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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{11}{21}+x\\6x+6y=\frac{-23}{14}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+2y=\frac{7}{3}\\6x-y=\frac{5}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+5y=\frac{-100}{21}\\5x+y=\frac{163}{42}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-2y=12\\-x=4y+21\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+6y=\frac{-238}{57}\\x-5y=\frac{116}{57}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+2y=\frac{-48}{7}\\-x=y+\frac{9}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{41}{3}+6x\\-3x-y=\frac{31}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-4y=-25\\6x+4y=-87\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{-1153}{153}-x\\-4x+2y=\frac{1444}{153}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+6y=\frac{35}{8}\\-x+5y=\frac{193}{48}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{-111}{26}+2x\\x+5y=\frac{-141}{52}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-290}{247}-5x\\x+5y=\frac{774}{247}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{11}{21}+x\\6x+6y=\frac{-23}{14}\end{matrix}\right.\qquad V=\{(\frac{-5}{14},\frac{1}{12})\}\)
2. \(\left\{\begin{matrix}5x+2y=\frac{7}{3}\\6x-y=\frac{5}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{1}{3})\}\)
3. \(\left\{\begin{matrix}-4x+5y=\frac{-100}{21}\\5x+y=\frac{163}{42}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{-2}{7})\}\)
4. \(\left\{\begin{matrix}-2x-2y=12\\-x=4y+21\end{matrix}\right.\qquad V=\{(-1,-5)\}\)
5. \(\left\{\begin{matrix}4x+6y=\frac{-238}{57}\\x-5y=\frac{116}{57}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-9}{19})\}\)
6. \(\left\{\begin{matrix}-3x+2y=\frac{-48}{7}\\-x=y+\frac{9}{7}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{-15}{7})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{41}{3}+6x\\-3x-y=\frac{31}{6}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{-5}{3})\}\)
8. \(\left\{\begin{matrix}x-4y=-25\\6x+4y=-87\end{matrix}\right.\qquad V=\{(-16,\frac{9}{4})\}\)
9. \(\left\{\begin{matrix}-6y=\frac{-1153}{153}-x\\-4x+2y=\frac{1444}{153}\end{matrix}\right.\qquad V=\{(\frac{-17}{9},\frac{16}{17})\}\)
10. \(\left\{\begin{matrix}-2x+6y=\frac{35}{8}\\-x+5y=\frac{193}{48}\end{matrix}\right.\qquad V=\{(\frac{9}{16},\frac{11}{12})\}\)
11. \(\left\{\begin{matrix}4y=\frac{-111}{26}+2x\\x+5y=\frac{-141}{52}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-9}{13})\}\)
12. \(\left\{\begin{matrix}5y=\frac{-290}{247}-5x\\x+5y=\frac{774}{247}\end{matrix}\right.\qquad V=\{(\frac{-14}{13},\frac{16}{19})\}\)