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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+4y=\frac{53}{6}\\-4x=-y+\frac{-14}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-6y=\frac{11}{12}\\-x=2y+\frac{49}{72}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{-571}{72}-5x\\6x+4y=\frac{-197}{36}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{-28}{3}-x\\-3x-4y=19\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{14}{3}+4x\\-2x-y=\frac{13}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-5y=\frac{-10}{13}\\-x=-6y+\frac{77}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+4y=\frac{100}{9}\\4x+y=\frac{35}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{-77}{8}+5x\\-2x+y=\frac{-5}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-y=\frac{35}{19}\\4x+3y=\frac{-73}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-3y=\frac{-812}{323}\\x=y+\frac{-372}{323}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x+y=\frac{103}{34}\\2x=-5y+\frac{-279}{68}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-6y=\frac{149}{11}\\x=-y+\frac{-71}{22}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+4y=\frac{53}{6}\\-4x=-y+\frac{-14}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{16}{3})\}\)
2. \(\left\{\begin{matrix}-2x-6y=\frac{11}{12}\\-x=2y+\frac{49}{72}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{2}{9})\}\)
3. \(\left\{\begin{matrix}y=\frac{-571}{72}-5x\\6x+4y=\frac{-197}{36}\end{matrix}\right.\qquad V=\{(\frac{-15}{8},\frac{13}{9})\}\)
4. \(\left\{\begin{matrix}2y=\frac{-28}{3}-x\\-3x-4y=19\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-9}{2})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{14}{3}+4x\\-2x-y=\frac{13}{6}\end{matrix}\right.\qquad V=\{(-1,\frac{-1}{6})\}\)
6. \(\left\{\begin{matrix}5x-5y=\frac{-10}{13}\\-x=-6y+\frac{77}{13}\end{matrix}\right.\qquad V=\{(1,\frac{15}{13})\}\)
7. \(\left\{\begin{matrix}6x+4y=\frac{100}{9}\\4x+y=\frac{35}{9}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{19}{9})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{-77}{8}+5x\\-2x+y=\frac{-5}{4}\end{matrix}\right.\qquad V=\{(\frac{9}{8},1)\}\)
9. \(\left\{\begin{matrix}-4x-y=\frac{35}{19}\\4x+3y=\frac{-73}{19}\end{matrix}\right.\qquad V=\{(\frac{-4}{19},-1)\}\)
10. \(\left\{\begin{matrix}2x-3y=\frac{-812}{323}\\x=y+\frac{-372}{323}\end{matrix}\right.\qquad V=\{(\frac{-16}{17},\frac{4}{19})\}\)
11. \(\left\{\begin{matrix}-4x+y=\frac{103}{34}\\2x=-5y+\frac{-279}{68}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{-8}{17})\}\)
12. \(\left\{\begin{matrix}2x-6y=\frac{149}{11}\\x=-y+\frac{-71}{22}\end{matrix}\right.\qquad V=\{(\frac{-8}{11},\frac{-5}{2})\}\)