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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-2y=\frac{-1}{9}\\-6x+y=\frac{-25}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-y=\frac{56}{9}\\-2x=4y+\frac{394}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-29}{4}-3x\\x+5y=\frac{-73}{12}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-6y=\frac{1}{4}\\-x=5y+1\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{-59}{3}-4x\\-4x-y=\frac{142}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=4+x\\5x-5y=\frac{-25}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-5y=\frac{-85}{14}\\-x-4y=\frac{-131}{14}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-y=\frac{619}{30}\\-6x+2y=\frac{-153}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+5y=3\\x=-4y+\frac{34}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+3y=\frac{679}{195}\\x=4y+\frac{-329}{195}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+y=\frac{17}{5}\\5x-4y=\frac{-17}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+y=\frac{-343}{156}\\3x-4y=\frac{229}{39}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-2y=\frac{-1}{9}\\-6x+y=\frac{-25}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-7}{9})\}\)
2. \(\left\{\begin{matrix}2x-y=\frac{56}{9}\\-2x=4y+\frac{394}{9}\end{matrix}\right.\qquad V=\{(\frac{-17}{9},-10)\}\)
3. \(\left\{\begin{matrix}3y=\frac{-29}{4}-3x\\x+5y=\frac{-73}{12}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-11}{12})\}\)
4. \(\left\{\begin{matrix}-5x-6y=\frac{1}{4}\\-x=5y+1\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-1}{4})\}\)
5. \(\left\{\begin{matrix}6y=\frac{-59}{3}-4x\\-4x-y=\frac{142}{9}\end{matrix}\right.\qquad V=\{(\frac{-15}{4},\frac{-7}{9})\}\)
6. \(\left\{\begin{matrix}2y=4+x\\5x-5y=\frac{-25}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{3}{2})\}\)
7. \(\left\{\begin{matrix}-5x-5y=\frac{-85}{14}\\-x-4y=\frac{-131}{14}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{19}{7})\}\)
8. \(\left\{\begin{matrix}4x-y=\frac{619}{30}\\-6x+2y=\frac{-153}{5}\end{matrix}\right.\qquad V=\{(\frac{16}{3},\frac{7}{10})\}\)
9. \(\left\{\begin{matrix}4x+5y=3\\x=-4y+\frac{34}{5}\end{matrix}\right.\qquad V=\{(-2,\frac{11}{5})\}\)
10. \(\left\{\begin{matrix}4x+3y=\frac{679}{195}\\x=4y+\frac{-329}{195}\end{matrix}\right.\qquad V=\{(\frac{7}{15},\frac{7}{13})\}\)
11. \(\left\{\begin{matrix}3x+y=\frac{17}{5}\\5x-4y=\frac{-17}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{8}{5})\}\)
12. \(\left\{\begin{matrix}4x+y=\frac{-343}{156}\\3x-4y=\frac{229}{39}\end{matrix}\right.\qquad V=\{(\frac{-2}{13},\frac{-19}{12})\}\)