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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-2y=\frac{129}{7}\\-x-5y=\frac{407}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-y=\frac{12}{5}\\2x+5y=\frac{-69}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{-31}{12}+5x\\-x-4y=\frac{25}{12}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-4y=\frac{-21}{2}\\-2x=-y+\frac{27}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+y=\frac{-80}{51}\\2x=4y+\frac{184}{51}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+5y=\frac{-25}{8}\\3x-4y=\frac{23}{40}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-6y=\frac{-53}{3}\\x+5y=\frac{109}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-5y=\frac{41}{13}\\5x=-6y+\frac{-148}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x-6y=\frac{-1239}{130}\\-x-4y=\frac{-787}{130}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{34}{3}+4x\\5x+6y=\frac{-177}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-6y=\frac{289}{21}\\3x+y=\frac{-559}{126}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+2y=\frac{749}{247}\\4x+3y=\frac{1286}{247}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-2y=\frac{129}{7}\\-x-5y=\frac{407}{7}\end{matrix}\right.\qquad V=\{(\frac{13}{7},-12)\}\)
2. \(\left\{\begin{matrix}3x-y=\frac{12}{5}\\2x+5y=\frac{-69}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{-3}{2})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{-31}{12}+5x\\-x-4y=\frac{25}{12}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{-13}{16})\}\)
4. \(\left\{\begin{matrix}6x-4y=\frac{-21}{2}\\-2x=-y+\frac{27}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{20},\frac{12}{5})\}\)
5. \(\left\{\begin{matrix}-x+y=\frac{-80}{51}\\2x=4y+\frac{184}{51}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-4}{17})\}\)
6. \(\left\{\begin{matrix}-x+5y=\frac{-25}{8}\\3x-4y=\frac{23}{40}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{-4}{5})\}\)
7. \(\left\{\begin{matrix}5x-6y=\frac{-53}{3}\\x+5y=\frac{109}{6}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{7}{2})\}\)
8. \(\left\{\begin{matrix}-x-5y=\frac{41}{13}\\5x=-6y+\frac{-148}{13}\end{matrix}\right.\qquad V=\{(-2,\frac{-3}{13})\}\)
9. \(\left\{\begin{matrix}3x-6y=\frac{-1239}{130}\\-x-4y=\frac{-787}{130}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{20}{13})\}\)
10. \(\left\{\begin{matrix}-y=\frac{34}{3}+4x\\5x+6y=\frac{-177}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{-19}{3})\}\)
11. \(\left\{\begin{matrix}-6x-6y=\frac{289}{21}\\3x+y=\frac{-559}{126}\end{matrix}\right.\qquad V=\{(\frac{-15}{14},\frac{-11}{9})\}\)
12. \(\left\{\begin{matrix}x+2y=\frac{749}{247}\\4x+3y=\frac{1286}{247}\end{matrix}\right.\qquad V=\{(\frac{5}{19},\frac{18}{13})\}\)