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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{227}{17}-x\\-3x+2y=\frac{-443}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+4y=\frac{-65}{36}\\-4x-5y=\frac{1039}{144}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{473}{119}+3x\\-x-y=\frac{-324}{119}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+5y=\frac{25}{6}\\-x=-3y+\frac{29}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=-13-4x\\x+4y=-8\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{7}{2}+x\\4x+2y=-11\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x-2y=\frac{-309}{35}\\-3x=y+\frac{183}{35}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+4y=\frac{398}{19}\\-x-6y=\frac{-564}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{77}{20}-3x\\-x-5y=\frac{71}{12}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{-77}{20}-4x\\3x-y=\frac{-33}{40}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+5y=\frac{327}{52}\\3x=-2y+\frac{97}{52}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-5y=\frac{77}{13}\\6x=-4y+\frac{56}{65}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{227}{17}-x\\-3x+2y=\frac{-443}{17}\end{matrix}\right.\qquad V=\{(\frac{-11}{17},-14)\}\)
2. \(\left\{\begin{matrix}-x+4y=\frac{-65}{36}\\-4x-5y=\frac{1039}{144}\end{matrix}\right.\qquad V=\{(\frac{-17}{18},\frac{-11}{16})\}\)
3. \(\left\{\begin{matrix}2y=\frac{473}{119}+3x\\-x-y=\frac{-324}{119}\end{matrix}\right.\qquad V=\{(\frac{5}{17},\frac{17}{7})\}\)
4. \(\left\{\begin{matrix}4x+5y=\frac{25}{6}\\-x=-3y+\frac{29}{15}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{7}{10})\}\)
5. \(\left\{\begin{matrix}-3y=-13-4x\\x+4y=-8\end{matrix}\right.\qquad V=\{(-4,-1)\}\)
6. \(\left\{\begin{matrix}-y=\frac{7}{2}+x\\4x+2y=-11\end{matrix}\right.\qquad V=\{(-2,\frac{-3}{2})\}\)
7. \(\left\{\begin{matrix}3x-2y=\frac{-309}{35}\\-3x=y+\frac{183}{35}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},\frac{6}{5})\}\)
8. \(\left\{\begin{matrix}-3x+4y=\frac{398}{19}\\-x-6y=\frac{-564}{19}\end{matrix}\right.\qquad V=\{(\frac{-6}{19},5)\}\)
9. \(\left\{\begin{matrix}-3y=\frac{77}{20}-3x\\-x-5y=\frac{71}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{12},\frac{-6}{5})\}\)
10. \(\left\{\begin{matrix}6y=\frac{-77}{20}-4x\\3x-y=\frac{-33}{40}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-3}{8})\}\)
11. \(\left\{\begin{matrix}x+5y=\frac{327}{52}\\3x=-2y+\frac{97}{52}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{17}{13})\}\)
12. \(\left\{\begin{matrix}-x-5y=\frac{77}{13}\\6x=-4y+\frac{56}{65}\end{matrix}\right.\qquad V=\{(\frac{14}{13},\frac{-7}{5})\}\)