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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-3y=\frac{27}{2}\\x=-6y+25\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+y=\frac{-230}{13}\\2x+3y=\frac{-530}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-6y=\frac{553}{60}\\3x+3y=\frac{-203}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-5y=\frac{54}{7}\\-2x=-2y+\frac{-52}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{-31}{12}-5x\\-x-5y=\frac{29}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{-218}{13}+6x\\x-2y=\frac{-164}{39}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-y=\frac{-371}{88}\\2x=3y+\frac{-177}{88}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-6y=\frac{-9}{2}\\-4x=-y+\frac{-5}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x-6y=\frac{177}{20}\\-x+6y=\frac{-179}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{-159}{5}-4x\\-x-3y=\frac{16}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-4y=\frac{82}{7}\\x=4y+\frac{37}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+5y=\frac{105}{2}\\2x=y+\frac{35}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-3y=\frac{27}{2}\\x=-6y+25\end{matrix}\right.\qquad V=\{(4,\frac{7}{2})\}\)
2. \(\left\{\begin{matrix}-6x+y=\frac{-230}{13}\\2x+3y=\frac{-530}{13}\end{matrix}\right.\qquad V=\{(\frac{8}{13},-14)\}\)
3. \(\left\{\begin{matrix}x-6y=\frac{553}{60}\\3x+3y=\frac{-203}{20}\end{matrix}\right.\qquad V=\{(\frac{-19}{12},\frac{-9}{5})\}\)
4. \(\left\{\begin{matrix}x-5y=\frac{54}{7}\\-2x=-2y+\frac{-52}{7}\end{matrix}\right.\qquad V=\{(\frac{19}{7},-1)\}\)
5. \(\left\{\begin{matrix}6y=\frac{-31}{12}-5x\\-x-5y=\frac{29}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{12},\frac{-1}{2})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{-218}{13}+6x\\x-2y=\frac{-164}{39}\end{matrix}\right.\qquad V=\{(\frac{6}{13},\frac{7}{3})\}\)
7. \(\left\{\begin{matrix}5x-y=\frac{-371}{88}\\2x=3y+\frac{-177}{88}\end{matrix}\right.\qquad V=\{(\frac{-9}{11},\frac{1}{8})\}\)
8. \(\left\{\begin{matrix}-5x-6y=\frac{-9}{2}\\-4x=-y+\frac{-5}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{1}{3})\}\)
9. \(\left\{\begin{matrix}3x-6y=\frac{177}{20}\\-x+6y=\frac{-179}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},\frac{-3}{2})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{-159}{5}-4x\\-x-3y=\frac{16}{5}\end{matrix}\right.\qquad V=\{(-7,\frac{19}{15})\}\)
11. \(\left\{\begin{matrix}6x-4y=\frac{82}{7}\\x=4y+\frac{37}{7}\end{matrix}\right.\qquad V=\{(\frac{9}{7},-1)\}\)
12. \(\left\{\begin{matrix}4x+5y=\frac{105}{2}\\2x=y+\frac{35}{2}\end{matrix}\right.\qquad V=\{(10,\frac{5}{2})\}\)