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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+y=\frac{-23}{8}\\-6x-5y=\frac{-39}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+6y=\frac{-9}{2}\\x-4y=\frac{3}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-2y=\frac{-94}{9}\\5x=-y+\frac{-79}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{45}{11}-x\\5x-3y=\frac{153}{22}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-5y=-31\\2x=-y+7\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{-7}{12}-6x\\-3x+2y=\frac{-53}{24}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-4y=\frac{339}{22}\\-x-5y=\frac{135}{22}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+y=\frac{-19}{3}\\-4x=-2y+\frac{-46}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{113}{30}+6x\\x+5y=\frac{-115}{36}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-2y=\frac{232}{63}\\-x-4y=\frac{59}{63}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-5y=\frac{-135}{38}\\-6x-y=\frac{186}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+3y=\frac{-34}{95}\\-3x=-5y+\frac{298}{95}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+y=\frac{-23}{8}\\-6x-5y=\frac{-39}{8}\end{matrix}\right.\qquad V=\{(\frac{11}{12},\frac{-1}{8})\}\)
2. \(\left\{\begin{matrix}3x+6y=\frac{-9}{2}\\x-4y=\frac{3}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-1}{2})\}\)
3. \(\left\{\begin{matrix}4x-2y=\frac{-94}{9}\\5x=-y+\frac{-79}{9}\end{matrix}\right.\qquad V=\{(-2,\frac{11}{9})\}\)
4. \(\left\{\begin{matrix}-6y=\frac{45}{11}-x\\5x-3y=\frac{153}{22}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{-1}{2})\}\)
5. \(\left\{\begin{matrix}-6x-5y=-31\\2x=-y+7\end{matrix}\right.\qquad V=\{(1,5)\}\)
6. \(\left\{\begin{matrix}-y=\frac{-7}{12}-6x\\-3x+2y=\frac{-53}{24}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{-5}{3})\}\)
7. \(\left\{\begin{matrix}-5x-4y=\frac{339}{22}\\-x-5y=\frac{135}{22}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-8}{11})\}\)
8. \(\left\{\begin{matrix}-6x+y=\frac{-19}{3}\\-4x=-2y+\frac{-46}{9}\end{matrix}\right.\qquad V=\{(\frac{17}{18},\frac{-2}{3})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{113}{30}+6x\\x+5y=\frac{-115}{36}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{-11}{20})\}\)
10. \(\left\{\begin{matrix}2x-2y=\frac{232}{63}\\-x-4y=\frac{59}{63}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{-5}{9})\}\)
11. \(\left\{\begin{matrix}5x-5y=\frac{-135}{38}\\-6x-y=\frac{186}{19}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-15}{19})\}\)
12. \(\left\{\begin{matrix}-x+3y=\frac{-34}{95}\\-3x=-5y+\frac{298}{95}\end{matrix}\right.\qquad V=\{(\frac{-14}{5},\frac{-20}{19})\}\)