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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+5y=\frac{5}{12}\\6x+y=\frac{-85}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-5y=\frac{-149}{18}\\x=-4y+\frac{26}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{67}{18}-x\\-3x+5y=\frac{61}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=-12+6x\\x+y=\frac{4}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+y=\frac{-253}{15}\\3x=-2y+\frac{-182}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-2y=\frac{64}{9}\\3x=-y+-4\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{79}{20}+3x\\x-y=\frac{-47}{60}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-2y=\frac{386}{21}\\6x-y=\frac{-47}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+y=\frac{-162}{35}\\-5x=-6y+\frac{-402}{35}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{2}{13}+2x\\x+5y=\frac{101}{39}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-6y=\frac{46}{3}\\-2x=-y+\frac{-11}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-3y=\frac{4}{11}\\x+2y=\frac{-26}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+5y=\frac{5}{12}\\6x+y=\frac{-85}{4}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-5}{4})\}\)
2. \(\left\{\begin{matrix}4x-5y=\frac{-149}{18}\\x=-4y+\frac{26}{9}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{17}{18})\}\)
3. \(\left\{\begin{matrix}4y=\frac{67}{18}-x\\-3x+5y=\frac{61}{9}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{19}{18})\}\)
4. \(\left\{\begin{matrix}-4y=-12+6x\\x+y=\frac{4}{3}\end{matrix}\right.\qquad V=\{(\frac{10}{3},-2)\}\)
5. \(\left\{\begin{matrix}4x+y=\frac{-253}{15}\\3x=-2y+\frac{-182}{5}\end{matrix}\right.\qquad V=\{(\frac{8}{15},-19)\}\)
6. \(\left\{\begin{matrix}-5x-2y=\frac{64}{9}\\3x=-y+-4\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{-4}{3})\}\)
7. \(\left\{\begin{matrix}6y=\frac{79}{20}+3x\\x-y=\frac{-47}{60}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{8}{15})\}\)
8. \(\left\{\begin{matrix}-4x-2y=\frac{386}{21}\\6x-y=\frac{-47}{21}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-19}{3})\}\)
9. \(\left\{\begin{matrix}-4x+y=\frac{-162}{35}\\-5x=-6y+\frac{-402}{35}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{-6}{5})\}\)
10. \(\left\{\begin{matrix}6y=\frac{2}{13}+2x\\x+5y=\frac{101}{39}\end{matrix}\right.\qquad V=\{(\frac{12}{13},\frac{1}{3})\}\)
11. \(\left\{\begin{matrix}2x-6y=\frac{46}{3}\\-2x=-y+\frac{-11}{3}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-7}{3})\}\)
12. \(\left\{\begin{matrix}-5x-3y=\frac{4}{11}\\x+2y=\frac{-26}{11}\end{matrix}\right.\qquad V=\{(\frac{10}{11},\frac{-18}{11})\}\)