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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{373}{176}-x\\-6x-5y=\frac{-207}{88}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-3y=\frac{32}{3}\\6x-y=9\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+5y=\frac{65}{2}\\3x+5y=\frac{55}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+5y=\frac{31}{10}\\-x-y=\frac{-23}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{30}{17}-x\\-3x+3y=\frac{-30}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+2y=\frac{28}{15}\\-x+4y=\frac{1}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-y=\frac{433}{6}\\-2x+3y=\frac{71}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+y=\frac{9}{5}\\-2x=-2y+\frac{44}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-5y=\frac{72}{5}\\-x+3y=\frac{-46}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+4y=\frac{114}{5}\\-x=3y+\frac{-53}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-2y=\frac{-298}{77}\\x=y+\frac{-149}{77}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-3y=\frac{-361}{13}\\x+3y=\frac{412}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{373}{176}-x\\-6x-5y=\frac{-207}{88}\end{matrix}\right.\qquad V=\{(\frac{-1}{16},\frac{6}{11})\}\)
2. \(\left\{\begin{matrix}4x-3y=\frac{32}{3}\\6x-y=9\end{matrix}\right.\qquad V=\{(\frac{7}{6},-2)\}\)
3. \(\left\{\begin{matrix}x+5y=\frac{65}{2}\\3x+5y=\frac{55}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},7)\}\)
4. \(\left\{\begin{matrix}2x+5y=\frac{31}{10}\\-x-y=\frac{-23}{10}\end{matrix}\right.\qquad V=\{(\frac{14}{5},\frac{-1}{2})\}\)
5. \(\left\{\begin{matrix}y=\frac{30}{17}-x\\-3x+3y=\frac{-30}{17}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{10}{17})\}\)
6. \(\left\{\begin{matrix}-2x+2y=\frac{28}{15}\\-x+4y=\frac{1}{3}\end{matrix}\right.\qquad V=\{(\frac{-17}{15},\frac{-1}{5})\}\)
7. \(\left\{\begin{matrix}-4x-y=\frac{433}{6}\\-2x+3y=\frac{71}{2}\end{matrix}\right.\qquad V=\{(-18,\frac{-1}{6})\}\)
8. \(\left\{\begin{matrix}-2x+y=\frac{9}{5}\\-2x=-2y+\frac{44}{5}\end{matrix}\right.\qquad V=\{(\frac{13}{5},7)\}\)
9. \(\left\{\begin{matrix}4x-5y=\frac{72}{5}\\-x+3y=\frac{-46}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-16}{5})\}\)
10. \(\left\{\begin{matrix}2x+4y=\frac{114}{5}\\-x=3y+\frac{-53}{5}\end{matrix}\right.\qquad V=\{(13,\frac{-4}{5})\}\)
11. \(\left\{\begin{matrix}2x-2y=\frac{-298}{77}\\x=y+\frac{-149}{77}\end{matrix}\right.\qquad V=\{(\frac{-11}{7},\frac{4}{11})\}\)
12. \(\left\{\begin{matrix}-4x-3y=\frac{-361}{13}\\x+3y=\frac{412}{13}\end{matrix}\right.\qquad V=\{(\frac{-17}{13},11)\}\)