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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-6y=\frac{-1312}{323}\\6x+y=\frac{451}{323}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{-1110}{187}-4x\\2x-2y=\frac{-500}{187}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{21}{4}+5x\\3x-y=\frac{-81}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+2y=\frac{-5}{12}\\6x=y+\frac{-79}{24}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-4y=\frac{-23}{9}\\-x=y+\frac{-7}{18}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-6y=23\\x-3y=\frac{1}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-4y=\frac{238}{15}\\x-4y=\frac{689}{45}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x-y=\frac{7}{48}\\2x+5y=\frac{-553}{144}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-y=\frac{11}{9}\\-3x+5y=\frac{11}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-y=\frac{26}{5}\\6x=4y+\frac{44}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+4y=\frac{-183}{22}\\x+2y=\frac{-247}{66}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+y=\frac{71}{10}\\-4x=2y+\frac{14}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-6y=\frac{-1312}{323}\\6x+y=\frac{451}{323}\end{matrix}\right.\qquad V=\{(\frac{2}{19},\frac{13}{17})\}\)
2. \(\left\{\begin{matrix}y=\frac{-1110}{187}-4x\\2x-2y=\frac{-500}{187}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},\frac{-2}{17})\}\)
3. \(\left\{\begin{matrix}5y=\frac{21}{4}+5x\\3x-y=\frac{-81}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-9}{20})\}\)
4. \(\left\{\begin{matrix}4x+2y=\frac{-5}{12}\\6x=y+\frac{-79}{24}\end{matrix}\right.\qquad V=\{(\frac{-7}{16},\frac{2}{3})\}\)
5. \(\left\{\begin{matrix}5x-4y=\frac{-23}{9}\\-x=y+\frac{-7}{18}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{1}{2})\}\)
6. \(\left\{\begin{matrix}6x-6y=23\\x-3y=\frac{1}{2}\end{matrix}\right.\qquad V=\{(\frac{11}{2},\frac{5}{3})\}\)
7. \(\left\{\begin{matrix}6x-4y=\frac{238}{15}\\x-4y=\frac{689}{45}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{-19}{5})\}\)
8. \(\left\{\begin{matrix}-6x-y=\frac{7}{48}\\2x+5y=\frac{-553}{144}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{-13}{16})\}\)
9. \(\left\{\begin{matrix}5x-y=\frac{11}{9}\\-3x+5y=\frac{11}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{4}{9})\}\)
10. \(\left\{\begin{matrix}-3x-y=\frac{26}{5}\\6x=4y+\frac{44}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-16}{5})\}\)
11. \(\left\{\begin{matrix}3x+4y=\frac{-183}{22}\\x+2y=\frac{-247}{66}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-16}{11})\}\)
12. \(\left\{\begin{matrix}-3x+y=\frac{71}{10}\\-4x=2y+\frac{14}{5}\end{matrix}\right.\qquad V=\{(\frac{-17}{10},2)\}\)