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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+y=\frac{-595}{6}\\5x+2y=\frac{-295}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+3y=\frac{-51}{10}\\x=y+\frac{1}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{146}{15}+4x\\6x+y=\frac{-177}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{-13}{2}+5x\\3x+y=\frac{21}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+y=\frac{-145}{12}\\-4x-4y=\frac{-53}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+2y=\frac{-83}{17}\\x+3y=\frac{-65}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-2y=\frac{-424}{117}\\-4x=y+\frac{-392}{117}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-y=\frac{-8}{9}\\3x=-2y+\frac{4}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+3y=\frac{9}{8}\\-5x+y=\frac{139}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{-796}{77}+4x\\-x-y=\frac{-178}{77}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-y=\frac{-76}{15}\\-6x-5y=\frac{-66}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-4y=\frac{-346}{95}\\-x=4y+\frac{-31}{95}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+y=\frac{-595}{6}\\5x+2y=\frac{-295}{3}\end{matrix}\right.\qquad V=\{(-20,\frac{5}{6})\}\)
2. \(\left\{\begin{matrix}3x+3y=\frac{-51}{10}\\x=y+\frac{1}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-19}{20})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{146}{15}+4x\\6x+y=\frac{-177}{5}\end{matrix}\right.\qquad V=\{(\frac{-19}{3},\frac{13}{5})\}\)
4. \(\left\{\begin{matrix}2y=\frac{-13}{2}+5x\\3x+y=\frac{21}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{2},3)\}\)
5. \(\left\{\begin{matrix}-5x+y=\frac{-145}{12}\\-4x-4y=\frac{-53}{3}\end{matrix}\right.\qquad V=\{(\frac{11}{4},\frac{5}{3})\}\)
6. \(\left\{\begin{matrix}3x+2y=\frac{-83}{17}\\x+3y=\frac{-65}{17}\end{matrix}\right.\qquad V=\{(-1,\frac{-16}{17})\}\)
7. \(\left\{\begin{matrix}-3x-2y=\frac{-424}{117}\\-4x=y+\frac{-392}{117}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{8}{9})\}\)
8. \(\left\{\begin{matrix}-x-y=\frac{-8}{9}\\3x=-2y+\frac{4}{9}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{20}{9})\}\)
9. \(\left\{\begin{matrix}2x+3y=\frac{9}{8}\\-5x+y=\frac{139}{8}\end{matrix}\right.\qquad V=\{(-3,\frac{19}{8})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{-796}{77}+4x\\-x-y=\frac{-178}{77}\end{matrix}\right.\qquad V=\{(\frac{20}{7},\frac{-6}{11})\}\)
11. \(\left\{\begin{matrix}4x-y=\frac{-76}{15}\\-6x-5y=\frac{-66}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},\frac{16}{5})\}\)
12. \(\left\{\begin{matrix}6x-4y=\frac{-346}{95}\\-x=4y+\frac{-31}{95}\end{matrix}\right.\qquad V=\{(\frac{-9}{19},\frac{1}{5})\}\)