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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-4y=\frac{-33}{5}\\x+2y=\frac{43}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-5y=\frac{-415}{57}\\-6x+y=\frac{91}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{7}{5}+6x\\3x+y=\frac{-41}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-y=\frac{-7}{10}\\-6x=2y+\frac{-17}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{-181}{11}+6x\\-x-6y=\frac{1127}{55}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+3y=\frac{211}{10}\\4x-y=\frac{-259}{30}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{181}{2}-5x\\-4x-y=\frac{-751}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+6y=\frac{49}{15}\\x+5y=\frac{137}{90}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{-78}{55}+4x\\-x-y=\frac{103}{55}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-6y=\frac{177}{10}\\-x+6y=\frac{-29}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-y=\frac{-518}{171}\\6x=-4y+\frac{-728}{57}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+2y=-4\\-4x=-y+-4\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-4y=\frac{-33}{5}\\x+2y=\frac{43}{10}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{19}{10})\}\)
2. \(\left\{\begin{matrix}5x-5y=\frac{-415}{57}\\-6x+y=\frac{91}{19}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{15}{19})\}\)
3. \(\left\{\begin{matrix}2y=\frac{7}{5}+6x\\3x+y=\frac{-41}{10}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-17}{10})\}\)
4. \(\left\{\begin{matrix}-x-y=\frac{-7}{10}\\-6x=2y+\frac{-17}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{1}{5})\}\)
5. \(\left\{\begin{matrix}5y=\frac{-181}{11}+6x\\-x-6y=\frac{1127}{55}\end{matrix}\right.\qquad V=\{(\frac{-1}{11},\frac{-17}{5})\}\)
6. \(\left\{\begin{matrix}-3x+3y=\frac{211}{10}\\4x-y=\frac{-259}{30}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{13}{2})\}\)
7. \(\left\{\begin{matrix}5y=\frac{181}{2}-5x\\-4x-y=\frac{-751}{10}\end{matrix}\right.\qquad V=\{(19,\frac{-9}{10})\}\)
8. \(\left\{\begin{matrix}2x+6y=\frac{49}{15}\\x+5y=\frac{137}{90}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{-1}{18})\}\)
9. \(\left\{\begin{matrix}3y=\frac{-78}{55}+4x\\-x-y=\frac{103}{55}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{-14}{11})\}\)
10. \(\left\{\begin{matrix}-6x-6y=\frac{177}{10}\\-x+6y=\frac{-29}{5}\end{matrix}\right.\qquad V=\{(\frac{-17}{10},\frac{-5}{4})\}\)
11. \(\left\{\begin{matrix}2x-y=\frac{-518}{171}\\6x=-4y+\frac{-728}{57}\end{matrix}\right.\qquad V=\{(\frac{-16}{9},\frac{-10}{19})\}\)
12. \(\left\{\begin{matrix}-3x+2y=-4\\-4x=-y+-4\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-4}{5})\}\)