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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-2y=\frac{43}{3}\\x=-3y+\frac{27}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{-155}{17}-3x\\x+3y=\frac{-43}{51}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-y=\frac{29}{9}\\-4x+2y=\frac{2}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+5y=\frac{-205}{19}\\6x=-5y+\frac{-100}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{4}{3}-2x\\x+4y=\frac{-16}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-2y=\frac{13}{18}\\-3x-6y=\frac{13}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{-356}{11}+5x\\x+y=\frac{124}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-6y=\frac{13}{4}\\4x-4y=-7\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-5y=\frac{35}{3}\\6x+6y=2\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{-100}{221}-4x\\3x+2y=\frac{486}{221}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{-73}{30}-4x\\2x+y=\frac{-229}{60}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{-344}{17}+3x\\3x+3y=\frac{396}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-2y=\frac{43}{3}\\x=-3y+\frac{27}{2}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{10}{3})\}\)
2. \(\left\{\begin{matrix}2y=\frac{-155}{17}-3x\\x+3y=\frac{-43}{51}\end{matrix}\right.\qquad V=\{(\frac{-11}{3},\frac{16}{17})\}\)
3. \(\left\{\begin{matrix}-x-y=\frac{29}{9}\\-4x+2y=\frac{2}{9}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{-19}{9})\}\)
4. \(\left\{\begin{matrix}-x+5y=\frac{-205}{19}\\6x=-5y+\frac{-100}{19}\end{matrix}\right.\qquad V=\{(\frac{15}{19},-2)\}\)
5. \(\left\{\begin{matrix}-4y=\frac{4}{3}-2x\\x+4y=\frac{-16}{3}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},-1)\}\)
6. \(\left\{\begin{matrix}-x-2y=\frac{13}{18}\\-3x-6y=\frac{13}{6}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-10}{9})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{-356}{11}+5x\\x+y=\frac{124}{11}\end{matrix}\right.\qquad V=\{(\frac{-8}{11},12)\}\)
8. \(\left\{\begin{matrix}x-6y=\frac{13}{4}\\4x-4y=-7\end{matrix}\right.\qquad V=\{(\frac{-11}{4},-1)\}\)
9. \(\left\{\begin{matrix}-x-5y=\frac{35}{3}\\6x+6y=2\end{matrix}\right.\qquad V=\{(\frac{10}{3},-3)\}\)
10. \(\left\{\begin{matrix}-y=\frac{-100}{221}-4x\\3x+2y=\frac{486}{221}\end{matrix}\right.\qquad V=\{(\frac{2}{17},\frac{12}{13})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{-73}{30}-4x\\2x+y=\frac{-229}{60}\end{matrix}\right.\qquad V=\{(\frac{-19}{12},\frac{-13}{20})\}\)
12. \(\left\{\begin{matrix}y=\frac{-344}{17}+3x\\3x+3y=\frac{396}{17}\end{matrix}\right.\qquad V=\{(7,\frac{13}{17})\}\)