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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+4y=\frac{29}{15}\\-x+2y=\frac{61}{30}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+6y=\frac{-139}{10}\\x=4y+\frac{637}{120}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{-97}{21}+5x\\-2x-y=\frac{47}{21}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+y=\frac{37}{12}\\6x+5y=\frac{-23}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-6y=\frac{548}{13}\\4x=4y+\frac{372}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{-5}{3}-x\\-6x-5y=-1\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{152}{21}+2x\\-x-4y=\frac{-134}{21}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{-71}{10}-3x\\2x+y=\frac{-93}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{-15}{2}-5x\\-x-5y=\frac{57}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+y=\frac{291}{95}\\-5x-6y=\frac{-876}{95}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-5y=\frac{-11}{2}\\-x+6y=\frac{28}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{-52}{15}+4x\\4x-y=\frac{-23}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+4y=\frac{29}{15}\\-x+2y=\frac{61}{30}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{3}{4})\}\)
2. \(\left\{\begin{matrix}-4x+6y=\frac{-139}{10}\\x=4y+\frac{637}{120}\end{matrix}\right.\qquad V=\{(\frac{19}{8},\frac{-11}{15})\}\)
3. \(\left\{\begin{matrix}4y=\frac{-97}{21}+5x\\-2x-y=\frac{47}{21}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-11}{7})\}\)
4. \(\left\{\begin{matrix}6x+y=\frac{37}{12}\\6x+5y=\frac{-23}{12}\end{matrix}\right.\qquad V=\{(\frac{13}{18},\frac{-5}{4})\}\)
5. \(\left\{\begin{matrix}x-6y=\frac{548}{13}\\4x=4y+\frac{372}{13}\end{matrix}\right.\qquad V=\{(\frac{2}{13},-7)\}\)
6. \(\left\{\begin{matrix}-y=\frac{-5}{3}-x\\-6x-5y=-1\end{matrix}\right.\qquad V=\{(\frac{-2}{3},1)\}\)
7. \(\left\{\begin{matrix}4y=\frac{152}{21}+2x\\-x-4y=\frac{-134}{21}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{5}{3})\}\)
8. \(\left\{\begin{matrix}2y=\frac{-71}{10}-3x\\2x+y=\frac{-93}{20}\end{matrix}\right.\qquad V=\{(\frac{-11}{5},\frac{-1}{4})\}\)
9. \(\left\{\begin{matrix}4y=\frac{-15}{2}-5x\\-x-5y=\frac{57}{10}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},-1)\}\)
10. \(\left\{\begin{matrix}-4x+y=\frac{291}{95}\\-5x-6y=\frac{-876}{95}\end{matrix}\right.\qquad V=\{(\frac{-6}{19},\frac{9}{5})\}\)
11. \(\left\{\begin{matrix}-6x-5y=\frac{-11}{2}\\-x+6y=\frac{28}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{3}{2})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{-52}{15}+4x\\4x-y=\frac{-23}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{15},1)\}\)