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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+4y=\frac{239}{6}\\-4x=3y+\frac{-215}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-5y=\frac{-323}{10}\\-6x=y+\frac{133}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-y=\frac{-439}{19}\\-2x+3y=\frac{-279}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+2y=\frac{-233}{22}\\-x=-6y+\frac{-461}{22}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-3y=-48\\-x-y=-23\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{131}{24}-5x\\-2x+y=\frac{-25}{48}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x-y=\frac{-7}{3}\\-5x-5y=\frac{65}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-4y=\frac{471}{38}\\x=-3y+\frac{25}{76}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-5y=\frac{13}{4}\\3x=-y+\frac{-91}{40}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-y=\frac{207}{26}\\5x=-2y+\frac{-1075}{52}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+4y=\frac{63}{5}\\-6x=-y+\frac{-131}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{-584}{133}+2x\\-x-6y=\frac{268}{133}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+4y=\frac{239}{6}\\-4x=3y+\frac{-215}{6}\end{matrix}\right.\qquad V=\{(\frac{11}{6},\frac{19}{2})\}\)
2. \(\left\{\begin{matrix}-4x-5y=\frac{-323}{10}\\-6x=y+\frac{133}{10}\end{matrix}\right.\qquad V=\{(\frac{-19}{5},\frac{19}{2})\}\)
3. \(\left\{\begin{matrix}-4x-y=\frac{-439}{19}\\-2x+3y=\frac{-279}{19}\end{matrix}\right.\qquad V=\{(6,\frac{-17}{19})\}\)
4. \(\left\{\begin{matrix}2x+2y=\frac{-233}{22}\\-x=-6y+\frac{-461}{22}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},\frac{-15}{4})\}\)
5. \(\left\{\begin{matrix}4x-3y=-48\\-x-y=-23\end{matrix}\right.\qquad V=\{(3,20)\}\)
6. \(\left\{\begin{matrix}-6y=\frac{131}{24}-5x\\-2x+y=\frac{-25}{48}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-19}{16})\}\)
7. \(\left\{\begin{matrix}3x-y=\frac{-7}{3}\\-5x-5y=\frac{65}{9}\end{matrix}\right.\qquad V=\{(\frac{-17}{18},\frac{-1}{2})\}\)
8. \(\left\{\begin{matrix}6x-4y=\frac{471}{38}\\x=-3y+\frac{25}{76}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{-9}{19})\}\)
9. \(\left\{\begin{matrix}-2x-5y=\frac{13}{4}\\3x=-y+\frac{-91}{40}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{-2}{5})\}\)
10. \(\left\{\begin{matrix}-2x-y=\frac{207}{26}\\5x=-2y+\frac{-1075}{52}\end{matrix}\right.\qquad V=\{(\frac{-19}{4},\frac{20}{13})\}\)
11. \(\left\{\begin{matrix}6x+4y=\frac{63}{5}\\-6x=-y+\frac{-131}{10}\end{matrix}\right.\qquad V=\{(\frac{13}{6},\frac{-1}{10})\}\)
12. \(\left\{\begin{matrix}4y=\frac{-584}{133}+2x\\-x-6y=\frac{268}{133}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{-10}{19})\}\)