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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-2y=\frac{-233}{240}\\x=y+\frac{-19}{240}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-6y=\frac{-71}{10}\\-x-3y=\frac{-79}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-422}{9}+4x\\-4x+y=\frac{-98}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+6y=\frac{200}{13}\\x=-5y+\frac{2}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+6y=\frac{91}{10}\\-x-2y=\frac{59}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-5y=\frac{125}{12}\\x=-5y+\frac{-5}{12}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+2y=\frac{45}{2}\\-x=-3y+\frac{43}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{-304}{11}-4x\\-2x+y=\frac{201}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+2y=\frac{-252}{11}\\-x=-5y+\frac{-350}{33}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+5y=\frac{66}{17}\\-x-3y=\frac{-77}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+5y=\frac{23}{4}\\-x=3y+\frac{23}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{194}{35}+5x\\x+y=\frac{118}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-2y=\frac{-233}{240}\\x=y+\frac{-19}{240}\end{matrix}\right.\qquad V=\{(\frac{-13}{16},\frac{-11}{15})\}\)
2. \(\left\{\begin{matrix}2x-6y=\frac{-71}{10}\\-x-3y=\frac{-79}{20}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{5}{4})\}\)
3. \(\left\{\begin{matrix}3y=\frac{-422}{9}+4x\\-4x+y=\frac{-98}{9}\end{matrix}\right.\qquad V=\{(\frac{-16}{9},-18)\}\)
4. \(\left\{\begin{matrix}5x+6y=\frac{200}{13}\\x=-5y+\frac{2}{13}\end{matrix}\right.\qquad V=\{(4,\frac{-10}{13})\}\)
5. \(\left\{\begin{matrix}-6x+6y=\frac{91}{10}\\-x-2y=\frac{59}{30}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-3}{20})\}\)
6. \(\left\{\begin{matrix}5x-5y=\frac{125}{12}\\x=-5y+\frac{-5}{12}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-5}{12})\}\)
7. \(\left\{\begin{matrix}-3x+2y=\frac{45}{2}\\-x=-3y+\frac{43}{2}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},6)\}\)
8. \(\left\{\begin{matrix}5y=\frac{-304}{11}-4x\\-2x+y=\frac{201}{11}\end{matrix}\right.\qquad V=\{(\frac{-17}{2},\frac{14}{11})\}\)
9. \(\left\{\begin{matrix}-6x+2y=\frac{-252}{11}\\-x=-5y+\frac{-350}{33}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{-16}{11})\}\)
10. \(\left\{\begin{matrix}-2x+5y=\frac{66}{17}\\-x-3y=\frac{-77}{17}\end{matrix}\right.\qquad V=\{(1,\frac{20}{17})\}\)
11. \(\left\{\begin{matrix}-6x+5y=\frac{23}{4}\\-x=3y+\frac{23}{8}\end{matrix}\right.\qquad V=\{(\frac{-11}{8},\frac{-1}{2})\}\)
12. \(\left\{\begin{matrix}3y=\frac{194}{35}+5x\\x+y=\frac{118}{35}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{14}{5})\}\)