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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-6y=\frac{-1281}{136}\\2x-y=\frac{67}{136}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{47}{30}+x\\-3x+3y=\frac{27}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+5y=\frac{7}{2}\\-x=3y+\frac{-241}{60}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+6y=\frac{51}{10}\\6x=-y+\frac{127}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-3y=\frac{64}{35}\\4x=4y+\frac{312}{35}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{25}{6}+4x\\x-y=\frac{7}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+4y=30\\-6x+y=13\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{-43}{3}-5x\\x+4y=\frac{-95}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{111}{5}+2x\\-3x+y=\frac{363}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-5y=\frac{561}{8}\\-4x-y=\frac{381}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-5y=\frac{-920}{17}\\-x-6y=\frac{290}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+5y=\frac{-5}{3}\\-2x+2y=\frac{38}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-6y=\frac{-1281}{136}\\2x-y=\frac{67}{136}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{15}{17})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{47}{30}+x\\-3x+3y=\frac{27}{10}\end{matrix}\right.\qquad V=\{(\frac{-16}{15},\frac{-1}{6})\}\)
3. \(\left\{\begin{matrix}-6x+5y=\frac{7}{2}\\-x=3y+\frac{-241}{60}\end{matrix}\right.\qquad V=\{(\frac{5}{12},\frac{6}{5})\}\)
4. \(\left\{\begin{matrix}3x+6y=\frac{51}{10}\\6x=-y+\frac{127}{20}\end{matrix}\right.\qquad V=\{(1,\frac{7}{20})\}\)
5. \(\left\{\begin{matrix}x-3y=\frac{64}{35}\\4x=4y+\frac{312}{35}\end{matrix}\right.\qquad V=\{(\frac{17}{7},\frac{1}{5})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{25}{6}+4x\\x-y=\frac{7}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{-3}{2})\}\)
7. \(\left\{\begin{matrix}-2x+4y=30\\-6x+y=13\end{matrix}\right.\qquad V=\{(-1,7)\}\)
8. \(\left\{\begin{matrix}2y=\frac{-43}{3}-5x\\x+4y=\frac{-95}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{3},-8)\}\)
9. \(\left\{\begin{matrix}-6y=\frac{111}{5}+2x\\-3x+y=\frac{363}{10}\end{matrix}\right.\qquad V=\{(-12,\frac{3}{10})\}\)
10. \(\left\{\begin{matrix}-6x-5y=\frac{561}{8}\\-4x-y=\frac{381}{8}\end{matrix}\right.\qquad V=\{(-12,\frac{3}{8})\}\)
11. \(\left\{\begin{matrix}6x-5y=\frac{-920}{17}\\-x-6y=\frac{290}{17}\end{matrix}\right.\qquad V=\{(-10,\frac{-20}{17})\}\)
12. \(\left\{\begin{matrix}-x+5y=\frac{-5}{3}\\-2x+2y=\frac{38}{15}\end{matrix}\right.\qquad V=\{(-2,\frac{-11}{15})\}\)