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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-y=\frac{-139}{190}\\2x-5y=\frac{-27}{38}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{-177}{38}+3x\\x-5y=\frac{-197}{114}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+6y=\frac{-42}{65}\\-x-5y=\frac{161}{39}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+3y=37\\-x-2y=\frac{-21}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{43}{15}+5x\\x-5y=\frac{113}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-6y=\frac{-167}{6}\\-4x-3y=\frac{-44}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+3y=32\\-2x-y=\frac{-32}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-2y=\frac{242}{7}\\-x+2y=\frac{111}{14}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-3y=\frac{80}{7}\\4x=y+\frac{-40}{21}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{-192}{119}-4x\\-3x+y=\frac{-621}{119}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+6y=56\\5x+y=26\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-3y=\frac{-27}{8}\\-5x-2y=\frac{-1}{8}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-y=\frac{-139}{190}\\2x-5y=\frac{-27}{38}\end{matrix}\right.\qquad V=\{(\frac{-2}{19},\frac{1}{10})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{-177}{38}+3x\\x-5y=\frac{-197}{114}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{11}{19})\}\)
3. \(\left\{\begin{matrix}4x+6y=\frac{-42}{65}\\-x-5y=\frac{161}{39}\end{matrix}\right.\qquad V=\{(\frac{20}{13},\frac{-17}{15})\}\)
4. \(\left\{\begin{matrix}4x+3y=37\\-x-2y=\frac{-21}{2}\end{matrix}\right.\qquad V=\{(\frac{17}{2},1)\}\)
5. \(\left\{\begin{matrix}-6y=\frac{43}{15}+5x\\x-5y=\frac{113}{30}\end{matrix}\right.\qquad V=\{(\frac{4}{15},\frac{-7}{10})\}\)
6. \(\left\{\begin{matrix}x-6y=\frac{-167}{6}\\-4x-3y=\frac{-44}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{14}{3})\}\)
7. \(\left\{\begin{matrix}6x+3y=32\\-2x-y=\frac{-32}{3}\end{matrix}\right.\qquad V=\{(\frac{14}{3},\frac{4}{3})\}\)
8. \(\left\{\begin{matrix}-4x-2y=\frac{242}{7}\\-x+2y=\frac{111}{14}\end{matrix}\right.\qquad V=\{(\frac{-17}{2},\frac{-2}{7})\}\)
9. \(\left\{\begin{matrix}-3x-3y=\frac{80}{7}\\4x=y+\frac{-40}{21}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{-8}{3})\}\)
10. \(\left\{\begin{matrix}2y=\frac{-192}{119}-4x\\-3x+y=\frac{-621}{119}\end{matrix}\right.\qquad V=\{(\frac{15}{17},\frac{-18}{7})\}\)
11. \(\left\{\begin{matrix}5x+6y=56\\5x+y=26\end{matrix}\right.\qquad V=\{(4,6)\}\)
12. \(\left\{\begin{matrix}x-3y=\frac{-27}{8}\\-5x-2y=\frac{-1}{8}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},1)\}\)