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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+2y=\frac{71}{10}\\-x=-y+\frac{37}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+2y=\frac{687}{110}\\x+4y=\frac{-89}{110}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{1}{2}-x\\-6x+2y=-19\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-3y=\frac{-13}{40}\\-6x+3y=\frac{453}{40}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{-27}{4}-2x\\-x-5y=\frac{53}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+6y=46\\-5x+y=-9\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-6y=\frac{138}{19}\\x+6y=\frac{52}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{19}{85}+2x\\x+4y=\frac{-37}{85}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+3y=\frac{-637}{15}\\-6x=-y+\frac{-91}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{-3}{2}-6x\\-5x-y=1\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-5y=\frac{-33}{14}\\-3x-5y=\frac{-201}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{-37}{20}-3x\\6x-4y=\frac{-16}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+2y=\frac{71}{10}\\-x=-y+\frac{37}{20}\end{matrix}\right.\qquad V=\{(\frac{-17}{20},1)\}\)
2. \(\left\{\begin{matrix}-3x+2y=\frac{687}{110}\\x+4y=\frac{-89}{110}\end{matrix}\right.\qquad V=\{(\frac{-19}{10},\frac{3}{11})\}\)
3. \(\left\{\begin{matrix}5y=\frac{1}{2}-x\\-6x+2y=-19\end{matrix}\right.\qquad V=\{(3,\frac{-1}{2})\}\)
4. \(\left\{\begin{matrix}x-3y=\frac{-13}{40}\\-6x+3y=\frac{453}{40}\end{matrix}\right.\qquad V=\{(\frac{-11}{5},\frac{-5}{8})\}\)
5. \(\left\{\begin{matrix}6y=\frac{-27}{4}-2x\\-x-5y=\frac{53}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-13}{8})\}\)
6. \(\left\{\begin{matrix}-5x+6y=46\\-5x+y=-9\end{matrix}\right.\qquad V=\{(4,11)\}\)
7. \(\left\{\begin{matrix}-6x-6y=\frac{138}{19}\\x+6y=\frac{52}{19}\end{matrix}\right.\qquad V=\{(-2,\frac{15}{19})\}\)
8. \(\left\{\begin{matrix}3y=\frac{19}{85}+2x\\x+4y=\frac{-37}{85}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-1}{17})\}\)
9. \(\left\{\begin{matrix}-4x+3y=\frac{-637}{15}\\-6x=-y+\frac{-91}{5}\end{matrix}\right.\qquad V=\{(\frac{13}{15},-13)\}\)
10. \(\left\{\begin{matrix}3y=\frac{-3}{2}-6x\\-5x-y=1\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{-1}{6})\}\)
11. \(\left\{\begin{matrix}x-5y=\frac{-33}{14}\\-3x-5y=\frac{-201}{14}\end{matrix}\right.\qquad V=\{(3,\frac{15}{14})\}\)
12. \(\left\{\begin{matrix}-y=\frac{-37}{20}-3x\\6x-4y=\frac{-16}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{-1}{4})\}\)