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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-2y=\frac{122}{21}\\x-y=\frac{79}{21}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{-162}{19}+4x\\x+5y=\frac{-496}{57}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x-2y=\frac{125}{34}\\x=-6y+\frac{-445}{102}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+2y=\frac{-37}{15}\\5x+y=\frac{-10}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{-13}{3}+x\\4x-4y=\frac{10}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-3y=11\\5x=-y+-3\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-5y=\frac{-689}{34}\\-x=-2y+\frac{134}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-6y=\frac{-265}{21}\\-x=-5y+\frac{433}{63}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-6y=\frac{437}{16}\\6x=y+\frac{39}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{-783}{272}-5x\\3x+6y=\frac{-189}{136}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{35}{2}+5x\\-x+4y=2\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-4y=\frac{-1}{10}\\-3x=-y+\frac{8}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-2y=\frac{122}{21}\\x-y=\frac{79}{21}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{-10}{3})\}\)
2. \(\left\{\begin{matrix}6y=\frac{-162}{19}+4x\\x+5y=\frac{-496}{57}\end{matrix}\right.\qquad V=\{(\frac{-7}{19},\frac{-5}{3})\}\)
3. \(\left\{\begin{matrix}-3x-2y=\frac{125}{34}\\x=-6y+\frac{-445}{102}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-10}{17})\}\)
4. \(\left\{\begin{matrix}4x+2y=\frac{-37}{15}\\5x+y=\frac{-10}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{1}{6})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{-13}{3}+x\\4x-4y=\frac{10}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{1}{2})\}\)
6. \(\left\{\begin{matrix}-5x-3y=11\\5x=-y+-3\end{matrix}\right.\qquad V=\{(\frac{1}{5},-4)\}\)
7. \(\left\{\begin{matrix}2x-5y=\frac{-689}{34}\\-x=-2y+\frac{134}{17}\end{matrix}\right.\qquad V=\{(\frac{19}{17},\frac{9}{2})\}\)
8. \(\left\{\begin{matrix}3x-6y=\frac{-265}{21}\\-x=-5y+\frac{433}{63}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},\frac{8}{9})\}\)
9. \(\left\{\begin{matrix}5x-6y=\frac{437}{16}\\6x=y+\frac{39}{8}\end{matrix}\right.\qquad V=\{(\frac{1}{16},\frac{-9}{2})\}\)
10. \(\left\{\begin{matrix}y=\frac{-783}{272}-5x\\3x+6y=\frac{-189}{136}\end{matrix}\right.\qquad V=\{(\frac{-10}{17},\frac{1}{16})\}\)
11. \(\left\{\begin{matrix}5y=\frac{35}{2}+5x\\-x+4y=2\end{matrix}\right.\qquad V=\{(-4,\frac{-1}{2})\}\)
12. \(\left\{\begin{matrix}3x-4y=\frac{-1}{10}\\-3x=-y+\frac{8}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{-1}{2})\}\)