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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+4y=\frac{-239}{52}\\-x=y+\frac{87}{104}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-6y=\frac{-87}{10}\\-5x=-y+\frac{11}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-44}{17}+4x\\x-y=\frac{9}{17}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-747}{266}+6x\\x-3y=\frac{1027}{266}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+y=\frac{-133}{340}\\3x-4y=\frac{73}{340}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{-63}{5}+3x\\4x-4y=\frac{364}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{538}{9}+2x\\-4x-y=\frac{-184}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-4y=\frac{-1048}{323}\\-x+y=\frac{-270}{323}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+5y=\frac{-3}{4}\\3x=5y+\frac{11}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-3y=\frac{-25}{6}\\x-y=\frac{-19}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-5y=\frac{-433}{68}\\6x=-y+\frac{-403}{68}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{-463}{15}-6x\\-4x+3y=\frac{371}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+4y=\frac{-239}{52}\\-x=y+\frac{87}{104}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{-19}{13})\}\)
2. \(\left\{\begin{matrix}3x-6y=\frac{-87}{10}\\-5x=-y+\frac{11}{2}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},1)\}\)
3. \(\left\{\begin{matrix}3y=\frac{-44}{17}+4x\\x-y=\frac{9}{17}\end{matrix}\right.\qquad V=\{(1,\frac{8}{17})\}\)
4. \(\left\{\begin{matrix}3y=\frac{-747}{266}+6x\\x-3y=\frac{1027}{266}\end{matrix}\right.\qquad V=\{(\frac{-4}{19},\frac{-19}{14})\}\)
5. \(\left\{\begin{matrix}-3x+y=\frac{-133}{340}\\3x-4y=\frac{73}{340}\end{matrix}\right.\qquad V=\{(\frac{3}{20},\frac{1}{17})\}\)
6. \(\left\{\begin{matrix}-y=\frac{-63}{5}+3x\\4x-4y=\frac{364}{15}\end{matrix}\right.\qquad V=\{(\frac{14}{3},\frac{-7}{5})\}\)
7. \(\left\{\begin{matrix}3y=\frac{538}{9}+2x\\-4x-y=\frac{-184}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{9},20)\}\)
8. \(\left\{\begin{matrix}-3x-4y=\frac{-1048}{323}\\-x+y=\frac{-270}{323}\end{matrix}\right.\qquad V=\{(\frac{16}{17},\frac{2}{19})\}\)
9. \(\left\{\begin{matrix}x+5y=\frac{-3}{4}\\3x=5y+\frac{11}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-1}{4})\}\)
10. \(\left\{\begin{matrix}2x-3y=\frac{-25}{6}\\x-y=\frac{-19}{12}\end{matrix}\right.\qquad V=\{(\frac{-7}{12},1)\}\)
11. \(\left\{\begin{matrix}2x-5y=\frac{-433}{68}\\6x=-y+\frac{-403}{68}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{14}{17})\}\)
12. \(\left\{\begin{matrix}y=\frac{-463}{15}-6x\\-4x+3y=\frac{371}{15}\end{matrix}\right.\qquad V=\{(\frac{-16}{3},\frac{17}{15})\}\)