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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+6y=\frac{-299}{42}\\3x=4y+\frac{-79}{14}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-3y=\frac{-9}{4}\\x=y+\frac{-17}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+5y=\frac{-1061}{119}\\x-y=\frac{124}{119}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=-11-2x\\x+2y=\frac{13}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+4y=\frac{-113}{2}\\4x-y=15\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-3y=\frac{19}{4}\\-x-6y=\frac{1}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{367}{170}+4x\\-x+2y=\frac{181}{170}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{121}{7}+2x\\5x-y=\frac{39}{14}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+2y=\frac{-247}{63}\\-x-5y=\frac{563}{126}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+4y=\frac{359}{8}\\6x=y+\frac{-79}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-y=\frac{-82}{7}\\2x-5y=\frac{-194}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{125}{144}+2x\\-x+y=\frac{31}{144}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+6y=\frac{-299}{42}\\3x=4y+\frac{-79}{14}\end{matrix}\right.\qquad V=\{(\frac{-17}{6},\frac{-5}{7})\}\)
2. \(\left\{\begin{matrix}-2x-3y=\frac{-9}{4}\\x=y+\frac{-17}{6}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{19}{12})\}\)
3. \(\left\{\begin{matrix}2x+5y=\frac{-1061}{119}\\x-y=\frac{124}{119}\end{matrix}\right.\qquad V=\{(\frac{-9}{17},\frac{-11}{7})\}\)
4. \(\left\{\begin{matrix}-5y=-11-2x\\x+2y=\frac{13}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{9}{5})\}\)
5. \(\left\{\begin{matrix}-2x+4y=\frac{-113}{2}\\4x-y=15\end{matrix}\right.\qquad V=\{(\frac{1}{4},-14)\}\)
6. \(\left\{\begin{matrix}3x-3y=\frac{19}{4}\\-x-6y=\frac{1}{6}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-1}{4})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{367}{170}+4x\\-x+2y=\frac{181}{170}\end{matrix}\right.\qquad V=\{(\frac{-13}{17},\frac{3}{20})\}\)
8. \(\left\{\begin{matrix}5y=\frac{121}{7}+2x\\5x-y=\frac{39}{14}\end{matrix}\right.\qquad V=\{(\frac{19}{14},4)\}\)
9. \(\left\{\begin{matrix}-2x+2y=\frac{-247}{63}\\-x-5y=\frac{563}{126}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{-15}{14})\}\)
10. \(\left\{\begin{matrix}-3x+4y=\frac{359}{8}\\6x=y+\frac{-79}{4}\end{matrix}\right.\qquad V=\{(\frac{-13}{8},10)\}\)
11. \(\left\{\begin{matrix}-5x-y=\frac{-82}{7}\\2x-5y=\frac{-194}{7}\end{matrix}\right.\qquad V=\{(\frac{8}{7},6)\}\)
12. \(\left\{\begin{matrix}-5y=\frac{125}{144}+2x\\-x+y=\frac{31}{144}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},\frac{-1}{16})\}\)