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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-5y=\frac{7}{4}\\4x=3y+\frac{91}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{-65}{19}-2x\\4x+y=\frac{265}{114}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-5y=\frac{-1380}{91}\\x-5y=\frac{-1205}{91}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-3y=\frac{53}{17}\\6x=3y+\frac{108}{17}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{53}{4}-5x\\-x+y=\frac{11}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+6y=\frac{53}{5}\\-5x+4y=\frac{7}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{55}{3}+3x\\-2x-y=\frac{127}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+4y=\frac{-394}{55}\\-x-y=\frac{197}{110}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+y=\frac{259}{152}\\3x+4y=\frac{865}{152}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+5y=\frac{65}{6}\\-5x-y=\frac{149}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{409}{35}+3x\\-2x-y=\frac{121}{35}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{306}{95}+4x\\-2x-y=\frac{153}{95}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-5y=\frac{7}{4}\\4x=3y+\frac{91}{10}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{-7}{10})\}\)
2. \(\left\{\begin{matrix}6y=\frac{-65}{19}-2x\\4x+y=\frac{265}{114}\end{matrix}\right.\qquad V=\{(\frac{15}{19},\frac{-5}{6})\}\)
3. \(\left\{\begin{matrix}6x-5y=\frac{-1380}{91}\\x-5y=\frac{-1205}{91}\end{matrix}\right.\qquad V=\{(\frac{-5}{13},\frac{18}{7})\}\)
4. \(\left\{\begin{matrix}x-3y=\frac{53}{17}\\6x=3y+\frac{108}{17}\end{matrix}\right.\qquad V=\{(\frac{11}{17},\frac{-14}{17})\}\)
5. \(\left\{\begin{matrix}4y=\frac{53}{4}-5x\\-x+y=\frac{11}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{4},3)\}\)
6. \(\left\{\begin{matrix}x+6y=\frac{53}{5}\\-5x+4y=\frac{7}{5}\end{matrix}\right.\qquad V=\{(1,\frac{8}{5})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{55}{3}+3x\\-2x-y=\frac{127}{9}\end{matrix}\right.\qquad V=\{(-8,\frac{17}{9})\}\)
8. \(\left\{\begin{matrix}4x+4y=\frac{-394}{55}\\-x-y=\frac{197}{110}\end{matrix}\right.\qquad V=\{(\frac{-12}{11},\frac{-7}{10})\}\)
9. \(\left\{\begin{matrix}x+y=\frac{259}{152}\\3x+4y=\frac{865}{152}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{11}{19})\}\)
10. \(\left\{\begin{matrix}-2x+5y=\frac{65}{6}\\-5x-y=\frac{149}{6}\end{matrix}\right.\qquad V=\{(-5,\frac{1}{6})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{409}{35}+3x\\-2x-y=\frac{121}{35}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-13}{7})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{306}{95}+4x\\-2x-y=\frac{153}{95}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{15}{19})\}\)