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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{-133}{12}+5x\\2x+y=\frac{41}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{725}{39}+5x\\-x+4y=\frac{73}{39}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{-370}{11}+2x\\-4x-y=\frac{-284}{33}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3y=\frac{-64}{5}+2x\\-2x+y=\frac{8}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-y=\frac{23}{36}\\-2x=4y+\frac{-7}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{10}{3}-3x\\-4x-y=-2\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-2y=\frac{-13}{15}\\x=2y+\frac{-41}{30}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+y=\frac{1}{5}\\2x-6y=\frac{33}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+4y=\frac{35}{8}\\x=2y+\frac{-15}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+3y=\frac{-35}{11}\\-5x+y=\frac{469}{66}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-y=\frac{-274}{153}\\-3x=-2y+\frac{-649}{153}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-y=\frac{109}{34}\\-6x+3y=\frac{-87}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{-133}{12}+5x\\2x+y=\frac{41}{9}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{1}{18})\}\)
2. \(\left\{\begin{matrix}5y=\frac{725}{39}+5x\\-x+4y=\frac{73}{39}\end{matrix}\right.\qquad V=\{(\frac{-13}{3},\frac{-8}{13})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{-370}{11}+2x\\-4x-y=\frac{-284}{33}\end{matrix}\right.\qquad V=\{(\frac{9}{11},\frac{16}{3})\}\)
4. \(\left\{\begin{matrix}-3y=\frac{-64}{5}+2x\\-2x+y=\frac{8}{5}\end{matrix}\right.\qquad V=\{(1,\frac{18}{5})\}\)
5. \(\left\{\begin{matrix}x-y=\frac{23}{36}\\-2x=4y+\frac{-7}{9}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{-1}{12})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{10}{3}-3x\\-4x-y=-2\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-2}{3})\}\)
7. \(\left\{\begin{matrix}-2x-2y=\frac{-13}{15}\\x=2y+\frac{-41}{30}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{3}{5})\}\)
8. \(\left\{\begin{matrix}4x+y=\frac{1}{5}\\2x-6y=\frac{33}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{10},-1)\}\)
9. \(\left\{\begin{matrix}3x+4y=\frac{35}{8}\\x=2y+\frac{-15}{8}\end{matrix}\right.\qquad V=\{(\frac{1}{8},1)\}\)
10. \(\left\{\begin{matrix}6x+3y=\frac{-35}{11}\\-5x+y=\frac{469}{66}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{14}{11})\}\)
11. \(\left\{\begin{matrix}-2x-y=\frac{-274}{153}\\-3x=-2y+\frac{-649}{153}\end{matrix}\right.\qquad V=\{(\frac{19}{17},\frac{-4}{9})\}\)
12. \(\left\{\begin{matrix}5x-y=\frac{109}{34}\\-6x+3y=\frac{-87}{17}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-12}{17})\}\)