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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-y=\frac{51}{11}\\-6x=-6y+\frac{-306}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-3y=\frac{-161}{88}\\2x+2y=\frac{-37}{44}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=-25-3x\\-5x-y=\frac{187}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-6y=\frac{-778}{57}\\-x+y=\frac{155}{57}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+y=\frac{295}{34}\\-3x+6y=\frac{864}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+4y=\frac{4}{15}\\x=-4y+\frac{76}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{-202}{95}+5x\\-x+y=\frac{28}{95}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-3y=\frac{27}{5}\\3x=-y+\frac{1}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+4y=\frac{-9}{5}\\-x=5y+\frac{1}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{9}{2}-6x\\3x-2y=0\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{88}{35}-4x\\4x+y=\frac{-297}{35}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-5y=\frac{-306}{13}\\-6x=3y+\frac{-81}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-y=\frac{51}{11}\\-6x=-6y+\frac{-306}{11}\end{matrix}\right.\qquad V=\{(6,\frac{15}{11})\}\)
2. \(\left\{\begin{matrix}-x-3y=\frac{-161}{88}\\2x+2y=\frac{-37}{44}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},\frac{9}{8})\}\)
3. \(\left\{\begin{matrix}2y=-25-3x\\-5x-y=\frac{187}{6}\end{matrix}\right.\qquad V=\{(\frac{-16}{3},\frac{-9}{2})\}\)
4. \(\left\{\begin{matrix}5x-6y=\frac{-778}{57}\\-x+y=\frac{155}{57}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{1}{19})\}\)
5. \(\left\{\begin{matrix}3x+y=\frac{295}{34}\\-3x+6y=\frac{864}{17}\end{matrix}\right.\qquad V=\{(\frac{1}{17},\frac{17}{2})\}\)
6. \(\left\{\begin{matrix}4x+4y=\frac{4}{15}\\x=-4y+\frac{76}{15}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{5}{3})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{-202}{95}+5x\\-x+y=\frac{28}{95}\end{matrix}\right.\qquad V=\{(\frac{2}{19},\frac{2}{5})\}\)
8. \(\left\{\begin{matrix}-2x-3y=\frac{27}{5}\\3x=-y+\frac{1}{15}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-7}{3})\}\)
9. \(\left\{\begin{matrix}-2x+4y=\frac{-9}{5}\\-x=5y+\frac{1}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-1}{5})\}\)
10. \(\left\{\begin{matrix}-y=\frac{9}{2}-6x\\3x-2y=0\end{matrix}\right.\qquad V=\{(1,\frac{3}{2})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{88}{35}-4x\\4x+y=\frac{-297}{35}\end{matrix}\right.\qquad V=\{(\frac{-11}{7},\frac{-11}{5})\}\)
12. \(\left\{\begin{matrix}-x-5y=\frac{-306}{13}\\-6x=3y+\frac{-81}{13}\end{matrix}\right.\qquad V=\{(\frac{-19}{13},5)\}\)