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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+y=\frac{3}{2}\\6x=4y+20\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+3y=\frac{-7}{26}\\5x-y=\frac{-329}{78}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-5y=\frac{82}{19}\\5x=2y+\frac{42}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-6y=\frac{92}{7}\\x=-3y+\frac{-74}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-4y=\frac{29}{3}\\5x=-y+\frac{-10}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{-236}{143}-4x\\x-y=\frac{40}{143}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+5y=\frac{-751}{133}\\-5x+y=\frac{-699}{133}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-4y=\frac{43}{10}\\3x+2y=\frac{-39}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-4y=\frac{-39}{5}\\-x=-y+\frac{29}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-4y=\frac{269}{154}\\-2x-5y=\frac{164}{77}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-y=\frac{451}{78}\\-2x=2y+\frac{163}{39}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=-28-2x\\-x+6y=94\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+y=\frac{3}{2}\\6x=4y+20\end{matrix}\right.\qquad V=\{(1,\frac{-7}{2})\}\)
2. \(\left\{\begin{matrix}-3x+3y=\frac{-7}{26}\\5x-y=\frac{-329}{78}\end{matrix}\right.\qquad V=\{(\frac{-14}{13},\frac{-7}{6})\}\)
3. \(\left\{\begin{matrix}x-5y=\frac{82}{19}\\5x=2y+\frac{42}{19}\end{matrix}\right.\qquad V=\{(\frac{2}{19},\frac{-16}{19})\}\)
4. \(\left\{\begin{matrix}2x-6y=\frac{92}{7}\\x=-3y+\frac{-74}{7}\end{matrix}\right.\qquad V=\{(-2,\frac{-20}{7})\}\)
5. \(\left\{\begin{matrix}2x-4y=\frac{29}{3}\\5x=-y+\frac{-10}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{-5}{2})\}\)
6. \(\left\{\begin{matrix}2y=\frac{-236}{143}-4x\\x-y=\frac{40}{143}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{-6}{13})\}\)
7. \(\left\{\begin{matrix}3x+5y=\frac{-751}{133}\\-5x+y=\frac{-699}{133}\end{matrix}\right.\qquad V=\{(\frac{14}{19},\frac{-11}{7})\}\)
8. \(\left\{\begin{matrix}x-4y=\frac{43}{10}\\3x+2y=\frac{-39}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-6}{5})\}\)
9. \(\left\{\begin{matrix}6x-4y=\frac{-39}{5}\\-x=-y+\frac{29}{20}\end{matrix}\right.\qquad V=\{(-1,\frac{9}{20})\}\)
10. \(\left\{\begin{matrix}-x-4y=\frac{269}{154}\\-2x-5y=\frac{164}{77}\end{matrix}\right.\qquad V=\{(\frac{1}{14},\frac{-5}{11})\}\)
11. \(\left\{\begin{matrix}-5x-y=\frac{451}{78}\\-2x=2y+\frac{163}{39}\end{matrix}\right.\qquad V=\{(\frac{-12}{13},\frac{-7}{6})\}\)
12. \(\left\{\begin{matrix}-2y=-28-2x\\-x+6y=94\end{matrix}\right.\qquad V=\{(2,16)\}\)