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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{16}{5}+2x\\4x+6y=\frac{-24}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{-41}{2}-x\\6x+2y=7\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-2y=\frac{7}{6}\\-3x=y+\frac{-7}{24}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{-177}{5}-6x\\3x-y=\frac{-203}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=-22-4x\\x+4y=\frac{-31}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{77}{17}-2x\\-2x-2y=\frac{-162}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-y=\frac{15}{4}\\2x-4y=\frac{27}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+6y=19\\3x-y=\frac{-15}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-2y=\frac{1}{6}\\x+3y=\frac{13}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{-45}{8}+2x\\-x+5y=\frac{-81}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-6y=\frac{81}{19}\\-3x-3y=\frac{53}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{-7}{38}+x\\6x+4y=\frac{151}{19}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{16}{5}+2x\\4x+6y=\frac{-24}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{1}{5})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{-41}{2}-x\\6x+2y=7\end{matrix}\right.\qquad V=\{(\frac{-1}{2},5)\}\)
3. \(\left\{\begin{matrix}-4x-2y=\frac{7}{6}\\-3x=y+\frac{-7}{24}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{-7}{3})\}\)
4. \(\left\{\begin{matrix}2y=\frac{-177}{5}-6x\\3x-y=\frac{-203}{10}\end{matrix}\right.\qquad V=\{(\frac{-19}{3},\frac{13}{10})\}\)
5. \(\left\{\begin{matrix}6y=-22-4x\\x+4y=\frac{-31}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},-4)\}\)
6. \(\left\{\begin{matrix}y=\frac{77}{17}-2x\\-2x-2y=\frac{-162}{17}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},5)\}\)
7. \(\left\{\begin{matrix}2x-y=\frac{15}{4}\\2x-4y=\frac{27}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-13}{4})\}\)
8. \(\left\{\begin{matrix}-6x+6y=19\\3x-y=\frac{-15}{2}\end{matrix}\right.\qquad V=\{(\frac{-13}{6},1)\}\)
9. \(\left\{\begin{matrix}4x-2y=\frac{1}{6}\\x+3y=\frac{13}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{11}{12})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{-45}{8}+2x\\-x+5y=\frac{-81}{8}\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{-9}{8})\}\)
11. \(\left\{\begin{matrix}-x-6y=\frac{81}{19}\\-3x-3y=\frac{53}{19}\end{matrix}\right.\qquad V=\{(\frac{-5}{19},\frac{-2}{3})\}\)
12. \(\left\{\begin{matrix}-5y=\frac{-7}{38}+x\\6x+4y=\frac{151}{19}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-5}{19})\}\)