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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+6y=\frac{-41}{9}\\-x=-4y+\frac{17}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{175}{2}-5x\\x-y=\frac{35}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+5y=-6\\-3x=y+-1\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+3y=\frac{-119}{12}\\-x-2y=\frac{49}{36}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+4y=\frac{59}{11}\\-5x=2y+\frac{-15}{22}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-y=\frac{-431}{342}\\-4x-4y=\frac{-430}{171}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+5y=\frac{335}{119}\\-5x=-y+\frac{683}{119}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+6y=\frac{21}{17}\\3x=y+\frac{-143}{34}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{1158}{77}-6x\\-5x-y=\frac{-613}{77}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-4y=\frac{-72}{7}\\-x+3y=\frac{43}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+2y=\frac{-41}{4}\\-x=-3y+\frac{-87}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-2y=\frac{-362}{45}\\x=y+\frac{19}{45}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+6y=\frac{-41}{9}\\-x=-4y+\frac{17}{9}\end{matrix}\right.\qquad V=\{(\frac{19}{9},1)\}\)
2. \(\left\{\begin{matrix}-5y=\frac{175}{2}-5x\\x-y=\frac{35}{2}\end{matrix}\right.\qquad V=\{(17,\frac{-1}{2})\}\)
3. \(\left\{\begin{matrix}4x+5y=-6\\-3x=y+-1\end{matrix}\right.\qquad V=\{(1,-2)\}\)
4. \(\left\{\begin{matrix}5x+3y=\frac{-119}{12}\\-x-2y=\frac{49}{36}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{4}{9})\}\)
5. \(\left\{\begin{matrix}-x+4y=\frac{59}{11}\\-5x=2y+\frac{-15}{22}\end{matrix}\right.\qquad V=\{(\frac{-4}{11},\frac{5}{4})\}\)
6. \(\left\{\begin{matrix}x-y=\frac{-431}{342}\\-4x-4y=\frac{-430}{171}\end{matrix}\right.\qquad V=\{(\frac{-6}{19},\frac{17}{18})\}\)
7. \(\left\{\begin{matrix}-3x+5y=\frac{335}{119}\\-5x=-y+\frac{683}{119}\end{matrix}\right.\qquad V=\{(\frac{-20}{17},\frac{-1}{7})\}\)
8. \(\left\{\begin{matrix}-2x+6y=\frac{21}{17}\\3x=y+\frac{-143}{34}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-5}{17})\}\)
9. \(\left\{\begin{matrix}6y=\frac{1158}{77}-6x\\-5x-y=\frac{-613}{77}\end{matrix}\right.\qquad V=\{(\frac{15}{11},\frac{8}{7})\}\)
10. \(\left\{\begin{matrix}-3x-4y=\frac{-72}{7}\\-x+3y=\frac{43}{14}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{3}{2})\}\)
11. \(\left\{\begin{matrix}2x+2y=\frac{-41}{4}\\-x=-3y+\frac{-87}{8}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},-4)\}\)
12. \(\left\{\begin{matrix}-2x-2y=\frac{-362}{45}\\x=y+\frac{19}{45}\end{matrix}\right.\qquad V=\{(\frac{20}{9},\frac{9}{5})\}\)