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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+5y=\frac{-2101}{323}\\-3x-y=\frac{-469}{323}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-5y=\frac{-89}{9}\\4x=-y+\frac{-29}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=-7+2x\\x-4y=\frac{15}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+3y=\frac{-117}{2}\\x=-4y+-33\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{51}{35}-4x\\3x+5y=\frac{51}{14}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{-27}{14}-5x\\x-y=\frac{3}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+5y=\frac{175}{18}\\x=6y+\frac{-47}{12}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+3y=\frac{-3}{5}\\-4x-y=\frac{28}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{25}{7}-5x\\x-5y=\frac{-4}{35}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+6y=\frac{-376}{95}\\x=4y+\frac{238}{95}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+2y=65\\2x+y=\frac{47}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-y=\frac{-51}{209}\\-2x+2y=\frac{292}{209}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+5y=\frac{-2101}{323}\\-3x-y=\frac{-469}{323}\end{matrix}\right.\qquad V=\{(\frac{13}{17},\frac{-16}{19})\}\)
2. \(\left\{\begin{matrix}6x-5y=\frac{-89}{9}\\4x=-y+\frac{-29}{9}\end{matrix}\right.\qquad V=\{(-1,\frac{7}{9})\}\)
3. \(\left\{\begin{matrix}4y=-7+2x\\x-4y=\frac{15}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},-2)\}\)
4. \(\left\{\begin{matrix}-6x+3y=\frac{-117}{2}\\x=-4y+-33\end{matrix}\right.\qquad V=\{(5,\frac{-19}{2})\}\)
5. \(\left\{\begin{matrix}y=\frac{51}{35}-4x\\3x+5y=\frac{51}{14}\end{matrix}\right.\qquad V=\{(\frac{3}{14},\frac{3}{5})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{-27}{14}-5x\\x-y=\frac{3}{14}\end{matrix}\right.\qquad V=\{(\frac{-11}{14},-1)\}\)
7. \(\left\{\begin{matrix}-6x+5y=\frac{175}{18}\\x=6y+\frac{-47}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{4}{9})\}\)
8. \(\left\{\begin{matrix}2x+3y=\frac{-3}{5}\\-4x-y=\frac{28}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{2}{15})\}\)
9. \(\left\{\begin{matrix}4y=\frac{25}{7}-5x\\x-5y=\frac{-4}{35}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{1}{7})\}\)
10. \(\left\{\begin{matrix}-2x+6y=\frac{-376}{95}\\x=4y+\frac{238}{95}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-10}{19})\}\)
11. \(\left\{\begin{matrix}6x+2y=65\\2x+y=\frac{47}{2}\end{matrix}\right.\qquad V=\{(9,\frac{11}{2})\}\)
12. \(\left\{\begin{matrix}6x-y=\frac{-51}{209}\\-2x+2y=\frac{292}{209}\end{matrix}\right.\qquad V=\{(\frac{1}{11},\frac{15}{19})\}\)