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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+6y=\frac{459}{70}\\-2x=-4y+\frac{139}{35}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+2y=\frac{43}{11}\\-x-y=\frac{-5}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{-7}{16}-x\\6x+4y=\frac{-17}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{-116}{45}-4x\\-x-5y=\frac{22}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-3y=62\\-4x-2y=18\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+4y=\frac{851}{30}\\3x+y=\frac{553}{60}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-5y=\frac{10}{9}\\x+2y=\frac{10}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x-y=\frac{1022}{323}\\-5x+2y=\frac{1713}{323}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{-11}{3}\\-x=-y+-1\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+y=\frac{-311}{13}\\5x=5y+\frac{-395}{13}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{949}{90}+3x\\6x+2y=\frac{-949}{45}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-4y=\frac{-83}{12}\\-x=-y+\frac{91}{60}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+6y=\frac{459}{70}\\-2x=-4y+\frac{139}{35}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{8}{7})\}\)
2. \(\left\{\begin{matrix}5x+2y=\frac{43}{11}\\-x-y=\frac{-5}{11}\end{matrix}\right.\qquad V=\{(1,\frac{-6}{11})\}\)
3. \(\left\{\begin{matrix}5y=\frac{-7}{16}-x\\6x+4y=\frac{-17}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{1}{16})\}\)
4. \(\left\{\begin{matrix}2y=\frac{-116}{45}-4x\\-x-5y=\frac{22}{9}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{-2}{5})\}\)
5. \(\left\{\begin{matrix}x-3y=62\\-4x-2y=18\end{matrix}\right.\qquad V=\{(5,-19)\}\)
6. \(\left\{\begin{matrix}2x+4y=\frac{851}{30}\\3x+y=\frac{553}{60}\end{matrix}\right.\qquad V=\{(\frac{17}{20},\frac{20}{3})\}\)
7. \(\left\{\begin{matrix}-6x-5y=\frac{10}{9}\\x+2y=\frac{10}{9}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{10}{9})\}\)
8. \(\left\{\begin{matrix}-6x-y=\frac{1022}{323}\\-5x+2y=\frac{1713}{323}\end{matrix}\right.\qquad V=\{(\frac{-13}{19},\frac{16}{17})\}\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{-11}{3}\\-x=-y+-1\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{1}{3})\}\)
10. \(\left\{\begin{matrix}4x+y=\frac{-311}{13}\\5x=5y+\frac{-395}{13}\end{matrix}\right.\qquad V=\{(-6,\frac{1}{13})\}\)
11. \(\left\{\begin{matrix}-y=\frac{949}{90}+3x\\6x+2y=\frac{-949}{45}\end{matrix}\right.\qquad V=\{(\frac{-16}{5},\frac{-17}{18})\}\)
12. \(\left\{\begin{matrix}5x-4y=\frac{-83}{12}\\-x=-y+\frac{91}{60}\end{matrix}\right.\qquad V=\{(\frac{-17}{20},\frac{2}{3})\}\)