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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+y=\frac{43}{9}\\-2x=-5y+\frac{83}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=-13+x\\4x+5y=\frac{-13}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{711}{154}+5x\\-x+4y=\frac{411}{154}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+6y=\frac{-101}{7}\\x+y=\frac{-101}{42}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{-43}{2}-4x\\x-y=\frac{-13}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+y=\frac{59}{10}\\-2x+5y=\frac{1327}{30}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+4y=\frac{752}{55}\\2x+y=\frac{238}{55}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+5y=\frac{-142}{9}\\3x=y+\frac{286}{45}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=-47-x\\-6x+2y=-70\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-2y=\frac{11}{2}\\-x+y=\frac{-19}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-y=50\\-4x-4y=-72\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=6+4x\\-2x-y=\frac{3}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+y=\frac{43}{9}\\-2x=-5y+\frac{83}{9}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{19}{9})\}\)
2. \(\left\{\begin{matrix}2y=-13+x\\4x+5y=\frac{-13}{2}\end{matrix}\right.\qquad V=\{(4,\frac{-9}{2})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{711}{154}+5x\\-x+4y=\frac{411}{154}\end{matrix}\right.\qquad V=\{(\frac{-17}{14},\frac{4}{11})\}\)
4. \(\left\{\begin{matrix}6x+6y=\frac{-101}{7}\\x+y=\frac{-101}{42}\end{matrix}\right.\qquad V=\{(\frac{-11}{7},\frac{-5}{6})\}\)
5. \(\left\{\begin{matrix}5y=\frac{-43}{2}-4x\\x-y=\frac{-13}{2}\end{matrix}\right.\qquad V=\{(-6,\frac{1}{2})\}\)
6. \(\left\{\begin{matrix}3x+y=\frac{59}{10}\\-2x+5y=\frac{1327}{30}\end{matrix}\right.\qquad V=\{(\frac{-13}{15},\frac{17}{2})\}\)
7. \(\left\{\begin{matrix}-2x+4y=\frac{752}{55}\\2x+y=\frac{238}{55}\end{matrix}\right.\qquad V=\{(\frac{4}{11},\frac{18}{5})\}\)
8. \(\left\{\begin{matrix}-5x+5y=\frac{-142}{9}\\3x=y+\frac{286}{45}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{-14}{9})\}\)
9. \(\left\{\begin{matrix}5y=-47-x\\-6x+2y=-70\end{matrix}\right.\qquad V=\{(8,-11)\}\)
10. \(\left\{\begin{matrix}5x-2y=\frac{11}{2}\\-x+y=\frac{-19}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{-9}{2})\}\)
11. \(\left\{\begin{matrix}3x-y=50\\-4x-4y=-72\end{matrix}\right.\qquad V=\{(17,1)\}\)
12. \(\left\{\begin{matrix}-3y=6+4x\\-2x-y=\frac{3}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{4},-3)\}\)