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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+4y=12\\-x+5y=\frac{-31}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+5y=\frac{-3}{10}\\2x=-y+\frac{-23}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x+6y=-4\\-3x=-4y+\frac{-55}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{-226}{85}+x\\6x-5y=\frac{-529}{85}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+y=\frac{-21}{8}\\6x=-3y+\frac{87}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+4y=\frac{257}{76}\\-4x=y+\frac{-697}{304}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{-41}{9}+2x\\-6x-4y=\frac{-235}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=\frac{268}{45}+6x\\-5x-y=\frac{10}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+3y=\frac{-47}{10}\\5x=5y+\frac{39}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{-1618}{209}+6x\\-5x-3y=\frac{-1264}{209}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=-43+2x\\x-6y=-19\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{-28}{15}-6x\\-5x-y=\frac{34}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+4y=12\\-x+5y=\frac{-31}{3}\end{matrix}\right.\qquad V=\{(\frac{-19}{3},\frac{-10}{3})\}\)
2. \(\left\{\begin{matrix}3x+5y=\frac{-3}{10}\\2x=-y+\frac{-23}{10}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{9}{10})\}\)
3. \(\left\{\begin{matrix}-x+6y=-4\\-3x=-4y+\frac{-55}{4}\end{matrix}\right.\qquad V=\{(\frac{19}{4},\frac{1}{8})\}\)
4. \(\left\{\begin{matrix}-4y=\frac{-226}{85}+x\\6x-5y=\frac{-529}{85}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{13}{17})\}\)
5. \(\left\{\begin{matrix}-3x+y=\frac{-21}{8}\\6x=-3y+\frac{87}{8}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{9}{8})\}\)
6. \(\left\{\begin{matrix}5x+4y=\frac{257}{76}\\-4x=y+\frac{-697}{304}\end{matrix}\right.\qquad V=\{(\frac{10}{19},\frac{3}{16})\}\)
7. \(\left\{\begin{matrix}y=\frac{-41}{9}+2x\\-6x-4y=\frac{-235}{9}\end{matrix}\right.\qquad V=\{(\frac{19}{6},\frac{16}{9})\}\)
8. \(\left\{\begin{matrix}4y=\frac{268}{45}+6x\\-5x-y=\frac{10}{9}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{8}{9})\}\)
9. \(\left\{\begin{matrix}-x+3y=\frac{-47}{10}\\5x=5y+\frac{39}{2}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{-2}{5})\}\)
10. \(\left\{\begin{matrix}y=\frac{-1618}{209}+6x\\-5x-3y=\frac{-1264}{209}\end{matrix}\right.\qquad V=\{(\frac{14}{11},\frac{-2}{19})\}\)
11. \(\left\{\begin{matrix}-6y=-43+2x\\x-6y=-19\end{matrix}\right.\qquad V=\{(8,\frac{9}{2})\}\)
12. \(\left\{\begin{matrix}2y=\frac{-28}{15}-6x\\-5x-y=\frac{34}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{16}{15})\}\)