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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{-31}{5}+3x\\-x+y=\frac{1}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-y=\frac{-167}{40}\\-5x=-3y+\frac{-129}{40}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{82}{95}-2x\\5x-y=\frac{-99}{95}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{47}{52}+x\\6x-6y=\frac{-621}{26}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+3y=\frac{-62}{7}\\-x-5y=\frac{151}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{71}{14}-x\\-2x+6y=\frac{-41}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{-68}{7}-6x\\-x+5y=\frac{-136}{21}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-154}{65}+6x\\-3x+y=\frac{-157}{65}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{6}{7}-x\\3x+2y=\frac{148}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{3}{2}+2x\\-x-y=\frac{29}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{173}{152}+x\\-3x-3y=\frac{-1191}{152}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+y=\frac{222}{19}\\6x-5y=\frac{-1218}{95}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{-31}{5}+3x\\-x+y=\frac{1}{3}\end{matrix}\right.\qquad V=\{(\frac{7}{15},\frac{4}{5})\}\)
2. \(\left\{\begin{matrix}-3x-y=\frac{-167}{40}\\-5x=-3y+\frac{-129}{40}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{4}{5})\}\)
3. \(\left\{\begin{matrix}-2y=\frac{82}{95}-2x\\5x-y=\frac{-99}{95}\end{matrix}\right.\qquad V=\{(\frac{-7}{19},\frac{-4}{5})\}\)
4. \(\left\{\begin{matrix}5y=\frac{47}{52}+x\\6x-6y=\frac{-621}{26}\end{matrix}\right.\qquad V=\{(\frac{-19}{4},\frac{-10}{13})\}\)
5. \(\left\{\begin{matrix}-2x+3y=\frac{-62}{7}\\-x-5y=\frac{151}{7}\end{matrix}\right.\qquad V=\{(\frac{-11}{7},-4)\}\)
6. \(\left\{\begin{matrix}-6y=\frac{71}{14}-x\\-2x+6y=\frac{-41}{7}\end{matrix}\right.\qquad V=\{(\frac{11}{14},\frac{-5}{7})\}\)
7. \(\left\{\begin{matrix}4y=\frac{-68}{7}-6x\\-x+5y=\frac{-136}{21}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-10}{7})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-154}{65}+6x\\-3x+y=\frac{-157}{65}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{-8}{13})\}\)
9. \(\left\{\begin{matrix}5y=\frac{6}{7}-x\\3x+2y=\frac{148}{7}\end{matrix}\right.\qquad V=\{(8,\frac{-10}{7})\}\)
10. \(\left\{\begin{matrix}6y=\frac{3}{2}+2x\\-x-y=\frac{29}{12}\end{matrix}\right.\qquad V=\{(-2,\frac{-5}{12})\}\)
11. \(\left\{\begin{matrix}y=\frac{173}{152}+x\\-3x-3y=\frac{-1191}{152}\end{matrix}\right.\qquad V=\{(\frac{14}{19},\frac{15}{8})\}\)
12. \(\left\{\begin{matrix}-5x+y=\frac{222}{19}\\6x-5y=\frac{-1218}{95}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{-6}{19})\}\)