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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-4y=24\\x=5y+-8\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+4y=\frac{-606}{95}\\2x=-6y+\frac{-1042}{95}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x-3y=\frac{5}{2}\\-x=-2y+\frac{23}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-5y=\frac{-351}{38}\\2x-5y=\frac{-261}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+5y=\frac{-155}{6}\\x-y=\frac{17}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-2y=\frac{-83}{2}\\-2x=-y+\frac{97}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=-1+4x\\-2x+5y=\frac{-103}{8}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+5y=\frac{79}{6}\\-x=5y+\frac{-49}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-6y=\frac{29}{2}\\-x=5y+1\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{-110}{39}+3x\\-4x-y=\frac{-190}{39}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+y=\frac{-407}{152}\\4x-2y=\frac{-167}{38}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-131}{3}-6x\\6x+y=\frac{-127}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-4y=24\\x=5y+-8\end{matrix}\right.\qquad V=\{(\frac{19}{2},\frac{7}{2})\}\)
2. \(\left\{\begin{matrix}x+4y=\frac{-606}{95}\\2x=-6y+\frac{-1042}{95}\end{matrix}\right.\qquad V=\{(\frac{-14}{5},\frac{-17}{19})\}\)
3. \(\left\{\begin{matrix}5x-3y=\frac{5}{2}\\-x=-2y+\frac{23}{10}\end{matrix}\right.\qquad V=\{(\frac{17}{10},2)\}\)
4. \(\left\{\begin{matrix}x-5y=\frac{-351}{38}\\2x-5y=\frac{-261}{19}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{18}{19})\}\)
5. \(\left\{\begin{matrix}2x+5y=\frac{-155}{6}\\x-y=\frac{17}{6}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-9}{2})\}\)
6. \(\left\{\begin{matrix}-5x-2y=\frac{-83}{2}\\-2x=-y+\frac{97}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{10},20)\}\)
7. \(\left\{\begin{matrix}-y=-1+4x\\-2x+5y=\frac{-103}{8}\end{matrix}\right.\qquad V=\{(\frac{13}{16},\frac{-9}{4})\}\)
8. \(\left\{\begin{matrix}-4x+5y=\frac{79}{6}\\-x=5y+\frac{-49}{6}\end{matrix}\right.\qquad V=\{(-1,\frac{11}{6})\}\)
9. \(\left\{\begin{matrix}-5x-6y=\frac{29}{2}\\-x=5y+1\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{1}{2})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{-110}{39}+3x\\-4x-y=\frac{-190}{39}\end{matrix}\right.\qquad V=\{(\frac{18}{13},\frac{-2}{3})\}\)
11. \(\left\{\begin{matrix}x+y=\frac{-407}{152}\\4x-2y=\frac{-167}{38}\end{matrix}\right.\qquad V=\{(\frac{-13}{8},\frac{-20}{19})\}\)
12. \(\left\{\begin{matrix}5y=\frac{-131}{3}-6x\\6x+y=\frac{-127}{3}\end{matrix}\right.\qquad V=\{(-7,\frac{-1}{3})\}\)