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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-3y=\frac{233}{33}\\x+4y=\frac{-383}{66}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{113}{9}+x\\3x+6y=\frac{-83}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-5y=\frac{264}{7}\\-2x-y=\frac{60}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-2y=\frac{-1}{3}\\-2x=y+\frac{-1}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{-103}{3}+6x\\-x+2y=\frac{-17}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+3y=\frac{-11}{14}\\-x=y+\frac{17}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{-155}{19}+2x\\2x-3y=\frac{143}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=-49-5x\\3x+y=\frac{-73}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{19}{34}-5x\\6x-y=\frac{-118}{85}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+5y=\frac{-97}{6}\\x-5y=\frac{13}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+y=\frac{-81}{55}\\6x=-2y+\frac{-342}{55}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{-185}{99}-5x\\4x+y=\frac{-379}{99}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-3y=\frac{233}{33}\\x+4y=\frac{-383}{66}\end{matrix}\right.\qquad V=\{(\frac{-13}{6},\frac{-10}{11})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{113}{9}+x\\3x+6y=\frac{-83}{3}\end{matrix}\right.\qquad V=\{(-7,\frac{-10}{9})\}\)
3. \(\left\{\begin{matrix}-6x-5y=\frac{264}{7}\\-2x-y=\frac{60}{7}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},-6)\}\)
4. \(\left\{\begin{matrix}-4x-2y=\frac{-1}{3}\\-2x=y+\frac{-1}{6}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-7}{3})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{-103}{3}+6x\\-x+2y=\frac{-17}{6}\end{matrix}\right.\qquad V=\{(5,\frac{13}{12})\}\)
6. \(\left\{\begin{matrix}-4x+3y=\frac{-11}{14}\\-x=y+\frac{17}{7}\end{matrix}\right.\qquad V=\{(\frac{-13}{14},\frac{-3}{2})\}\)
7. \(\left\{\begin{matrix}-y=\frac{-155}{19}+2x\\2x-3y=\frac{143}{19}\end{matrix}\right.\qquad V=\{(4,\frac{3}{19})\}\)
8. \(\left\{\begin{matrix}6y=-49-5x\\3x+y=\frac{-73}{10}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-17}{2})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{19}{34}-5x\\6x-y=\frac{-118}{85}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{-7}{17})\}\)
10. \(\left\{\begin{matrix}-4x+5y=\frac{-97}{6}\\x-5y=\frac{13}{6}\end{matrix}\right.\qquad V=\{(\frac{14}{3},\frac{1}{2})\}\)
11. \(\left\{\begin{matrix}2x+y=\frac{-81}{55}\\6x=-2y+\frac{-342}{55}\end{matrix}\right.\qquad V=\{(\frac{-18}{11},\frac{9}{5})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{-185}{99}-5x\\4x+y=\frac{-379}{99}\end{matrix}\right.\qquad V=\{(\frac{-9}{11},\frac{-5}{9})\}\)