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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-2y=\frac{-159}{26}\\-x=-6y+\frac{1111}{130}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-2y=\frac{-71}{10}\\x-5y=\frac{-311}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{199}{12}+4x\\-3x+y=\frac{263}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-5y=\frac{-53}{5}\\x+6y=\frac{59}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+4y=\frac{23}{11}\\-x=-6y+\frac{41}{22}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-3y=22\\-4x-y=\frac{32}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-2y=\frac{-168}{17}\\-x=y+\frac{-40}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-6y=\frac{-254}{7}\\-2x-5y=\frac{-737}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{-163}{21}-x\\5x-2y=\frac{109}{21}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-y=\frac{-87}{85}\\-4x=3y+\frac{-246}{85}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{-124}{15}-x\\2x+6y=\frac{-248}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=7-x\\3x+5y=-9\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-2y=\frac{-159}{26}\\-x=-6y+\frac{1111}{130}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{17}{13})\}\)
2. \(\left\{\begin{matrix}2x-2y=\frac{-71}{10}\\x-5y=\frac{-311}{20}\end{matrix}\right.\qquad V=\{(\frac{-11}{20},3)\}\)
3. \(\left\{\begin{matrix}-5y=\frac{199}{12}+4x\\-3x+y=\frac{263}{20}\end{matrix}\right.\qquad V=\{(\frac{-13}{3},\frac{3}{20})\}\)
4. \(\left\{\begin{matrix}3x-5y=\frac{-53}{5}\\x+6y=\frac{59}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},2)\}\)
5. \(\left\{\begin{matrix}-3x+4y=\frac{23}{11}\\-x=-6y+\frac{41}{22}\end{matrix}\right.\qquad V=\{(\frac{-4}{11},\frac{1}{4})\}\)
6. \(\left\{\begin{matrix}-6x-3y=22\\-4x-y=\frac{32}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},-4)\}\)
7. \(\left\{\begin{matrix}6x-2y=\frac{-168}{17}\\-x=y+\frac{-40}{17}\end{matrix}\right.\qquad V=\{(\frac{-11}{17},3)\}\)
8. \(\left\{\begin{matrix}x-6y=\frac{-254}{7}\\-2x-5y=\frac{-737}{21}\end{matrix}\right.\qquad V=\{(\frac{12}{7},\frac{19}{3})\}\)
9. \(\left\{\begin{matrix}2y=\frac{-163}{21}-x\\5x-2y=\frac{109}{21}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{-11}{3})\}\)
10. \(\left\{\begin{matrix}-x-y=\frac{-87}{85}\\-4x=3y+\frac{-246}{85}\end{matrix}\right.\qquad V=\{(\frac{-3}{17},\frac{6}{5})\}\)
11. \(\left\{\begin{matrix}3y=\frac{-124}{15}-x\\2x+6y=\frac{-248}{15}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-16}{5})\}\)
12. \(\left\{\begin{matrix}-5y=7-x\\3x+5y=-9\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-3}{2})\}\)