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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{166}{7}+5x\\3x+y=\frac{-3}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-5y=\frac{211}{13}\\-x-2y=\frac{-30}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{41}{22}+6x\\x-2y=\frac{5}{44}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=15-6x\\3x-y=10\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{365}{39}+5x\\-x+y=\frac{323}{117}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{-121}{12}-3x\\2x-y=\frac{11}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-5y=\frac{263}{33}\\-3x-y=\frac{117}{55}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{13}{19}+3x\\5x+y=\frac{-463}{95}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+y=26\\3x-6y=-117\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+4y=\frac{-221}{20}\\-5x=5y+\frac{79}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-y=\frac{-17}{42}\\5x=-5y+\frac{-445}{126}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{233}{136}-2x\\4x+3y=\frac{33}{68}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{166}{7}+5x\\3x+y=\frac{-3}{7}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},3)\}\)
2. \(\left\{\begin{matrix}3x-5y=\frac{211}{13}\\-x-2y=\frac{-30}{13}\end{matrix}\right.\qquad V=\{(4,\frac{-11}{13})\}\)
3. \(\left\{\begin{matrix}-2y=\frac{41}{22}+6x\\x-2y=\frac{5}{44}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-2}{11})\}\)
4. \(\left\{\begin{matrix}3y=15-6x\\3x-y=10\end{matrix}\right.\qquad V=\{(3,-1)\}\)
5. \(\left\{\begin{matrix}3y=\frac{365}{39}+5x\\-x+y=\frac{323}{117}\end{matrix}\right.\qquad V=\{(\frac{-7}{13},\frac{20}{9})\}\)
6. \(\left\{\begin{matrix}4y=\frac{-121}{12}-3x\\2x-y=\frac{11}{2}\end{matrix}\right.\qquad V=\{(\frac{13}{12},\frac{-10}{3})\}\)
7. \(\left\{\begin{matrix}5x-5y=\frac{263}{33}\\-3x-y=\frac{117}{55}\end{matrix}\right.\qquad V=\{(\frac{-2}{15},\frac{-19}{11})\}\)
8. \(\left\{\begin{matrix}5y=\frac{13}{19}+3x\\5x+y=\frac{-463}{95}\end{matrix}\right.\qquad V=\{(\frac{-17}{19},\frac{-2}{5})\}\)
9. \(\left\{\begin{matrix}6x+y=26\\3x-6y=-117\end{matrix}\right.\qquad V=\{(1,20)\}\)
10. \(\left\{\begin{matrix}-x+4y=\frac{-221}{20}\\-5x=5y+\frac{79}{4}\end{matrix}\right.\qquad V=\{(\frac{-19}{20},-3)\}\)
11. \(\left\{\begin{matrix}3x-y=\frac{-17}{42}\\5x=-5y+\frac{-445}{126}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},\frac{-3}{7})\}\)
12. \(\left\{\begin{matrix}-y=\frac{233}{136}-2x\\4x+3y=\frac{33}{68}\end{matrix}\right.\qquad V=\{(\frac{9}{16},\frac{-10}{17})\}\)