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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{-29}{11}+3x\\x+3y=\frac{89}{33}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=2-2x\\-3x-3y=\frac{-21}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{34}{7}-5x\\2x-5y=\frac{-94}{35}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+6y=\frac{-1907}{208}\\3x=-5y+\frac{-1639}{208}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-5y=0\\-x=y+0\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+6y=\frac{-199}{17}\\4x+y=\frac{361}{102}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-2y=\frac{44}{3}\\-2x=-y+\frac{-22}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{27}{10}-x\\5x-5y=\frac{-27}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{21}{2}+3x\\4x-y=-7\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+3y=\frac{-49}{2}\\-x-5y=\frac{413}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+y=\frac{-142}{15}\\5x-2y=\frac{364}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+4y=\frac{-358}{63}\\-2x+y=\frac{523}{126}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{-29}{11}+3x\\x+3y=\frac{89}{33}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{5}{11})\}\)
2. \(\left\{\begin{matrix}y=2-2x\\-3x-3y=\frac{-21}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{4}{5})\}\)
3. \(\left\{\begin{matrix}y=\frac{34}{7}-5x\\2x-5y=\frac{-94}{35}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{6}{7})\}\)
4. \(\left\{\begin{matrix}-x+6y=\frac{-1907}{208}\\3x=-5y+\frac{-1639}{208}\end{matrix}\right.\qquad V=\{(\frac{-1}{16},\frac{-20}{13})\}\)
5. \(\left\{\begin{matrix}-5x-5y=0\\-x=y+0\end{matrix}\right.\qquad V=\{(\frac{1}{18},\frac{-1}{18})\}\)
6. \(\left\{\begin{matrix}-4x+6y=\frac{-199}{17}\\4x+y=\frac{361}{102}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{-7}{6})\}\)
7. \(\left\{\begin{matrix}4x-2y=\frac{44}{3}\\-2x=-y+\frac{-22}{3}\end{matrix}\right.\qquad V=\{(2,\frac{-10}{3})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{27}{10}-x\\5x-5y=\frac{-27}{8}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{-9}{8})\}\)
9. \(\left\{\begin{matrix}6y=\frac{21}{2}+3x\\4x-y=-7\end{matrix}\right.\qquad V=\{(\frac{-3}{2},1)\}\)
10. \(\left\{\begin{matrix}-6x+3y=\frac{-49}{2}\\-x-5y=\frac{413}{12}\end{matrix}\right.\qquad V=\{(\frac{7}{12},-7)\}\)
11. \(\left\{\begin{matrix}-2x+y=\frac{-142}{15}\\5x-2y=\frac{364}{15}\end{matrix}\right.\qquad V=\{(\frac{16}{3},\frac{6}{5})\}\)
12. \(\left\{\begin{matrix}5x+4y=\frac{-358}{63}\\-2x+y=\frac{523}{126}\end{matrix}\right.\qquad V=\{(\frac{-12}{7},\frac{13}{18})\}\)