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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{-207}{56}-3x\\5x+y=\frac{-697}{56}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+6y=\frac{-2245}{133}\\x+y=\frac{218}{133}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-y=\frac{-91}{9}\\-3x+6y=\frac{179}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+3y=\frac{-21}{2}\\5x-6y=57\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{205}{12}+5x\\x+5y=\frac{-217}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+2y=\frac{157}{6}\\x=-6y+\frac{163}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+y=\frac{37}{4}\\6x=-5y+38\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-3y=\frac{23}{10}\\5x=y+\frac{9}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+3y=\frac{251}{34}\\-6x=-y+\frac{945}{34}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{7}{11}+5x\\-x+6y=\frac{-245}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-6y=\frac{5}{7}\\4x-y=\frac{67}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+5y=\frac{225}{2}\\3x=y+\frac{-125}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{-207}{56}-3x\\5x+y=\frac{-697}{56}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},\frac{-4}{7})\}\)
2. \(\left\{\begin{matrix}-5x+6y=\frac{-2245}{133}\\x+y=\frac{218}{133}\end{matrix}\right.\qquad V=\{(\frac{17}{7},\frac{-15}{19})\}\)
3. \(\left\{\begin{matrix}-x-y=\frac{-91}{9}\\-3x+6y=\frac{179}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{9},10)\}\)
4. \(\left\{\begin{matrix}-x+3y=\frac{-21}{2}\\5x-6y=57\end{matrix}\right.\qquad V=\{(12,\frac{1}{2})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{205}{12}+5x\\x+5y=\frac{-217}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-11}{3})\}\)
6. \(\left\{\begin{matrix}4x+2y=\frac{157}{6}\\x=-6y+\frac{163}{6}\end{matrix}\right.\qquad V=\{(\frac{14}{3},\frac{15}{4})\}\)
7. \(\left\{\begin{matrix}-x+y=\frac{37}{4}\\6x=-5y+38\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{17}{2})\}\)
8. \(\left\{\begin{matrix}-4x-3y=\frac{23}{10}\\5x=y+\frac{9}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},\frac{-7}{10})\}\)
9. \(\left\{\begin{matrix}-2x+3y=\frac{251}{34}\\-6x=-y+\frac{945}{34}\end{matrix}\right.\qquad V=\{(\frac{-19}{4},\frac{-12}{17})\}\)
10. \(\left\{\begin{matrix}2y=\frac{7}{11}+5x\\-x+6y=\frac{-245}{11}\end{matrix}\right.\qquad V=\{(\frac{-19}{11},-4)\}\)
11. \(\left\{\begin{matrix}-4x-6y=\frac{5}{7}\\4x-y=\frac{67}{14}\end{matrix}\right.\qquad V=\{(1,\frac{-11}{14})\}\)
12. \(\left\{\begin{matrix}-5x+5y=\frac{225}{2}\\3x=y+\frac{-125}{2}\end{matrix}\right.\qquad V=\{(-20,\frac{5}{2})\}\)