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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-3y=\frac{-22}{3}\\-x-4y=\frac{14}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-6y=\frac{-29}{7}\\x=-y+\frac{55}{21}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{-224}{17}-5x\\3x+y=\frac{-94}{85}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-y=\frac{23}{30}\\-5x-4y=\frac{31}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+3y=\frac{76}{15}\\4x+y=\frac{-49}{45}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+2y=\frac{-66}{13}\\x=2y+\frac{16}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-2y=\frac{-589}{120}\\-x-5y=\frac{-53}{24}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-2y=\frac{21}{4}\\-4x=-3y+-34\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{-121}{18}+4x\\5x-y=\frac{19}{36}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-4y=\frac{-301}{60}\\-x=6y+\frac{-497}{80}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-3y=\frac{47}{2}\\x=-2y+\frac{-49}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{55}{9}+4x\\4x+y=\frac{-139}{36}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-3y=\frac{-22}{3}\\-x-4y=\frac{14}{9}\end{matrix}\right.\qquad V=\{(2,\frac{-8}{9})\}\)
2. \(\left\{\begin{matrix}3x-6y=\frac{-29}{7}\\x=-y+\frac{55}{21}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{4}{3})\}\)
3. \(\left\{\begin{matrix}5y=\frac{-224}{17}-5x\\3x+y=\frac{-94}{85}\end{matrix}\right.\qquad V=\{(\frac{13}{17},\frac{-17}{5})\}\)
4. \(\left\{\begin{matrix}-2x-y=\frac{23}{30}\\-5x-4y=\frac{31}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-1}{10})\}\)
5. \(\left\{\begin{matrix}-3x+3y=\frac{76}{15}\\4x+y=\frac{-49}{45}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{17}{15})\}\)
6. \(\left\{\begin{matrix}4x+2y=\frac{-66}{13}\\x=2y+\frac{16}{13}\end{matrix}\right.\qquad V=\{(\frac{-10}{13},-1)\}\)
7. \(\left\{\begin{matrix}-5x-2y=\frac{-589}{120}\\-x-5y=\frac{-53}{24}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{4}{15})\}\)
8. \(\left\{\begin{matrix}-x-2y=\frac{21}{4}\\-4x=-3y+-34\end{matrix}\right.\qquad V=\{(\frac{19}{4},-5)\}\)
9. \(\left\{\begin{matrix}-2y=\frac{-121}{18}+4x\\5x-y=\frac{19}{36}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{9}{4})\}\)
10. \(\left\{\begin{matrix}4x-4y=\frac{-301}{60}\\-x=6y+\frac{-497}{80}\end{matrix}\right.\qquad V=\{(\frac{-3}{16},\frac{16}{15})\}\)
11. \(\left\{\begin{matrix}-4x-3y=\frac{47}{2}\\x=-2y+\frac{-49}{6}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{-11}{6})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{55}{9}+4x\\4x+y=\frac{-139}{36}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{-3}{4})\}\)