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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-y=\frac{-11}{2}\\-2x-5y=\frac{-41}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+y=\frac{-41}{2}\\-3x=5y+\frac{-29}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{638}{85}-6x\\-6x+y=\frac{-848}{85}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+3y=-4\\-x-y=\frac{16}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-4y=-5\\-x-3y=\frac{-87}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{2025}{112}+6x\\-x+y=\frac{299}{112}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-5y=\frac{20}{3}\\4x+y=\frac{-1}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{-11}{2}+4x\\-4x+2y=20\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+2y=\frac{522}{133}\\-6x+y=\frac{-1031}{133}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{85}{12}+x\\6x-5y=\frac{-163}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{239}{15}-2x\\4x-y=\frac{253}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-y=\frac{9}{4}\\-3x=2y+3\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-y=\frac{-11}{2}\\-2x-5y=\frac{-41}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{9}{2})\}\)
2. \(\left\{\begin{matrix}-3x+y=\frac{-41}{2}\\-3x=5y+\frac{-29}{2}\end{matrix}\right.\qquad V=\{(\frac{13}{2},-1)\}\)
3. \(\left\{\begin{matrix}-4y=\frac{638}{85}-6x\\-6x+y=\frac{-848}{85}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{14}{17})\}\)
4. \(\left\{\begin{matrix}5x+3y=-4\\-x-y=\frac{16}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-2}{3})\}\)
5. \(\left\{\begin{matrix}-5x-4y=-5\\-x-3y=\frac{-87}{10}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{7}{2})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{2025}{112}+6x\\-x+y=\frac{299}{112}\end{matrix}\right.\qquad V=\{(\frac{-20}{7},\frac{-3}{16})\}\)
7. \(\left\{\begin{matrix}-5x-5y=\frac{20}{3}\\4x+y=\frac{-1}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-5}{3})\}\)
8. \(\left\{\begin{matrix}-y=\frac{-11}{2}+4x\\-4x+2y=20\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{17}{2})\}\)
9. \(\left\{\begin{matrix}5x+2y=\frac{522}{133}\\-6x+y=\frac{-1031}{133}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{-17}{19})\}\)
10. \(\left\{\begin{matrix}y=\frac{85}{12}+x\\6x-5y=\frac{-163}{4}\end{matrix}\right.\qquad V=\{(\frac{-16}{3},\frac{7}{4})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{239}{15}-2x\\4x-y=\frac{253}{15}\end{matrix}\right.\qquad V=\{(\frac{19}{5},\frac{-5}{3})\}\)
12. \(\left\{\begin{matrix}-3x-y=\frac{9}{4}\\-3x=2y+3\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-3}{4})\}\)