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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{-541}{14}-3x\\-6x+y=\frac{11}{14}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-3y=-15\\-3x+y=\frac{2}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-4y=\frac{1}{5}\\3x=-y+\frac{-32}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-y=16\\2x=-2y+\frac{-26}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{-191}{102}-x\\5x+4y=\frac{-1879}{102}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+3y=\frac{-339}{136}\\-x=-y+\frac{-65}{136}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{-119}{12}-3x\\2x-y=\frac{-49}{18}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+4y=\frac{-1212}{17}\\-x+3y=\frac{-881}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{31}{20}-5x\\x+6y=\frac{-89}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+5y=\frac{487}{40}\\5x-y=\frac{169}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+y=\frac{7}{45}\\-6x=5y+\frac{73}{45}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+4y=\frac{-107}{13}\\-x=y+\frac{4}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{-541}{14}-3x\\-6x+y=\frac{11}{14}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{17}{2})\}\)
2. \(\left\{\begin{matrix}-4x-3y=-15\\-3x+y=\frac{2}{3}\end{matrix}\right.\qquad V=\{(1,\frac{11}{3})\}\)
3. \(\left\{\begin{matrix}3x-4y=\frac{1}{5}\\3x=-y+\frac{-32}{15}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{-7}{15})\}\)
4. \(\left\{\begin{matrix}-6x-y=16\\2x=-2y+\frac{-26}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},-2)\}\)
5. \(\left\{\begin{matrix}-2y=\frac{-191}{102}-x\\5x+4y=\frac{-1879}{102}\end{matrix}\right.\qquad V=\{(\frac{-19}{6},\frac{-11}{17})\}\)
6. \(\left\{\begin{matrix}-6x+3y=\frac{-339}{136}\\-x=-y+\frac{-65}{136}\end{matrix}\right.\qquad V=\{(\frac{6}{17},\frac{-1}{8})\}\)
7. \(\left\{\begin{matrix}6y=\frac{-119}{12}-3x\\2x-y=\frac{-49}{18}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{-7}{9})\}\)
8. \(\left\{\begin{matrix}-4x+4y=\frac{-1212}{17}\\-x+3y=\frac{-881}{17}\end{matrix}\right.\qquad V=\{(\frac{14}{17},-17)\}\)
9. \(\left\{\begin{matrix}-4y=\frac{31}{20}-5x\\x+6y=\frac{-89}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-7}{10})\}\)
10. \(\left\{\begin{matrix}6x+5y=\frac{487}{40}\\5x-y=\frac{169}{8}\end{matrix}\right.\qquad V=\{(\frac{19}{5},\frac{-17}{8})\}\)
11. \(\left\{\begin{matrix}6x+y=\frac{7}{45}\\-6x=5y+\frac{73}{45}\end{matrix}\right.\qquad V=\{(\frac{1}{10},\frac{-4}{9})\}\)
12. \(\left\{\begin{matrix}-3x+4y=\frac{-107}{13}\\-x=y+\frac{4}{13}\end{matrix}\right.\qquad V=\{(1,\frac{-17}{13})\}\)