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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{539}{52}-6x\\x-y=\frac{185}{104}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{-64}{11}-4x\\-x-2y=\frac{3}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x+6y=\frac{16}{3}\\6x-6y=\frac{44}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=-1-2x\\x+4y=\frac{13}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-5y=\frac{-194}{15}\\3x+y=\frac{-61}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{-53}{7}-6x\\-2x-2y=\frac{-15}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+3y=\frac{-379}{14}\\-x=4y+\frac{268}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-5y=\frac{55}{6}\\-x+4y=\frac{8}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{115}{19}-x\\3x+4y=\frac{-16}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-2y=\frac{29}{8}\\-5x=-4y+\frac{-49}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-6y=\frac{989}{88}\\6x-5y=\frac{611}{44}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+5y=\frac{-98}{39}\\-6x=-y+\frac{185}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{539}{52}-6x\\x-y=\frac{185}{104}\end{matrix}\right.\qquad V=\{(\frac{13}{8},\frac{-2}{13})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{-64}{11}-4x\\-x-2y=\frac{3}{11}\end{matrix}\right.\qquad V=\{(-1,\frac{4}{11})\}\)
3. \(\left\{\begin{matrix}-x+6y=\frac{16}{3}\\6x-6y=\frac{44}{3}\end{matrix}\right.\qquad V=\{(4,\frac{14}{9})\}\)
4. \(\left\{\begin{matrix}-4y=-1-2x\\x+4y=\frac{13}{6}\end{matrix}\right.\qquad V=\{(\frac{7}{18},\frac{4}{9})\}\)
5. \(\left\{\begin{matrix}6x-5y=\frac{-194}{15}\\3x+y=\frac{-61}{30}\end{matrix}\right.\qquad V=\{(\frac{-11}{10},\frac{19}{15})\}\)
6. \(\left\{\begin{matrix}-y=\frac{-53}{7}-6x\\-2x-2y=\frac{-15}{7}\end{matrix}\right.\qquad V=\{(\frac{-13}{14},2)\}\)
7. \(\left\{\begin{matrix}-5x+3y=\frac{-379}{14}\\-x=4y+\frac{268}{7}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{-19}{2})\}\)
8. \(\left\{\begin{matrix}-5x-5y=\frac{55}{6}\\-x+4y=\frac{8}{3}\end{matrix}\right.\qquad V=\{(-2,\frac{1}{6})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{115}{19}-x\\3x+4y=\frac{-16}{19}\end{matrix}\right.\qquad V=\{(\frac{20}{19},-1)\}\)
10. \(\left\{\begin{matrix}x-2y=\frac{29}{8}\\-5x=-4y+\frac{-49}{8}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},-2)\}\)
11. \(\left\{\begin{matrix}x-6y=\frac{989}{88}\\6x-5y=\frac{611}{44}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{-19}{11})\}\)
12. \(\left\{\begin{matrix}4x+5y=\frac{-98}{39}\\-6x=-y+\frac{185}{13}\end{matrix}\right.\qquad V=\{(\frac{-13}{6},\frac{16}{13})\}\)