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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-2y=\frac{-136}{5}\\x-6y=\frac{-393}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{329}{18}-5x\\-3x-3y=\frac{323}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+2y=\frac{-53}{5}\\3x=-y+\frac{-59}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+2y=\frac{-157}{36}\\-6x=y+\frac{71}{24}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{-43}{12}+2x\\3x+y=\frac{-13}{72}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-3y=-23\\x=3y+25\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+4y=\frac{-10}{21}\\-2x+y=\frac{37}{42}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-6y=\frac{55}{3}\\-5x=4y+5\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+y=\frac{47}{51}\\-4x=-4y+\frac{52}{51}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+y=\frac{309}{65}\\-6x+3y=\frac{852}{65}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=-9-6x\\3x-y=\frac{-13}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-3y=\frac{617}{119}\\-5x+y=\frac{-829}{119}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-2y=\frac{-136}{5}\\x-6y=\frac{-393}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},13)\}\)
2. \(\left\{\begin{matrix}-y=\frac{329}{18}-5x\\-3x-3y=\frac{323}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{18},-18)\}\)
3. \(\left\{\begin{matrix}2x+2y=\frac{-53}{5}\\3x=-y+\frac{-59}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},-5)\}\)
4. \(\left\{\begin{matrix}5x+2y=\frac{-157}{36}\\-6x=y+\frac{71}{24}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{-13}{8})\}\)
5. \(\left\{\begin{matrix}6y=\frac{-43}{12}+2x\\3x+y=\frac{-13}{72}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{-5}{9})\}\)
6. \(\left\{\begin{matrix}-5x-3y=-23\\x=3y+25\end{matrix}\right.\qquad V=\{(8,\frac{-17}{3})\}\)
7. \(\left\{\begin{matrix}4x+4y=\frac{-10}{21}\\-2x+y=\frac{37}{42}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{3}{14})\}\)
8. \(\left\{\begin{matrix}-x-6y=\frac{55}{3}\\-5x=4y+5\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-10}{3})\}\)
9. \(\left\{\begin{matrix}-2x+y=\frac{47}{51}\\-4x=-4y+\frac{52}{51}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-7}{17})\}\)
10. \(\left\{\begin{matrix}-3x+y=\frac{309}{65}\\-6x+3y=\frac{852}{65}\end{matrix}\right.\qquad V=\{(\frac{-5}{13},\frac{18}{5})\}\)
11. \(\left\{\begin{matrix}-6y=-9-6x\\3x-y=\frac{-13}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{7}{6})\}\)
12. \(\left\{\begin{matrix}4x-3y=\frac{617}{119}\\-5x+y=\frac{-829}{119}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{3}{17})\}\)