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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-5y=30\\-x+5y=-38\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+4y=\frac{-31}{16}\\6x=2y+\frac{-15}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{-46}{3}-6x\\5x+y=\frac{5}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+2y=\frac{-287}{15}\\x-y=\frac{191}{30}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+y=\frac{789}{77}\\-2x=3y+\frac{-431}{77}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-4y=\frac{-343}{68}\\4x=-4y+\frac{-63}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-5y=\frac{448}{323}\\x=y+\frac{110}{323}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-y=\frac{15}{2}\\4x+4y=\frac{-10}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{249}{34}+2x\\-5x-y=\frac{1077}{68}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-2y=\frac{21}{4}\\-x=6y+\frac{7}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+4y=-12\\-x-4y=33\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=-27-6x\\-2x+y=\frac{17}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-5y=30\\-x+5y=-38\end{matrix}\right.\qquad V=\{(-2,-8)\}\)
2. \(\left\{\begin{matrix}x+4y=\frac{-31}{16}\\6x=2y+\frac{-15}{8}\end{matrix}\right.\qquad V=\{(\frac{-7}{16},\frac{-3}{8})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{-46}{3}-6x\\5x+y=\frac{5}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{10}{3})\}\)
4. \(\left\{\begin{matrix}-4x+2y=\frac{-287}{15}\\x-y=\frac{191}{30}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{-19}{6})\}\)
5. \(\left\{\begin{matrix}6x+y=\frac{789}{77}\\-2x=3y+\frac{-431}{77}\end{matrix}\right.\qquad V=\{(\frac{11}{7},\frac{9}{11})\}\)
6. \(\left\{\begin{matrix}x-4y=\frac{-343}{68}\\4x=-4y+\frac{-63}{17}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{14}{17})\}\)
7. \(\left\{\begin{matrix}2x-5y=\frac{448}{323}\\x=y+\frac{110}{323}\end{matrix}\right.\qquad V=\{(\frac{2}{19},\frac{-4}{17})\}\)
8. \(\left\{\begin{matrix}-3x-y=\frac{15}{2}\\4x+4y=\frac{-10}{3}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{5}{2})\}\)
9. \(\left\{\begin{matrix}2y=\frac{249}{34}+2x\\-5x-y=\frac{1077}{68}\end{matrix}\right.\qquad V=\{(\frac{-13}{4},\frac{7}{17})\}\)
10. \(\left\{\begin{matrix}-5x-2y=\frac{21}{4}\\-x=6y+\frac{7}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{-1}{8})\}\)
11. \(\left\{\begin{matrix}-6x+4y=-12\\-x-4y=33\end{matrix}\right.\qquad V=\{(-3,\frac{-15}{2})\}\)
12. \(\left\{\begin{matrix}-2y=-27-6x\\-2x+y=\frac{17}{2}\end{matrix}\right.\qquad V=\{(-5,\frac{-3}{2})\}\)