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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+2y=\frac{33}{140}\\-x=2y+\frac{331}{140}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+2y=\frac{113}{17}\\-x=4y+\frac{-163}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+5y=\frac{13}{16}\\x-6y=\frac{133}{24}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-6y=\frac{-169}{5}\\6x=-y+\frac{-211}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+5y=-3\\-x=2y+\frac{-8}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{-137}{171}-x\\3x-4y=\frac{-47}{57}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-6y=\frac{293}{10}\\-5x=-5y+\frac{-57}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{177}{88}-x\\-6x+5y=\frac{-1029}{88}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-6y=\frac{-40}{91}\\-x-y=\frac{75}{91}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-y=\frac{-85}{19}\\-6x-5y=\frac{-121}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=18+4x\\-5x-2y=\frac{-27}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x-6y=\frac{-252}{17}\\x+5y=\frac{74}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+2y=\frac{33}{140}\\-x=2y+\frac{331}{140}\end{matrix}\right.\qquad V=\{(\frac{-13}{20},\frac{-6}{7})\}\)
2. \(\left\{\begin{matrix}-4x+2y=\frac{113}{17}\\-x=4y+\frac{-163}{17}\end{matrix}\right.\qquad V=\{(\frac{-7}{17},\frac{5}{2})\}\)
3. \(\left\{\begin{matrix}3x+5y=\frac{13}{16}\\x-6y=\frac{133}{24}\end{matrix}\right.\qquad V=\{(\frac{17}{12},\frac{-11}{16})\}\)
4. \(\left\{\begin{matrix}5x-6y=\frac{-169}{5}\\6x=-y+\frac{-211}{5}\end{matrix}\right.\qquad V=\{(-7,\frac{-1}{5})\}\)
5. \(\left\{\begin{matrix}-5x+5y=-3\\-x=2y+\frac{-8}{5}\end{matrix}\right.\qquad V=\{(\frac{14}{15},\frac{1}{3})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{-137}{171}-x\\3x-4y=\frac{-47}{57}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{15}{19})\}\)
7. \(\left\{\begin{matrix}-x-6y=\frac{293}{10}\\-5x=-5y+\frac{-57}{2}\end{matrix}\right.\qquad V=\{(\frac{7}{10},-5)\}\)
8. \(\left\{\begin{matrix}-y=\frac{177}{88}-x\\-6x+5y=\frac{-1029}{88}\end{matrix}\right.\qquad V=\{(\frac{18}{11},\frac{-3}{8})\}\)
9. \(\left\{\begin{matrix}4x-6y=\frac{-40}{91}\\-x-y=\frac{75}{91}\end{matrix}\right.\qquad V=\{(\frac{-7}{13},\frac{-2}{7})\}\)
10. \(\left\{\begin{matrix}-6x-y=\frac{-85}{19}\\-6x-5y=\frac{-121}{19}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{9}{19})\}\)
11. \(\left\{\begin{matrix}y=18+4x\\-5x-2y=\frac{-27}{4}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},9)\}\)
12. \(\left\{\begin{matrix}-6x-6y=\frac{-252}{17}\\x+5y=\frac{74}{17}\end{matrix}\right.\qquad V=\{(2,\frac{8}{17})\}\)