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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-y=-25\\3x=-6y+29\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+6y=-26\\-x=y+\frac{17}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+4y=\frac{1073}{260}\\-x+4y=\frac{709}{260}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-2y=\frac{-182}{17}\\-2x+y=\frac{74}{17}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{-31}{10}-x\\-4x-2y=\frac{-28}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-2y=\frac{1058}{63}\\x+4y=\frac{-433}{63}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{382}{13}+2x\\-x+3y=\frac{555}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-36}{19}+x\\6x-4y=\frac{-88}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{-67}{19}-x\\6x+2y=\frac{-462}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{21}{4}-6x\\5x-y=\frac{7}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=42+6x\\x-6y=\frac{14}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-371}{51}-2x\\6x+y=\frac{77}{51}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-y=-25\\3x=-6y+29\end{matrix}\right.\qquad V=\{(\frac{11}{3},3)\}\)
2. \(\left\{\begin{matrix}2x+6y=-26\\-x=y+\frac{17}{3}\end{matrix}\right.\qquad V=\{(-2,\frac{-11}{3})\}\)
3. \(\left\{\begin{matrix}3x+4y=\frac{1073}{260}\\-x+4y=\frac{709}{260}\end{matrix}\right.\qquad V=\{(\frac{7}{20},\frac{10}{13})\}\)
4. \(\left\{\begin{matrix}5x-2y=\frac{-182}{17}\\-2x+y=\frac{74}{17}\end{matrix}\right.\qquad V=\{(-2,\frac{6}{17})\}\)
5. \(\left\{\begin{matrix}-y=\frac{-31}{10}-x\\-4x-2y=\frac{-28}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},3)\}\)
6. \(\left\{\begin{matrix}-6x-2y=\frac{1058}{63}\\x+4y=\frac{-433}{63}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},\frac{-10}{9})\}\)
7. \(\left\{\begin{matrix}2y=\frac{382}{13}+2x\\-x+3y=\frac{555}{13}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},14)\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-36}{19}+x\\6x-4y=\frac{-88}{19}\end{matrix}\right.\qquad V=\{(\frac{-2}{19},1)\}\)
9. \(\left\{\begin{matrix}-3y=\frac{-67}{19}-x\\6x+2y=\frac{-462}{19}\end{matrix}\right.\qquad V=\{(-4,\frac{-3}{19})\}\)
10. \(\left\{\begin{matrix}3y=\frac{21}{4}-6x\\5x-y=\frac{7}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{8},1)\}\)
11. \(\left\{\begin{matrix}-6y=42+6x\\x-6y=\frac{14}{3}\end{matrix}\right.\qquad V=\{(\frac{-16}{3},\frac{-5}{3})\}\)
12. \(\left\{\begin{matrix}5y=\frac{-371}{51}-2x\\6x+y=\frac{77}{51}\end{matrix}\right.\qquad V=\{(\frac{9}{17},\frac{-5}{3})\}\)