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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+2y=\frac{-172}{45}\\-x=-5y+\frac{-154}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{281}{17}-2x\\-x+2y=\frac{242}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-6y=-3\\-x=y+\frac{-1}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-3y=36\\5x-y=0\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+4y=\frac{-185}{22}\\-x+2y=\frac{281}{132}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{24}{5}+2x\\x+5y=\frac{-9}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+5y=\frac{107}{7}\\x=-3y+\frac{32}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{223}{16}-4x\\x+y=\frac{75}{16}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-4y=\frac{-683}{24}\\-x+3y=\frac{237}{16}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=6-2x\\-x-2y=-6\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{-45}{34}-3x\\3x+y=\frac{-11}{34}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+2y=\frac{-23}{15}\\-6x+3y=\frac{1}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+2y=\frac{-172}{45}\\-x=-5y+\frac{-154}{9}\end{matrix}\right.\qquad V=\{(\frac{-17}{9},\frac{-19}{5})\}\)
2. \(\left\{\begin{matrix}2y=\frac{281}{17}-2x\\-x+2y=\frac{242}{17}\end{matrix}\right.\qquad V=\{(\frac{13}{17},\frac{15}{2})\}\)
3. \(\left\{\begin{matrix}-6x-6y=-3\\-x=y+\frac{-1}{2}\end{matrix}\right.\qquad V=\{(\frac{-13}{2},7)\}\)
4. \(\left\{\begin{matrix}-3x-3y=36\\5x-y=0\end{matrix}\right.\qquad V=\{(-2,-10)\}\)
5. \(\left\{\begin{matrix}6x+4y=\frac{-185}{22}\\-x+2y=\frac{281}{132}\end{matrix}\right.\qquad V=\{(\frac{-19}{12},\frac{3}{11})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{24}{5}+2x\\x+5y=\frac{-9}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{-7}{10})\}\)
7. \(\left\{\begin{matrix}-6x+5y=\frac{107}{7}\\x=-3y+\frac{32}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{13}{7})\}\)
8. \(\left\{\begin{matrix}-3y=\frac{223}{16}-4x\\x+y=\frac{75}{16}\end{matrix}\right.\qquad V=\{(4,\frac{11}{16})\}\)
9. \(\left\{\begin{matrix}-6x-4y=\frac{-683}{24}\\-x+3y=\frac{237}{16}\end{matrix}\right.\qquad V=\{(\frac{19}{16},\frac{16}{3})\}\)
10. \(\left\{\begin{matrix}-2y=6-2x\\-x-2y=-6\end{matrix}\right.\qquad V=\{(4,1)\}\)
11. \(\left\{\begin{matrix}3y=\frac{-45}{34}-3x\\3x+y=\frac{-11}{34}\end{matrix}\right.\qquad V=\{(\frac{1}{17},\frac{-1}{2})\}\)
12. \(\left\{\begin{matrix}x+2y=\frac{-23}{15}\\-6x+3y=\frac{1}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-3}{5})\}\)