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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-4y=\frac{-11}{7}\\4x=-5y+\frac{264}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-4y=\frac{-79}{2}\\-5x=y+\frac{11}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-y=\frac{-19}{2}\\-5x=-5y+\frac{225}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{-5}{2}-x\\-3x-2y=\frac{-69}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-2y=15\\-6x=-6y+-36\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{724}{247}+4x\\-6x+y=\frac{-1514}{247}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{-126}{5}-4x\\4x-y=\frac{-81}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{-46}{5}-6x\\x+y=\frac{-3}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+2y=\frac{-99}{38}\\6x=y+\frac{-207}{38}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+2y=\frac{19}{12}\\x-5y=\frac{-59}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-6y=\frac{-125}{3}\\6x-2y=-12\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-6y=\frac{109}{16}\\3x=-y+\frac{47}{16}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-4y=\frac{-11}{7}\\4x=-5y+\frac{264}{7}\end{matrix}\right.\qquad V=\{(13,\frac{-20}{7})\}\)
2. \(\left\{\begin{matrix}4x-4y=\frac{-79}{2}\\-5x=y+\frac{11}{8}\end{matrix}\right.\qquad V=\{(\frac{-15}{8},8)\}\)
3. \(\left\{\begin{matrix}-6x-y=\frac{-19}{2}\\-5x=-5y+\frac{225}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},11)\}\)
4. \(\left\{\begin{matrix}-4y=\frac{-5}{2}-x\\-3x-2y=\frac{-69}{2}\end{matrix}\right.\qquad V=\{(\frac{19}{2},3)\}\)
5. \(\left\{\begin{matrix}-x-2y=15\\-6x=-6y+-36\end{matrix}\right.\qquad V=\{(-1,-7)\}\)
6. \(\left\{\begin{matrix}-6y=\frac{724}{247}+4x\\-6x+y=\frac{-1514}{247}\end{matrix}\right.\qquad V=\{(\frac{11}{13},\frac{-20}{19})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{-126}{5}-4x\\4x-y=\frac{-81}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},9)\}\)
8. \(\left\{\begin{matrix}5y=\frac{-46}{5}-6x\\x+y=\frac{-3}{2}\end{matrix}\right.\qquad V=\{(\frac{-17}{10},\frac{1}{5})\}\)
9. \(\left\{\begin{matrix}6x+2y=\frac{-99}{38}\\6x=y+\frac{-207}{38}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{18}{19})\}\)
10. \(\left\{\begin{matrix}-5x+2y=\frac{19}{12}\\x-5y=\frac{-59}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{12},1)\}\)
11. \(\left\{\begin{matrix}x-6y=\frac{-125}{3}\\6x-2y=-12\end{matrix}\right.\qquad V=\{(\frac{1}{3},7)\}\)
12. \(\left\{\begin{matrix}5x-6y=\frac{109}{16}\\3x=-y+\frac{47}{16}\end{matrix}\right.\qquad V=\{(\frac{17}{16},\frac{-1}{4})\}\)