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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{-47}{19}-3x\\3x-y=\frac{10}{19}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-4y=\frac{34}{3}\\x-6y=6\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x-3y=\frac{21}{8}\\-6x+y=\frac{-1}{16}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3y=21-4x\\-3x-y=\frac{15}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+6y=\frac{68}{13}\\-x-2y=\frac{-55}{39}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{-97}{4}-x\\6x+6y=\frac{45}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{-109}{28}+x\\-2x+4y=\frac{-41}{21}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-6y=\frac{-268}{55}\\x=4y+\frac{-448}{165}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-y=\frac{53}{9}\\6x=-5y+-17\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-y=\frac{-5}{8}\\2x=-6y+\frac{19}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-5y=\frac{-143}{36}\\-5x-5y=\frac{-247}{36}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+4y=\frac{101}{18}\\-4x+5y=\frac{37}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{-47}{19}-3x\\3x-y=\frac{10}{19}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},-1)\}\)
2. \(\left\{\begin{matrix}-3x-4y=\frac{34}{3}\\x-6y=6\end{matrix}\right.\qquad V=\{(-2,\frac{-4}{3})\}\)
3. \(\left\{\begin{matrix}5x-3y=\frac{21}{8}\\-6x+y=\frac{-1}{16}\end{matrix}\right.\qquad V=\{(\frac{-3}{16},\frac{-19}{16})\}\)
4. \(\left\{\begin{matrix}-3y=21-4x\\-3x-y=\frac{15}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},-6)\}\)
5. \(\left\{\begin{matrix}6x+6y=\frac{68}{13}\\-x-2y=\frac{-55}{39}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{7}{13})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{-97}{4}-x\\6x+6y=\frac{45}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},4)\}\)
7. \(\left\{\begin{matrix}-3y=\frac{-109}{28}+x\\-2x+4y=\frac{-41}{21}\end{matrix}\right.\qquad V=\{(\frac{15}{7},\frac{7}{12})\}\)
8. \(\left\{\begin{matrix}3x-6y=\frac{-268}{55}\\x=4y+\frac{-448}{165}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{6}{11})\}\)
9. \(\left\{\begin{matrix}-4x-y=\frac{53}{9}\\6x=-5y+-17\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{-7}{3})\}\)
10. \(\left\{\begin{matrix}-x-y=\frac{-5}{8}\\2x=-6y+\frac{19}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{7}{8})\}\)
11. \(\left\{\begin{matrix}-x-5y=\frac{-143}{36}\\-5x-5y=\frac{-247}{36}\end{matrix}\right.\qquad V=\{(\frac{13}{18},\frac{13}{20})\}\)
12. \(\left\{\begin{matrix}x+4y=\frac{101}{18}\\-4x+5y=\frac{37}{18}\end{matrix}\right.\qquad V=\{(\frac{17}{18},\frac{7}{6})\}\)