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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+y=\frac{-5}{7}\\-2x+3y=\frac{5}{14}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{-25}{3}+4x\\6x+y=\frac{-22}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{8}{11}-6x\\-2x+4y=\frac{188}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+5y=\frac{104}{55}\\x=3y+\frac{247}{110}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{180}{133}+6x\\-x-2y=\frac{258}{133}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{-572}{19}+3x\\-4x+y=\frac{-759}{19}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+5y=-24\\-3x=y+21\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-y=\frac{-47}{15}\\-3x=2y+\frac{-77}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-y=\frac{-319}{52}\\5x=5y+\frac{-935}{52}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{-113}{18}-x\\3x+6y=\frac{43}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+2y=\frac{19}{26}\\5x-6y=\frac{-31}{26}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{-1}{2}-3x\\x-6y=\frac{-91}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+y=\frac{-5}{7}\\-2x+3y=\frac{5}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{2}{7})\}\)
2. \(\left\{\begin{matrix}5y=\frac{-25}{3}+4x\\6x+y=\frac{-22}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-7}{3})\}\)
3. \(\left\{\begin{matrix}y=\frac{8}{11}-6x\\-2x+4y=\frac{188}{11}\end{matrix}\right.\qquad V=\{(\frac{-6}{11},4)\}\)
4. \(\left\{\begin{matrix}-6x+5y=\frac{104}{55}\\x=3y+\frac{247}{110}\end{matrix}\right.\qquad V=\{(\frac{-13}{10},\frac{-13}{11})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{180}{133}+6x\\-x-2y=\frac{258}{133}\end{matrix}\right.\qquad V=\{(\frac{12}{19},\frac{-9}{7})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{-572}{19}+3x\\-4x+y=\frac{-759}{19}\end{matrix}\right.\qquad V=\{(10,\frac{1}{19})\}\)
7. \(\left\{\begin{matrix}-3x+5y=-24\\-3x=y+21\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{-15}{2})\}\)
8. \(\left\{\begin{matrix}-2x-y=\frac{-47}{15}\\-3x=2y+\frac{-77}{15}\end{matrix}\right.\qquad V=\{(\frac{17}{15},\frac{13}{15})\}\)
9. \(\left\{\begin{matrix}4x-y=\frac{-319}{52}\\5x=5y+\frac{-935}{52}\end{matrix}\right.\qquad V=\{(\frac{-11}{13},\frac{11}{4})\}\)
10. \(\left\{\begin{matrix}-4y=\frac{-113}{18}-x\\3x+6y=\frac{43}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{13}{9})\}\)
11. \(\left\{\begin{matrix}-x+2y=\frac{19}{26}\\5x-6y=\frac{-31}{26}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{8}{13})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{-1}{2}-3x\\x-6y=\frac{-91}{2}\end{matrix}\right.\qquad V=\{(\frac{11}{2},\frac{17}{2})\}\)