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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{323}{22}-3x\\x+5y=\frac{-323}{66}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+y=\frac{149}{11}\\-6x-5y=\frac{113}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x-6y=\frac{7}{5}\\-x=6y+\frac{-3}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=41+x\\-5x+4y=-27\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{38}{3}-x\\-2x-4y=\frac{-46}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-y=\frac{-73}{66}\\3x-5y=\frac{-221}{66}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-5y=\frac{-133}{15}\\-2x-y=\frac{-77}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-2y=\frac{75}{28}\\4x=y+\frac{81}{35}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-y=\frac{36}{17}\\-4x+2y=\frac{-44}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+y=\frac{-25}{6}\\-4x=6y+\frac{15}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+6y=\frac{-303}{70}\\-x=-5y+\frac{-89}{28}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+5y=\frac{-813}{34}\\x+6y=\frac{-471}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{323}{22}-3x\\x+5y=\frac{-323}{66}\end{matrix}\right.\qquad V=\{(\frac{17}{6},\frac{-17}{11})\}\)
2. \(\left\{\begin{matrix}-6x+y=\frac{149}{11}\\-6x-5y=\frac{113}{11}\end{matrix}\right.\qquad V=\{(\frac{-13}{6},\frac{6}{11})\}\)
3. \(\left\{\begin{matrix}-3x-6y=\frac{7}{5}\\-x=6y+\frac{-3}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{4}{15})\}\)
4. \(\left\{\begin{matrix}-5y=41+x\\-5x+4y=-27\end{matrix}\right.\qquad V=\{(-1,-8)\}\)
5. \(\left\{\begin{matrix}3y=\frac{38}{3}-x\\-2x-4y=\frac{-46}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},5)\}\)
6. \(\left\{\begin{matrix}-x-y=\frac{-73}{66}\\3x-5y=\frac{-221}{66}\end{matrix}\right.\qquad V=\{(\frac{3}{11},\frac{5}{6})\}\)
7. \(\left\{\begin{matrix}-3x-5y=\frac{-133}{15}\\-2x-y=\frac{-77}{15}\end{matrix}\right.\qquad V=\{(\frac{12}{5},\frac{1}{3})\}\)
8. \(\left\{\begin{matrix}-5x-2y=\frac{75}{28}\\4x=y+\frac{81}{35}\end{matrix}\right.\qquad V=\{(\frac{3}{20},\frac{-12}{7})\}\)
9. \(\left\{\begin{matrix}4x-y=\frac{36}{17}\\-4x+2y=\frac{-44}{17}\end{matrix}\right.\qquad V=\{(\frac{7}{17},\frac{-8}{17})\}\)
10. \(\left\{\begin{matrix}-4x+y=\frac{-25}{6}\\-4x=6y+\frac{15}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{-5}{3})\}\)
11. \(\left\{\begin{matrix}6x+6y=\frac{-303}{70}\\-x=-5y+\frac{-89}{28}\end{matrix}\right.\qquad V=\{(\frac{-1}{14},\frac{-13}{20})\}\)
12. \(\left\{\begin{matrix}2x+5y=\frac{-813}{34}\\x+6y=\frac{-471}{17}\end{matrix}\right.\qquad V=\{(\frac{-12}{17},\frac{-9}{2})\}\)