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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{135}{91}-2x\\6x-2y=\frac{340}{91}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+3y=\frac{161}{12}\\x+4y=\frac{217}{72}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-y=\frac{3}{5}\\5x-5y=21\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+5y=\frac{-347}{4}\\-x+2y=\frac{-301}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+6y=\frac{95}{6}\\x-6y=\frac{-35}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-6y=\frac{-321}{17}\\-x-6y=\frac{-117}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-y=\frac{-151}{77}\\2x=4y+\frac{26}{77}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{4}{15}+x\\3x-3y=\frac{-4}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+4y=\frac{-164}{21}\\-3x-6y=\frac{110}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-3y=\frac{-67}{12}\\-x-y=\frac{-161}{72}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{25}{6}+x\\-2x+5y=\frac{-1}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{-385}{68}+x\\-5x-3y=\frac{77}{136}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{135}{91}-2x\\6x-2y=\frac{340}{91}\end{matrix}\right.\qquad V=\{(\frac{5}{13},\frac{-5}{7})\}\)
2. \(\left\{\begin{matrix}6x+3y=\frac{161}{12}\\x+4y=\frac{217}{72}\end{matrix}\right.\qquad V=\{(\frac{17}{8},\frac{2}{9})\}\)
3. \(\left\{\begin{matrix}3x-y=\frac{3}{5}\\5x-5y=21\end{matrix}\right.\qquad V=\{(\frac{-9}{5},-6)\}\)
4. \(\left\{\begin{matrix}2x+5y=\frac{-347}{4}\\-x+2y=\frac{-301}{8}\end{matrix}\right.\qquad V=\{(\frac{13}{8},-18)\}\)
5. \(\left\{\begin{matrix}5x+6y=\frac{95}{6}\\x-6y=\frac{-35}{6}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{5}{4})\}\)
6. \(\left\{\begin{matrix}-5x-6y=\frac{-321}{17}\\-x-6y=\frac{-117}{17}\end{matrix}\right.\qquad V=\{(3,\frac{11}{17})\}\)
7. \(\left\{\begin{matrix}-4x-y=\frac{-151}{77}\\2x=4y+\frac{26}{77}\end{matrix}\right.\qquad V=\{(\frac{5}{11},\frac{1}{7})\}\)
8. \(\left\{\begin{matrix}y=\frac{4}{15}+x\\3x-3y=\frac{-4}{5}\end{matrix}\right.\qquad V=\{(\frac{11}{15},1)\}\)
9. \(\left\{\begin{matrix}x+4y=\frac{-164}{21}\\-3x-6y=\frac{110}{7}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{-9}{7})\}\)
10. \(\left\{\begin{matrix}-2x-3y=\frac{-67}{12}\\-x-y=\frac{-161}{72}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{10}{9})\}\)
11. \(\left\{\begin{matrix}5y=\frac{25}{6}+x\\-2x+5y=\frac{-1}{6}\end{matrix}\right.\qquad V=\{(\frac{13}{3},\frac{17}{10})\}\)
12. \(\left\{\begin{matrix}6y=\frac{-385}{68}+x\\-5x-3y=\frac{77}{136}\end{matrix}\right.\qquad V=\{(\frac{7}{17},\frac{-7}{8})\}\)