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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-3y=\frac{13}{6}\\-x=-y+\frac{17}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+y=\frac{67}{12}\\2x=2y+\frac{-85}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+6y=\frac{-656}{119}\\x+3y=\frac{-277}{119}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=-11+6x\\6x-y=-1\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=49+6x\\-x+y=\frac{38}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-6y=\frac{389}{5}\\6x+2y=\frac{-136}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+2y=\frac{-587}{119}\\6x=5y+\frac{813}{119}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{-115}{26}-5x\\x+2y=\frac{47}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+4y=-36\\-2x-y=33\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-y=\frac{-23}{8}\\-5x=-4y+\frac{145}{16}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{-314}{21}+4x\\-5x-5y=\frac{220}{21}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+y=\frac{-211}{16}\\2x=-4y+\frac{-113}{12}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-3y=\frac{13}{6}\\-x=-y+\frac{17}{12}\end{matrix}\right.\qquad V=\{(\frac{-11}{12},\frac{1}{2})\}\)
2. \(\left\{\begin{matrix}x+y=\frac{67}{12}\\2x=2y+\frac{-85}{6}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{19}{3})\}\)
3. \(\left\{\begin{matrix}-4x+6y=\frac{-656}{119}\\x+3y=\frac{-277}{119}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{-14}{17})\}\)
4. \(\left\{\begin{matrix}-5y=-11+6x\\6x-y=-1\end{matrix}\right.\qquad V=\{(\frac{1}{6},2)\}\)
5. \(\left\{\begin{matrix}3y=49+6x\\-x+y=\frac{38}{3}\end{matrix}\right.\qquad V=\{(\frac{-11}{3},9)\}\)
6. \(\left\{\begin{matrix}x-6y=\frac{389}{5}\\6x+2y=\frac{-136}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},-13)\}\)
7. \(\left\{\begin{matrix}x+2y=\frac{-587}{119}\\6x=5y+\frac{813}{119}\end{matrix}\right.\qquad V=\{(\frac{-11}{17},\frac{-15}{7})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{-115}{26}-5x\\x+2y=\frac{47}{13}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{3}{2})\}\)
9. \(\left\{\begin{matrix}2x+4y=-36\\-2x-y=33\end{matrix}\right.\qquad V=\{(-16,-1)\}\)
10. \(\left\{\begin{matrix}2x-y=\frac{-23}{8}\\-5x=-4y+\frac{145}{16}\end{matrix}\right.\qquad V=\{(\frac{-13}{16},\frac{5}{4})\}\)
11. \(\left\{\begin{matrix}y=\frac{-314}{21}+4x\\-5x-5y=\frac{220}{21}\end{matrix}\right.\qquad V=\{(\frac{18}{7},\frac{-14}{3})\}\)
12. \(\left\{\begin{matrix}3x+y=\frac{-211}{16}\\2x=-4y+\frac{-113}{12}\end{matrix}\right.\qquad V=\{(\frac{-13}{3},\frac{-3}{16})\}\)