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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+6y=\frac{621}{16}\\-4x-6y=\frac{-141}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{215}{36}-5x\\x+y=\frac{43}{36}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-4y=\frac{-416}{63}\\-3x=-2y+\frac{4}{21}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-5y=\frac{34}{5}\\x+5y=\frac{-8}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-2y=\frac{-378}{17}\\5x+y=\frac{939}{34}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+2y=-5\\6x+y=2\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+2y=\frac{670}{221}\\x=2y+\frac{758}{221}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{-158}{21}+4x\\-x-2y=\frac{-17}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+2y=\frac{-332}{119}\\-5x=-y+\frac{-558}{119}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-3y=\frac{42}{5}\\x=3y+\frac{6}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{62}{17}+4x\\-6x+5y=\frac{72}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{62}{9}-4x\\-x+6y=\frac{-38}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+6y=\frac{621}{16}\\-4x-6y=\frac{-141}{4}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{20}{3})\}\)
2. \(\left\{\begin{matrix}5y=\frac{215}{36}-5x\\x+y=\frac{43}{36}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{-5}{9})\}\)
3. \(\left\{\begin{matrix}-x-4y=\frac{-416}{63}\\-3x=-2y+\frac{4}{21}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{10}{7})\}\)
4. \(\left\{\begin{matrix}-3x-5y=\frac{34}{5}\\x+5y=\frac{-8}{5}\end{matrix}\right.\qquad V=\{(\frac{-13}{5},\frac{1}{5})\}\)
5. \(\left\{\begin{matrix}-4x-2y=\frac{-378}{17}\\5x+y=\frac{939}{34}\end{matrix}\right.\qquad V=\{(\frac{11}{2},\frac{2}{17})\}\)
6. \(\left\{\begin{matrix}-6x+2y=-5\\6x+y=2\end{matrix}\right.\qquad V=\{(\frac{1}{2},-1)\}\)
7. \(\left\{\begin{matrix}5x+2y=\frac{670}{221}\\x=2y+\frac{758}{221}\end{matrix}\right.\qquad V=\{(\frac{14}{13},\frac{-20}{17})\}\)
8. \(\left\{\begin{matrix}2y=\frac{-158}{21}+4x\\-x-2y=\frac{-17}{21}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-3}{7})\}\)
9. \(\left\{\begin{matrix}-2x+2y=\frac{-332}{119}\\-5x=-y+\frac{-558}{119}\end{matrix}\right.\qquad V=\{(\frac{14}{17},\frac{-4}{7})\}\)
10. \(\left\{\begin{matrix}-3x-3y=\frac{42}{5}\\x=3y+\frac{6}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},-1)\}\)
11. \(\left\{\begin{matrix}y=\frac{62}{17}+4x\\-6x+5y=\frac{72}{17}\end{matrix}\right.\qquad V=\{(-1,\frac{-6}{17})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{62}{9}-4x\\-x+6y=\frac{-38}{9}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{-5}{9})\}\)