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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-6y=\frac{291}{10}\\-x-y=\frac{53}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{-64}{13}-6x\\5x+y=\frac{-88}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{-97}{240}-2x\\x-3y=\frac{-161}{240}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+5y=\frac{1187}{26}\\x=-5y+\frac{1223}{26}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-2y=\frac{65}{17}\\5x=y+\frac{177}{34}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=\frac{-20}{7}-5x\\-x+5y=\frac{-8}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+y=\frac{86}{7}\\4x+2y=\frac{-178}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+5y=\frac{-75}{8}\\-x=y+\frac{13}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-y=\frac{-76}{35}\\-3x=-3y+\frac{291}{35}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{-1218}{209}-6x\\-x+2y=\frac{159}{209}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{-61}{12}-x\\-2x+3y=\frac{-47}{12}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-2y=\frac{13}{18}\\3x+y=\frac{7}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-6y=\frac{291}{10}\\-x-y=\frac{53}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},-5)\}\)
2. \(\left\{\begin{matrix}-2y=\frac{-64}{13}-6x\\5x+y=\frac{-88}{13}\end{matrix}\right.\qquad V=\{(\frac{-15}{13},-1)\}\)
3. \(\left\{\begin{matrix}-3y=\frac{-97}{240}-2x\\x-3y=\frac{-161}{240}\end{matrix}\right.\qquad V=\{(\frac{4}{15},\frac{5}{16})\}\)
4. \(\left\{\begin{matrix}4x+5y=\frac{1187}{26}\\x=-5y+\frac{1223}{26}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},\frac{19}{2})\}\)
5. \(\left\{\begin{matrix}3x-2y=\frac{65}{17}\\5x=y+\frac{177}{34}\end{matrix}\right.\qquad V=\{(\frac{16}{17},\frac{-1}{2})\}\)
6. \(\left\{\begin{matrix}5y=\frac{-20}{7}-5x\\-x+5y=\frac{-8}{7}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{-2}{7})\}\)
7. \(\left\{\begin{matrix}-3x+y=\frac{86}{7}\\4x+2y=\frac{-178}{7}\end{matrix}\right.\qquad V=\{(-5,\frac{-19}{7})\}\)
8. \(\left\{\begin{matrix}6x+5y=\frac{-75}{8}\\-x=y+\frac{13}{8}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{-3}{8})\}\)
9. \(\left\{\begin{matrix}-2x-y=\frac{-76}{35}\\-3x=-3y+\frac{291}{35}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{18}{7})\}\)
10. \(\left\{\begin{matrix}-6y=\frac{-1218}{209}-6x\\-x+2y=\frac{159}{209}\end{matrix}\right.\qquad V=\{(\frac{-13}{11},\frac{-4}{19})\}\)
11. \(\left\{\begin{matrix}5y=\frac{-61}{12}-x\\-2x+3y=\frac{-47}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-13}{12})\}\)
12. \(\left\{\begin{matrix}-2x-2y=\frac{13}{18}\\3x+y=\frac{7}{4}\end{matrix}\right.\qquad V=\{(\frac{19}{18},\frac{-17}{12})\}\)