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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+5y=-3\\6x+5y=\frac{79}{18}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+5y=17\\x=5y+3\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+2y=\frac{7}{5}\\x-5y=5\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-5y=\frac{25}{3}\\-x+3y=-4\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+y=\frac{289}{77}\\6x=4y+\frac{-988}{77}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-2y=16\\6x=-6y+-45\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{-47}{19}-x\\-2x+4y=\frac{-82}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-y=\frac{-33}{7}\\3x=-2y+\frac{17}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-y=\frac{1061}{117}\\5x=-4y+\frac{-1337}{117}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-3y=\frac{9}{5}\\3x=3y+\frac{39}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{68}{15}+2x\\-5x+y=\frac{71}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-3y=\frac{215}{7}\\4x-2y=\frac{120}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+5y=-3\\6x+5y=\frac{79}{18}\end{matrix}\right.\qquad V=\{(\frac{19}{18},\frac{-7}{18})\}\)
2. \(\left\{\begin{matrix}4x+5y=17\\x=5y+3\end{matrix}\right.\qquad V=\{(4,\frac{1}{5})\}\)
3. \(\left\{\begin{matrix}3x+2y=\frac{7}{5}\\x-5y=5\end{matrix}\right.\qquad V=\{(1,\frac{-4}{5})\}\)
4. \(\left\{\begin{matrix}5x-5y=\frac{25}{3}\\-x+3y=-4\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-7}{6})\}\)
5. \(\left\{\begin{matrix}-2x+y=\frac{289}{77}\\6x=4y+\frac{-988}{77}\end{matrix}\right.\qquad V=\{(\frac{-12}{11},\frac{11}{7})\}\)
6. \(\left\{\begin{matrix}-x-2y=16\\6x=-6y+-45\end{matrix}\right.\qquad V=\{(1,\frac{-17}{2})\}\)
7. \(\left\{\begin{matrix}6y=\frac{-47}{19}-x\\-2x+4y=\frac{-82}{19}\end{matrix}\right.\qquad V=\{(1,\frac{-11}{19})\}\)
8. \(\left\{\begin{matrix}2x-y=\frac{-33}{7}\\3x=-2y+\frac{17}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{19}{7})\}\)
9. \(\left\{\begin{matrix}-6x-y=\frac{1061}{117}\\5x=-4y+\frac{-1337}{117}\end{matrix}\right.\qquad V=\{(\frac{-17}{13},\frac{-11}{9})\}\)
10. \(\left\{\begin{matrix}x-3y=\frac{9}{5}\\3x=3y+\frac{39}{5}\end{matrix}\right.\qquad V=\{(3,\frac{2}{5})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{68}{15}+2x\\-5x+y=\frac{71}{15}\end{matrix}\right.\qquad V=\{(\frac{-16}{15},\frac{-3}{5})\}\)
12. \(\left\{\begin{matrix}-x-3y=\frac{215}{7}\\4x-2y=\frac{120}{7}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},-10)\}\)