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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-5y=\frac{67}{12}\\-3x-6y=\frac{73}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{78}{5}-2x\\-2x+y=\frac{127}{30}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+2y=\frac{310}{57}\\x-5y=\frac{-197}{171}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-6y=\frac{-961}{204}\\3x+2y=\frac{1}{68}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+y=\frac{653}{133}\\-3x+2y=\frac{47}{266}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+5y=2\\-2x=-y+-6\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+3y=\frac{189}{10}\\x=y+\frac{-31}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-3y=\frac{-396}{5}\\-4x=y+\frac{-372}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-5y=\frac{-762}{221}\\-3x=-y+\frac{-378}{221}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-6y=\frac{320}{13}\\3x-y=\frac{64}{39}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{-17}{2}+x\\-2x-3y=1\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{-11}{8}-4x\\-x+6y=\frac{-1}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-5y=\frac{67}{12}\\-3x-6y=\frac{73}{4}\end{matrix}\right.\qquad V=\{(\frac{-11}{4},\frac{-5}{3})\}\)
2. \(\left\{\begin{matrix}6y=\frac{78}{5}-2x\\-2x+y=\frac{127}{30}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{17}{6})\}\)
3. \(\left\{\begin{matrix}-6x+2y=\frac{310}{57}\\x-5y=\frac{-197}{171}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{1}{19})\}\)
4. \(\left\{\begin{matrix}-x-6y=\frac{-961}{204}\\3x+2y=\frac{1}{68}\end{matrix}\right.\qquad V=\{(\frac{-7}{12},\frac{15}{17})\}\)
5. \(\left\{\begin{matrix}6x+y=\frac{653}{133}\\-3x+2y=\frac{47}{266}\end{matrix}\right.\qquad V=\{(\frac{9}{14},\frac{20}{19})\}\)
6. \(\left\{\begin{matrix}6x+5y=2\\-2x=-y+-6\end{matrix}\right.\qquad V=\{(2,-2)\}\)
7. \(\left\{\begin{matrix}-2x+3y=\frac{189}{10}\\x=y+\frac{-31}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{13}{2})\}\)
8. \(\left\{\begin{matrix}-4x-3y=\frac{-396}{5}\\-4x=y+\frac{-372}{5}\end{matrix}\right.\qquad V=\{(18,\frac{12}{5})\}\)
9. \(\left\{\begin{matrix}2x-5y=\frac{-762}{221}\\-3x=-y+\frac{-378}{221}\end{matrix}\right.\qquad V=\{(\frac{12}{13},\frac{18}{17})\}\)
10. \(\left\{\begin{matrix}6x-6y=\frac{320}{13}\\3x-y=\frac{64}{39}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{-16}{3})\}\)
11. \(\left\{\begin{matrix}3y=\frac{-17}{2}+x\\-2x-3y=1\end{matrix}\right.\qquad V=\{(\frac{5}{2},-2)\}\)
12. \(\left\{\begin{matrix}-5y=\frac{-11}{8}-4x\\-x+6y=\frac{-1}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-1}{8})\}\)