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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+3y=\frac{-155}{48}\\2x+4y=\frac{-49}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+y=\frac{102}{95}\\-6x-3y=\frac{-156}{95}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{-620}{19}+2x\\-2x-4y=\frac{-656}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+6y=-9\\-x-y=\frac{3}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+6y=\frac{-19}{12}\\4x=y+\frac{-16}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-2y=\frac{-46}{15}\\-5x-y=\frac{43}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-5y=\frac{941}{187}\\-x+6y=\frac{-1006}{187}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-2y=\frac{69}{10}\\6x+4y=\frac{-97}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-6y=\frac{97}{20}\\-x=y+\frac{17}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+y=\frac{-127}{153}\\2x=3y+\frac{415}{153}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{-106}{13}+6x\\-x+4y=\frac{-191}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{-61}{5}-6x\\-x+2y=\frac{16}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+3y=\frac{-155}{48}\\2x+4y=\frac{-49}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-19}{16})\}\)
2. \(\left\{\begin{matrix}x+y=\frac{102}{95}\\-6x-3y=\frac{-156}{95}\end{matrix}\right.\qquad V=\{(\frac{-10}{19},\frac{8}{5})\}\)
3. \(\left\{\begin{matrix}-y=\frac{-620}{19}+2x\\-2x-4y=\frac{-656}{19}\end{matrix}\right.\qquad V=\{(16,\frac{12}{19})\}\)
4. \(\left\{\begin{matrix}6x+6y=-9\\-x-y=\frac{3}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-5}{4})\}\)
5. \(\left\{\begin{matrix}-3x+6y=\frac{-19}{12}\\4x=y+\frac{-16}{9}\end{matrix}\right.\qquad V=\{(\frac{-7}{12},\frac{-5}{9})\}\)
6. \(\left\{\begin{matrix}4x-2y=\frac{-46}{15}\\-5x-y=\frac{43}{10}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-2}{15})\}\)
7. \(\left\{\begin{matrix}2x-5y=\frac{941}{187}\\-x+6y=\frac{-1006}{187}\end{matrix}\right.\qquad V=\{(\frac{8}{17},\frac{-9}{11})\}\)
8. \(\left\{\begin{matrix}x-2y=\frac{69}{10}\\6x+4y=\frac{-97}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{-19}{5})\}\)
9. \(\left\{\begin{matrix}-5x-6y=\frac{97}{20}\\-x=y+\frac{17}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-3}{5})\}\)
10. \(\left\{\begin{matrix}-2x+y=\frac{-127}{153}\\2x=3y+\frac{415}{153}\end{matrix}\right.\qquad V=\{(\frac{-1}{18},\frac{-16}{17})\}\)
11. \(\left\{\begin{matrix}4y=\frac{-106}{13}+6x\\-x+4y=\frac{-191}{13}\end{matrix}\right.\qquad V=\{(\frac{-17}{13},-4)\}\)
12. \(\left\{\begin{matrix}-5y=\frac{-61}{5}-6x\\-x+2y=\frac{16}{5}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},1)\}\)