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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{-8}{3}-5x\\-5x-y=\frac{61}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+6y=\frac{12}{5}\\x+6y=\frac{21}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+2y=\frac{10}{9}\\-5x+y=\frac{7}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{17}{6}+x\\-6x+3y=\frac{31}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-3y=\frac{143}{14}\\4x=2y+\frac{122}{21}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-3y=\frac{-363}{80}\\-x+4y=\frac{409}{80}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=-17-3x\\-x+4y=15\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+2y=\frac{-149}{65}\\x+y=\frac{-129}{260}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-6y=\frac{104}{3}\\6x=y+12\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{-461}{57}+2x\\4x-y=\frac{787}{57}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-4y=21\\-3x=3y+9\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{55}{8}+5x\\-x-5y=\frac{-7}{8}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{-8}{3}-5x\\-5x-y=\frac{61}{6}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{3}{2})\}\)
2. \(\left\{\begin{matrix}-3x+6y=\frac{12}{5}\\x+6y=\frac{21}{5}\end{matrix}\right.\qquad V=\{(\frac{9}{20},\frac{5}{8})\}\)
3. \(\left\{\begin{matrix}-2x+2y=\frac{10}{9}\\-5x+y=\frac{7}{9}\end{matrix}\right.\qquad V=\{(\frac{-1}{18},\frac{1}{2})\}\)
4. \(\left\{\begin{matrix}5y=\frac{17}{6}+x\\-6x+3y=\frac{31}{5}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{2}{5})\}\)
5. \(\left\{\begin{matrix}-x-3y=\frac{143}{14}\\4x=2y+\frac{122}{21}\end{matrix}\right.\qquad V=\{(\frac{-3}{14},\frac{-10}{3})\}\)
6. \(\left\{\begin{matrix}3x-3y=\frac{-363}{80}\\-x+4y=\frac{409}{80}\end{matrix}\right.\qquad V=\{(\frac{-5}{16},\frac{6}{5})\}\)
7. \(\left\{\begin{matrix}-5y=-17-3x\\-x+4y=15\end{matrix}\right.\qquad V=\{(1,4)\}\)
8. \(\left\{\begin{matrix}4x+2y=\frac{-149}{65}\\x+y=\frac{-129}{260}\end{matrix}\right.\qquad V=\{(\frac{-13}{20},\frac{2}{13})\}\)
9. \(\left\{\begin{matrix}4x-6y=\frac{104}{3}\\6x=y+12\end{matrix}\right.\qquad V=\{(\frac{7}{6},-5)\}\)
10. \(\left\{\begin{matrix}3y=\frac{-461}{57}+2x\\4x-y=\frac{787}{57}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{-9}{19})\}\)
11. \(\left\{\begin{matrix}-x-4y=21\\-3x=3y+9\end{matrix}\right.\qquad V=\{(3,-6)\}\)
12. \(\left\{\begin{matrix}5y=\frac{55}{8}+5x\\-x-5y=\frac{-7}{8}\end{matrix}\right.\qquad V=\{(-1,\frac{3}{8})\}\)