\\x=4y+\frac{-1399}{340}\end{matrix}\right.\qquad V=\{(\frac{-7}{20},\frac{16}{17})\}\)
4. \(\left\{\begin{matrix}-4x+6y=\frac{-137}{19}\\3x=-y+\frac{-533}{114}\end{matrix}\right.\qquad V=\{(\frac{-18}{19},\frac{-11}{6})\}\)
5. \(\left\{\begin{matrix}-x-2y=\frac{-44}{91}\\-6x+2y=\frac{1500}{91}\end{matrix}\right.\qquad V=\{(\frac{-16}{7},\frac{18}{13})\}\)
6. \(\left\{\begin{matrix}6y=\frac{-237}{95}-3x\\-x-5y=\frac{-116}{95}\end{matrix}\right.\qquad V=\{(\frac{-11}{5},\frac{13}{19})\}\)
7. \(\left\{\begin{matrix}-6x+3y=-44\\4x-y=\frac{43}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},-15)\}\)
8. \(\left\{\begin{matrix}5y=\frac{35}{8}-3x\\-2x+y=\frac{5}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{5}{4})\}\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{293}{18}\\-x=-5y+\frac{287}{18}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{19}{6})\}\)
10. \(\left\{\begin{matrix}-4x+y=\frac{-397}{95}\\6x+3y=\frac{339}{95}\end{matrix}\right.\qquad V=\{(\frac{17}{19},\frac{-3}{5})\}\)
11. \(\left\{\begin{matrix}x-5y=\frac{-45}{176}\\5x=-3y+\frac{-1765}{176}\end{matrix}\right.\qquad V=\{(\frac{-20}{11},\frac{-5}{16})\}\)
12. \(\left\{\begin{matrix}4x+4y=\frac{-218}{57}\\-3x-y=\frac{125}{38}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{4}{19})\}\)