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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-5y=\frac{-145}{8}\\-6x+y=\frac{47}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-y=\frac{-22}{15}\\3x=6y+\frac{-27}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+y=\frac{-206}{143}\\-3x+2y=\frac{563}{143}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=-3+3x\\x-2y=\frac{-79}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-3y=\frac{-207}{65}\\-x=y+\frac{31}{130}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-5y=\frac{61}{3}\\-5x=4y+\frac{43}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-6y=\frac{-26}{3}\\-x=y+\frac{65}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-3y=\frac{297}{17}\\x=-2y+\frac{-367}{68}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-2y=\frac{-55}{24}\\-5x=3y+\frac{5}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-4y=\frac{-1381}{85}\\-x-6y=\frac{-1809}{85}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x+2y=\frac{-114}{5}\\3x-y=\frac{111}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+5y=\frac{25}{77}\\6x+y=\frac{243}{77}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-5y=\frac{-145}{8}\\-6x+y=\frac{47}{8}\end{matrix}\right.\qquad V=\{(\frac{-5}{16},4)\}\)
2. \(\left\{\begin{matrix}x-y=\frac{-22}{15}\\3x=6y+\frac{-27}{5}\end{matrix}\right.\qquad V=\{(\frac{-17}{15},\frac{1}{3})\}\)
3. \(\left\{\begin{matrix}x+y=\frac{-206}{143}\\-3x+2y=\frac{563}{143}\end{matrix}\right.\qquad V=\{(\frac{-15}{11},\frac{-1}{13})\}\)
4. \(\left\{\begin{matrix}-2y=-3+3x\\x-2y=\frac{-79}{9}\end{matrix}\right.\qquad V=\{(\frac{-13}{9},\frac{11}{3})\}\)
5. \(\left\{\begin{matrix}-6x-3y=\frac{-207}{65}\\-x=y+\frac{31}{130}\end{matrix}\right.\qquad V=\{(\frac{13}{10},\frac{-20}{13})\}\)
6. \(\left\{\begin{matrix}x-5y=\frac{61}{3}\\-5x=4y+\frac{43}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{3},-4)\}\)
7. \(\left\{\begin{matrix}2x-6y=\frac{-26}{3}\\-x=y+\frac{65}{9}\end{matrix}\right.\qquad V=\{(\frac{-13}{2},\frac{-13}{18})\}\)
8. \(\left\{\begin{matrix}-4x-3y=\frac{297}{17}\\x=-2y+\frac{-367}{68}\end{matrix}\right.\qquad V=\{(\frac{-15}{4},\frac{-14}{17})\}\)
9. \(\left\{\begin{matrix}x-2y=\frac{-55}{24}\\-5x=3y+\frac{5}{8}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{5}{6})\}\)
10. \(\left\{\begin{matrix}-3x-4y=\frac{-1381}{85}\\-x-6y=\frac{-1809}{85}\end{matrix}\right.\qquad V=\{(\frac{15}{17},\frac{17}{5})\}\)
11. \(\left\{\begin{matrix}-4x+2y=\frac{-114}{5}\\3x-y=\frac{111}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},-12)\}\)
12. \(\left\{\begin{matrix}-4x+5y=\frac{25}{77}\\6x+y=\frac{243}{77}\end{matrix}\right.\qquad V=\{(\frac{5}{11},\frac{3}{7})\}\)