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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-3y=\frac{-232}{57}\\-5x=-y+\frac{-404}{57}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-6y=\frac{127}{5}\\3x=-y+\frac{-2}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x+2y=\frac{-20}{3}\\-3x-5y=\frac{-295}{12}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=-9+6x\\-x+2y=0\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{-153}{22}+x\\-5x+2y=\frac{442}{33}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-y=\frac{-1}{7}\\4x+5y=\frac{-9}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+5y=\frac{155}{51}\\-5x=-6y+\frac{43}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+5y=\frac{5}{8}\\x=5y+\frac{49}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+y=\frac{109}{187}\\2x+5y=\frac{677}{187}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-6y=\frac{67}{10}\\-5x=-3y+\frac{35}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{-131}{12}+2x\\-4x-y=\frac{-95}{24}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-y=\frac{-893}{130}\\-6x=-5y+\frac{323}{26}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-3y=\frac{-232}{57}\\-5x=-y+\frac{-404}{57}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-8}{19})\}\)
2. \(\left\{\begin{matrix}5x-6y=\frac{127}{5}\\3x=-y+\frac{-2}{5}\end{matrix}\right.\qquad V=\{(1,\frac{-17}{5})\}\)
3. \(\left\{\begin{matrix}-x+2y=\frac{-20}{3}\\-3x-5y=\frac{-295}{12}\end{matrix}\right.\qquad V=\{(\frac{15}{2},\frac{5}{12})\}\)
4. \(\left\{\begin{matrix}3y=-9+6x\\-x+2y=0\end{matrix}\right.\qquad V=\{(2,1)\}\)
5. \(\left\{\begin{matrix}-3y=\frac{-153}{22}+x\\-5x+2y=\frac{442}{33}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},\frac{17}{6})\}\)
6. \(\left\{\begin{matrix}-x-y=\frac{-1}{7}\\4x+5y=\frac{-9}{7}\end{matrix}\right.\qquad V=\{(2,\frac{-13}{7})\}\)
7. \(\left\{\begin{matrix}-x+5y=\frac{155}{51}\\-5x=-6y+\frac{43}{17}\end{matrix}\right.\qquad V=\{(\frac{5}{17},\frac{2}{3})\}\)
8. \(\left\{\begin{matrix}5x+5y=\frac{5}{8}\\x=5y+\frac{49}{8}\end{matrix}\right.\qquad V=\{(\frac{9}{8},-1)\}\)
9. \(\left\{\begin{matrix}x+y=\frac{109}{187}\\2x+5y=\frac{677}{187}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},\frac{9}{11})\}\)
10. \(\left\{\begin{matrix}-x-6y=\frac{67}{10}\\-5x=-3y+\frac{35}{4}\end{matrix}\right.\qquad V=\{(\frac{-11}{5},\frac{-3}{4})\}\)
11. \(\left\{\begin{matrix}6y=\frac{-131}{12}+2x\\-4x-y=\frac{-95}{24}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-11}{8})\}\)
12. \(\left\{\begin{matrix}5x-y=\frac{-893}{130}\\-6x=-5y+\frac{323}{26}\end{matrix}\right.\qquad V=\{(\frac{-15}{13},\frac{11}{10})\}\)