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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+2y=\frac{1}{8}\\-5x=4y+2\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+5y=25\\x=-5y+5\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+4y=\frac{116}{3}\\6x=y+\frac{-326}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+6y=\frac{-13}{3}\\-6x-y=\frac{-17}{18}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+2y=\frac{-14}{3}\\x=-5y+\frac{-53}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+2y=\frac{221}{20}\\x=y+\frac{163}{40}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+4y=\frac{-11}{4}\\2x-y=0\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-5y=\frac{-175}{3}\\-x+4y=\frac{83}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+5y=\frac{18}{5}\\-x=y+\frac{-8}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-y=\frac{200}{7}\\4x=-3y+\frac{198}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-y=2\\-4x+5y=-36\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+4y=\frac{24}{143}\\-6x=-2y+\frac{-1002}{143}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+2y=\frac{1}{8}\\-5x=4y+2\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{7}{16})\}\)
2. \(\left\{\begin{matrix}-3x+5y=25\\x=-5y+5\end{matrix}\right.\qquad V=\{(-5,2)\}\)
3. \(\left\{\begin{matrix}-2x+4y=\frac{116}{3}\\6x=y+\frac{-326}{3}\end{matrix}\right.\qquad V=\{(-18,\frac{2}{3})\}\)
4. \(\left\{\begin{matrix}6x+6y=\frac{-13}{3}\\-6x-y=\frac{-17}{18}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-19}{18})\}\)
5. \(\left\{\begin{matrix}-2x+2y=\frac{-14}{3}\\x=-5y+\frac{-53}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{-10}{3})\}\)
6. \(\left\{\begin{matrix}4x+2y=\frac{221}{20}\\x=y+\frac{163}{40}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{-7}{8})\}\)
7. \(\left\{\begin{matrix}3x+4y=\frac{-11}{4}\\2x-y=0\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-1}{2})\}\)
8. \(\left\{\begin{matrix}6x-5y=\frac{-175}{3}\\-x+4y=\frac{83}{3}\end{matrix}\right.\qquad V=\{(-5,\frac{17}{3})\}\)
9. \(\left\{\begin{matrix}3x+5y=\frac{18}{5}\\-x=y+\frac{-8}{15}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},1)\}\)
10. \(\left\{\begin{matrix}5x-y=\frac{200}{7}\\4x=-3y+\frac{198}{7}\end{matrix}\right.\qquad V=\{(6,\frac{10}{7})\}\)
11. \(\left\{\begin{matrix}6x-y=2\\-4x+5y=-36\end{matrix}\right.\qquad V=\{(-1,-8)\}\)
12. \(\left\{\begin{matrix}x+4y=\frac{24}{143}\\-6x=-2y+\frac{-1002}{143}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{-3}{13})\}\)