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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{43}{4}-2x\\-5x+y=\frac{-13}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+2y=\frac{-124}{99}\\6x-y=\frac{313}{198}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+5y=\frac{-26}{55}\\x=4y+\frac{-76}{55}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+5y=\frac{125}{2}\\-3x+y=\frac{-89}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-y=\frac{-7}{60}\\-3x+3y=\frac{11}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+y=\frac{-239}{16}\\3x+3y=\frac{-717}{16}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+3y=\frac{8}{7}\\3x-2y=\frac{-121}{21}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-2y=\frac{85}{4}\\-x+4y=\frac{-15}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-3y=\frac{241}{14}\\-6x=-2y+\frac{-715}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+5y=\frac{139}{28}\\5x=6y+\frac{-297}{28}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{200}{77}+x\\5x-3y=\frac{-185}{154}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-4y=\frac{-22}{5}\\5x-2y=0\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{43}{4}-2x\\-5x+y=\frac{-13}{4}\end{matrix}\right.\qquad V=\{(1,\frac{7}{4})\}\)
2. \(\left\{\begin{matrix}-5x+2y=\frac{-124}{99}\\6x-y=\frac{313}{198}\end{matrix}\right.\qquad V=\{(\frac{3}{11},\frac{1}{18})\}\)
3. \(\left\{\begin{matrix}-4x+5y=\frac{-26}{55}\\x=4y+\frac{-76}{55}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{6}{11})\}\)
4. \(\left\{\begin{matrix}4x+5y=\frac{125}{2}\\-3x+y=\frac{-89}{2}\end{matrix}\right.\qquad V=\{(15,\frac{1}{2})\}\)
5. \(\left\{\begin{matrix}2x-y=\frac{-7}{60}\\-3x+3y=\frac{11}{20}\end{matrix}\right.\qquad V=\{(\frac{1}{15},\frac{1}{4})\}\)
6. \(\left\{\begin{matrix}x+y=\frac{-239}{16}\\3x+3y=\frac{-717}{16}\end{matrix}\right.\qquad V=\{(-16,\frac{17}{16})\}\)
7. \(\left\{\begin{matrix}-x+3y=\frac{8}{7}\\3x-2y=\frac{-121}{21}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},\frac{-1}{3})\}\)
8. \(\left\{\begin{matrix}3x-2y=\frac{85}{4}\\-x+4y=\frac{-15}{2}\end{matrix}\right.\qquad V=\{(7,\frac{-1}{8})\}\)
9. \(\left\{\begin{matrix}x-3y=\frac{241}{14}\\-6x=-2y+\frac{-715}{7}\end{matrix}\right.\qquad V=\{(17,\frac{-1}{14})\}\)
10. \(\left\{\begin{matrix}x+5y=\frac{139}{28}\\5x=6y+\frac{-297}{28}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{8}{7})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{200}{77}+x\\5x-3y=\frac{-185}{154}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},\frac{-5}{14})\}\)
12. \(\left\{\begin{matrix}-x-4y=\frac{-22}{5}\\5x-2y=0\end{matrix}\right.\qquad V=\{(\frac{2}{5},1)\}\)