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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{149}{55}+4x\\-x-3y=\frac{-661}{220}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-4y=\frac{-29}{9}\\-x=-4y+\frac{95}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+5y=\frac{343}{78}\\-3x=-3y+\frac{47}{26}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+y=\frac{-31}{16}\\-4x=-6y+\frac{-13}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-y=\frac{202}{45}\\-6x=-2y+\frac{-178}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-2y=46\\4x+y=68\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=-30+6x\\5x+4y=6\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+5y=\frac{-19}{4}\\-3x=y+\frac{71}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{205}{12}+5x\\-4x-y=1\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+3y=\frac{-133}{5}\\x+3y=\frac{-13}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-y=\frac{31}{9}\\-5x+6y=\frac{-53}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{171}{8}-6x\\x-3y=\frac{137}{16}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{149}{55}+4x\\-x-3y=\frac{-661}{220}\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{9}{11})\}\)
2. \(\left\{\begin{matrix}-5x-4y=\frac{-29}{9}\\-x=-4y+\frac{95}{9}\end{matrix}\right.\qquad V=\{(\frac{-11}{9},\frac{7}{3})\}\)
3. \(\left\{\begin{matrix}x+5y=\frac{343}{78}\\-3x=-3y+\frac{47}{26}\end{matrix}\right.\qquad V=\{(\frac{3}{13},\frac{5}{6})\}\)
4. \(\left\{\begin{matrix}x+y=\frac{-31}{16}\\-4x=-6y+\frac{-13}{8}\end{matrix}\right.\qquad V=\{(-1,\frac{-15}{16})\}\)
5. \(\left\{\begin{matrix}2x-y=\frac{202}{45}\\-6x=-2y+\frac{-178}{15}\end{matrix}\right.\qquad V=\{(\frac{13}{9},\frac{-8}{5})\}\)
6. \(\left\{\begin{matrix}6x-2y=46\\4x+y=68\end{matrix}\right.\qquad V=\{(13,16)\}\)
7. \(\left\{\begin{matrix}-y=-30+6x\\5x+4y=6\end{matrix}\right.\qquad V=\{(6,-6)\}\)
8. \(\left\{\begin{matrix}2x+5y=\frac{-19}{4}\\-3x=y+\frac{71}{20}\end{matrix}\right.\qquad V=\{(-1,\frac{-11}{20})\}\)
9. \(\left\{\begin{matrix}-6y=\frac{205}{12}+5x\\-4x-y=1\end{matrix}\right.\qquad V=\{(\frac{7}{12},\frac{-10}{3})\}\)
10. \(\left\{\begin{matrix}4x+3y=\frac{-133}{5}\\x+3y=\frac{-13}{5}\end{matrix}\right.\qquad V=\{(-8,\frac{9}{5})\}\)
11. \(\left\{\begin{matrix}x-y=\frac{31}{9}\\-5x+6y=\frac{-53}{3}\end{matrix}\right.\qquad V=\{(3,\frac{-4}{9})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{171}{8}-6x\\x-3y=\frac{137}{16}\end{matrix}\right.\qquad V=\{(\frac{17}{16},\frac{-5}{2})\}\)