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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-5y=\frac{385}{152}\\x-3y=\frac{307}{152}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+3y=\frac{-927}{70}\\x+y=\frac{-261}{140}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-4y=\frac{86}{5}\\-x-y=\frac{89}{30}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-4y=\frac{634}{209}\\-x=6y+\frac{-493}{209}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{-139}{34}+5x\\4x+6y=\frac{516}{85}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{-372}{209}+x\\6x-5y=\frac{-1758}{209}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-6y=\frac{26}{3}\\-3x-y=-3\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+3y=\frac{37}{13}\\2x+y=\frac{15}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+2y=\frac{109}{30}\\-x=6y+\frac{-199}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{157}{90}-6x\\2x+2y=\frac{137}{45}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{53}{4}-6x\\-2x-4y=-9\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+2y=\frac{403}{90}\\-2x-y=\frac{-121}{45}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-5y=\frac{385}{152}\\x-3y=\frac{307}{152}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{-12}{19})\}\)
2. \(\left\{\begin{matrix}-6x+3y=\frac{-927}{70}\\x+y=\frac{-261}{140}\end{matrix}\right.\qquad V=\{(\frac{17}{20},\frac{-19}{7})\}\)
3. \(\left\{\begin{matrix}-6x-4y=\frac{86}{5}\\-x-y=\frac{89}{30}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{-3}{10})\}\)
4. \(\left\{\begin{matrix}2x-4y=\frac{634}{209}\\-x=6y+\frac{-493}{209}\end{matrix}\right.\qquad V=\{(\frac{19}{11},\frac{2}{19})\}\)
5. \(\left\{\begin{matrix}y=\frac{-139}{34}+5x\\4x+6y=\frac{516}{85}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{7}{17})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{-372}{209}+x\\6x-5y=\frac{-1758}{209}\end{matrix}\right.\qquad V=\{(\frac{-18}{19},\frac{6}{11})\}\)
7. \(\left\{\begin{matrix}2x-6y=\frac{26}{3}\\-3x-y=-3\end{matrix}\right.\qquad V=\{(\frac{4}{3},-1)\}\)
8. \(\left\{\begin{matrix}2x+3y=\frac{37}{13}\\2x+y=\frac{15}{13}\end{matrix}\right.\qquad V=\{(\frac{2}{13},\frac{11}{13})\}\)
9. \(\left\{\begin{matrix}-6x+2y=\frac{109}{30}\\-x=6y+\frac{-199}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},\frac{5}{3})\}\)
10. \(\left\{\begin{matrix}-y=\frac{157}{90}-6x\\2x+2y=\frac{137}{45}\end{matrix}\right.\qquad V=\{(\frac{7}{15},\frac{19}{18})\}\)
11. \(\left\{\begin{matrix}y=\frac{53}{4}-6x\\-2x-4y=-9\end{matrix}\right.\qquad V=\{(2,\frac{5}{4})\}\)
12. \(\left\{\begin{matrix}3x+2y=\frac{403}{90}\\-2x-y=\frac{-121}{45}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{8}{9})\}\)