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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+3y=\frac{-123}{20}\\x=y+\frac{21}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{2019}{340}-6x\\-x+4y=\frac{-218}{85}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=-57-5x\\-6x-6y=54\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-2y=\frac{19}{2}\\-6x=-4y+93\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-6y=\frac{35}{6}\\4x=y+\frac{27}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-6y=\frac{26}{3}\\x+4y=\frac{-52}{45}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+4y=\frac{-27}{20}\\-6x-6y=\frac{9}{40}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{-32}{5}+2x\\x+6y=-4\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+2y=\frac{87}{10}\\2x+y=\frac{-57}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+2y=\frac{207}{8}\\x=5y+\frac{-261}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{-56}{5}+6x\\-x-3y=\frac{9}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+6y=\frac{-367}{51}\\-5x-5y=\frac{-785}{51}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+3y=\frac{-123}{20}\\x=y+\frac{21}{20}\end{matrix}\right.\qquad V=\{(1,\frac{-1}{20})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{2019}{340}-6x\\-x+4y=\frac{-218}{85}\end{matrix}\right.\qquad V=\{(\frac{13}{17},\frac{-9}{20})\}\)
3. \(\left\{\begin{matrix}y=-57-5x\\-6x-6y=54\end{matrix}\right.\qquad V=\{(-12,3)\}\)
4. \(\left\{\begin{matrix}-x-2y=\frac{19}{2}\\-6x=-4y+93\end{matrix}\right.\qquad V=\{(-14,\frac{9}{4})\}\)
5. \(\left\{\begin{matrix}-2x-6y=\frac{35}{6}\\4x=y+\frac{27}{4}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-17}{12})\}\)
6. \(\left\{\begin{matrix}5x-6y=\frac{26}{3}\\x+4y=\frac{-52}{45}\end{matrix}\right.\qquad V=\{(\frac{16}{15},\frac{-5}{9})\}\)
7. \(\left\{\begin{matrix}x+4y=\frac{-27}{20}\\-6x-6y=\frac{9}{40}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-7}{16})\}\)
8. \(\left\{\begin{matrix}6y=\frac{-32}{5}+2x\\x+6y=-4\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-4}{5})\}\)
9. \(\left\{\begin{matrix}-5x+2y=\frac{87}{10}\\2x+y=\frac{-57}{20}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{7}{20})\}\)
10. \(\left\{\begin{matrix}5x+2y=\frac{207}{8}\\x=5y+\frac{-261}{8}\end{matrix}\right.\qquad V=\{(\frac{19}{8},7)\}\)
11. \(\left\{\begin{matrix}4y=\frac{-56}{5}+6x\\-x-3y=\frac{9}{5}\end{matrix}\right.\qquad V=\{(\frac{6}{5},-1)\}\)
12. \(\left\{\begin{matrix}-x+6y=\frac{-367}{51}\\-5x-5y=\frac{-785}{51}\end{matrix}\right.\qquad V=\{(\frac{11}{3},\frac{-10}{17})\}\)