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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-4y=\frac{912}{91}\\x+4y=\frac{-288}{91}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-2y=\frac{17}{24}\\3x=4y+\frac{-131}{24}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+6y=\frac{6}{5}\\-x+2y=\frac{-28}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-6y=28\\2x-y=2\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{267}{13}+x\\4x-3y=\frac{-418}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{-1113}{190}+5x\\-x-2y=\frac{111}{95}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{651}{95}-3x\\x+y=\frac{-23}{95}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{82}{55}-x\\-5x+4y=\frac{-944}{165}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{67}{19}+x\\-4x+4y=\frac{8}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=6+2x\\x+4y=\frac{-11}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+5y=\frac{19}{2}\\x=-6y+\frac{133}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+4y=\frac{364}{9}\\-x-y=\frac{-89}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-4y=\frac{912}{91}\\x+4y=\frac{-288}{91}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{-14}{13})\}\)
2. \(\left\{\begin{matrix}-x-2y=\frac{17}{24}\\3x=4y+\frac{-131}{24}\end{matrix}\right.\qquad V=\{(\frac{-11}{8},\frac{1}{3})\}\)
3. \(\left\{\begin{matrix}2x+6y=\frac{6}{5}\\-x+2y=\frac{-28}{5}\end{matrix}\right.\qquad V=\{(\frac{18}{5},-1)\}\)
4. \(\left\{\begin{matrix}-4x-6y=28\\2x-y=2\end{matrix}\right.\qquad V=\{(-1,-4)\}\)
5. \(\left\{\begin{matrix}2y=\frac{267}{13}+x\\4x-3y=\frac{-418}{13}\end{matrix}\right.\qquad V=\{(\frac{-7}{13},10)\}\)
6. \(\left\{\begin{matrix}3y=\frac{-1113}{190}+5x\\-x-2y=\frac{111}{95}\end{matrix}\right.\qquad V=\{(\frac{12}{19},\frac{-9}{10})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{651}{95}-3x\\x+y=\frac{-23}{95}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{-16}{19})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{82}{55}-x\\-5x+4y=\frac{-944}{165}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{-1}{15})\}\)
9. \(\left\{\begin{matrix}6y=\frac{67}{19}+x\\-4x+4y=\frac{8}{19}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{13}{19})\}\)
10. \(\left\{\begin{matrix}-4y=6+2x\\x+4y=\frac{-11}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{-1}{3})\}\)
11. \(\left\{\begin{matrix}-3x+5y=\frac{19}{2}\\x=-6y+\frac{133}{4}\end{matrix}\right.\qquad V=\{(\frac{19}{4},\frac{19}{4})\}\)
12. \(\left\{\begin{matrix}-4x+4y=\frac{364}{9}\\-x-y=\frac{-89}{9}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},10)\}\)