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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-5y=\frac{-35}{3}\\5x=-y+\frac{217}{45}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{124}{11}-5x\\-6x-3y=\frac{-90}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+y=\frac{85}{9}\\-6x-4y=\frac{290}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-2y=\frac{44}{35}\\-x=-3y+\frac{-136}{35}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+3y=\frac{-102}{13}\\x=-5y+\frac{-60}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-2y=\frac{-29}{5}\\x-6y=\frac{-23}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+3y=\frac{-239}{114}\\-6x=-4y+\frac{63}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+y=-2\\-6x+2y=\frac{8}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{52}{5}-2x\\-x-4y=\frac{283}{60}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{619}{143}+3x\\x-2y=\frac{76}{143}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{-93}{17}+5x\\5x-y=\frac{-69}{34}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-4y=\frac{101}{76}\\6x-6y=\frac{-309}{38}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-5y=\frac{-35}{3}\\5x=-y+\frac{217}{45}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{13}{5})\}\)
2. \(\left\{\begin{matrix}-y=\frac{124}{11}-5x\\-6x-3y=\frac{-90}{11}\end{matrix}\right.\qquad V=\{(2,\frac{-14}{11})\}\)
3. \(\left\{\begin{matrix}-2x+y=\frac{85}{9}\\-6x-4y=\frac{290}{9}\end{matrix}\right.\qquad V=\{(-5,\frac{-5}{9})\}\)
4. \(\left\{\begin{matrix}4x-2y=\frac{44}{35}\\-x=-3y+\frac{-136}{35}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-10}{7})\}\)
5. \(\left\{\begin{matrix}5x+3y=\frac{-102}{13}\\x=-5y+\frac{-60}{13}\end{matrix}\right.\qquad V=\{(\frac{-15}{13},\frac{-9}{13})\}\)
6. \(\left\{\begin{matrix}-5x-2y=\frac{-29}{5}\\x-6y=\frac{-23}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{9}{10})\}\)
7. \(\left\{\begin{matrix}x+3y=\frac{-239}{114}\\-6x=-4y+\frac{63}{19}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-8}{19})\}\)
8. \(\left\{\begin{matrix}2x+y=-2\\-6x+2y=\frac{8}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-2}{3})\}\)
9. \(\left\{\begin{matrix}-6y=\frac{52}{5}-2x\\-x-4y=\frac{283}{60}\end{matrix}\right.\qquad V=\{(\frac{19}{20},\frac{-17}{12})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{619}{143}+3x\\x-2y=\frac{76}{143}\end{matrix}\right.\qquad V=\{(\frac{-6}{11},\frac{-7}{13})\}\)
11. \(\left\{\begin{matrix}6y=\frac{-93}{17}+5x\\5x-y=\frac{-69}{34}\end{matrix}\right.\qquad V=\{(\frac{-12}{17},\frac{-3}{2})\}\)
12. \(\left\{\begin{matrix}x-4y=\frac{101}{76}\\6x-6y=\frac{-309}{38}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{-17}{19})\}\)