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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-4y=-10\\x-6y=-23\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-y=\frac{-133}{10}\\2x=5y+\frac{-19}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+6y=\frac{141}{38}\\6x+y=\frac{-183}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=\frac{178}{9}-4x\\x-6y=\frac{-5}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+2y=\frac{127}{51}\\x-5y=\frac{563}{255}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{-415}{171}-2x\\6x+y=\frac{-358}{57}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{83}{8}+2x\\x+4y=\frac{-9}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-y=\frac{31}{20}\\6x+5y=\frac{339}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+2y=\frac{722}{55}\\-2x+y=\frac{229}{55}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=27+4x\\-x-2y=10\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x+3y=\frac{1}{30}\\-6x=-y+\frac{53}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-3y=\frac{-229}{26}\\-5x-y=\frac{-203}{26}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-4y=-10\\x-6y=-23\end{matrix}\right.\qquad V=\{(4,\frac{9}{2})\}\)
2. \(\left\{\begin{matrix}3x-y=\frac{-133}{10}\\2x=5y+\frac{-19}{4}\end{matrix}\right.\qquad V=\{(\frac{-19}{4},\frac{-19}{20})\}\)
3. \(\left\{\begin{matrix}-5x+6y=\frac{141}{38}\\6x+y=\frac{-183}{19}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-12}{19})\}\)
4. \(\left\{\begin{matrix}4y=\frac{178}{9}-4x\\x-6y=\frac{-5}{3}\end{matrix}\right.\qquad V=\{(4,\frac{17}{18})\}\)
5. \(\left\{\begin{matrix}-5x+2y=\frac{127}{51}\\x-5y=\frac{563}{255}\end{matrix}\right.\qquad V=\{(\frac{-11}{15},\frac{-10}{17})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{-415}{171}-2x\\6x+y=\frac{-358}{57}\end{matrix}\right.\qquad V=\{(\frac{-19}{18},\frac{1}{19})\}\)
7. \(\left\{\begin{matrix}3y=\frac{83}{8}+2x\\x+4y=\frac{-9}{2}\end{matrix}\right.\qquad V=\{(-5,\frac{1}{8})\}\)
8. \(\left\{\begin{matrix}4x-y=\frac{31}{20}\\6x+5y=\frac{339}{20}\end{matrix}\right.\qquad V=\{(\frac{19}{20},\frac{9}{4})\}\)
9. \(\left\{\begin{matrix}-6x+2y=\frac{722}{55}\\-2x+y=\frac{229}{55}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{-7}{11})\}\)
10. \(\left\{\begin{matrix}5y=27+4x\\-x-2y=10\end{matrix}\right.\qquad V=\{(-8,-1)\}\)
11. \(\left\{\begin{matrix}-4x+3y=\frac{1}{30}\\-6x=-y+\frac{53}{10}\end{matrix}\right.\qquad V=\{(\frac{-17}{15},\frac{-3}{2})\}\)
12. \(\left\{\begin{matrix}-5x-3y=\frac{-229}{26}\\-5x-y=\frac{-203}{26}\end{matrix}\right.\qquad V=\{(\frac{19}{13},\frac{1}{2})\}\)