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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{43}{12}+2x\\x+y=\frac{-43}{24}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-3y=\frac{-4}{5}\\-3x-4y=\frac{-133}{45}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{111}{8}+6x\\x+3y=\frac{-25}{8}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+5y=\frac{-17}{7}\\-4x=6y+\frac{46}{35}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+6y=\frac{-6}{7}\\-x+5y=\frac{-107}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-3y=\frac{-14}{15}\\-3x=-y+\frac{-713}{90}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+3y=\frac{422}{91}\\x=4y+\frac{-1006}{91}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=\frac{24}{55}-x\\-6x-6y=\frac{-234}{55}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-5y=\frac{-163}{18}\\x+3y=\frac{493}{90}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+y=\frac{-75}{17}\\5x-4y=\frac{-57}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{-26}{11}-4x\\-x+2y=\frac{5}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-3y=\frac{-1279}{323}\\5x-y=\frac{-823}{323}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{43}{12}+2x\\x+y=\frac{-43}{24}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-9}{8})\}\)
2. \(\left\{\begin{matrix}-x-3y=\frac{-4}{5}\\-3x-4y=\frac{-133}{45}\end{matrix}\right.\qquad V=\{(\frac{17}{15},\frac{-1}{9})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{111}{8}+6x\\x+3y=\frac{-25}{8}\end{matrix}\right.\qquad V=\{(-2,\frac{-3}{8})\}\)
4. \(\left\{\begin{matrix}x+5y=\frac{-17}{7}\\-4x=6y+\frac{46}{35}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{-3}{5})\}\)
5. \(\left\{\begin{matrix}6x+6y=\frac{-6}{7}\\-x+5y=\frac{-107}{7}\end{matrix}\right.\qquad V=\{(\frac{17}{7},\frac{-18}{7})\}\)
6. \(\left\{\begin{matrix}-4x-3y=\frac{-14}{15}\\-3x=-y+\frac{-713}{90}\end{matrix}\right.\qquad V=\{(\frac{19}{10},\frac{-20}{9})\}\)
7. \(\left\{\begin{matrix}4x+3y=\frac{422}{91}\\x=4y+\frac{-1006}{91}\end{matrix}\right.\qquad V=\{(\frac{-10}{13},\frac{18}{7})\}\)
8. \(\left\{\begin{matrix}4y=\frac{24}{55}-x\\-6x-6y=\frac{-234}{55}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-1}{11})\}\)
9. \(\left\{\begin{matrix}-2x-5y=\frac{-163}{18}\\x+3y=\frac{493}{90}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{19}{10})\}\)
10. \(\left\{\begin{matrix}4x+y=\frac{-75}{17}\\5x-4y=\frac{-57}{17}\end{matrix}\right.\qquad V=\{(-1,\frac{-7}{17})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{-26}{11}-4x\\-x+2y=\frac{5}{11}\end{matrix}\right.\qquad V=\{(-1,\frac{-3}{11})\}\)
12. \(\left\{\begin{matrix}5x-3y=\frac{-1279}{323}\\5x-y=\frac{-823}{323}\end{matrix}\right.\qquad V=\{(\frac{-7}{19},\frac{12}{17})\}\)