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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-4y=\frac{452}{63}\\3x-y=\frac{-23}{21}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{-569}{99}-5x\\-3x-y=\frac{656}{99}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{-1740}{323}+x\\6x-5y=\frac{3980}{323}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+y=\frac{-115}{18}\\2x=-4y+\frac{22}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+4y=\frac{-19}{6}\\6x+5y=\frac{95}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+2y=\frac{-2}{15}\\2x=y+\frac{16}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+4y=\frac{371}{34}\\-2x+y=\frac{451}{136}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+3y=\frac{-205}{34}\\4x=-2y+\frac{130}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+6y=-95\\-5x=-3y+-53\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+2y=-24\\-6x+y=-36\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+2y=\frac{129}{28}\\-2x+y=\frac{-68}{21}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{-23}{8}+2x\\-x+5y=\frac{41}{16}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-4y=\frac{452}{63}\\3x-y=\frac{-23}{21}\end{matrix}\right.\qquad V=\{(\frac{-13}{18},\frac{-15}{14})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{-569}{99}-5x\\-3x-y=\frac{656}{99}\end{matrix}\right.\qquad V=\{(\frac{-19}{11},\frac{-13}{9})\}\)
3. \(\left\{\begin{matrix}4y=\frac{-1740}{323}+x\\6x-5y=\frac{3980}{323}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{-20}{19})\}\)
4. \(\left\{\begin{matrix}-3x+y=\frac{-115}{18}\\2x=-4y+\frac{22}{9}\end{matrix}\right.\qquad V=\{(2,\frac{-7}{18})\}\)
5. \(\left\{\begin{matrix}x+4y=\frac{-19}{6}\\6x+5y=\frac{95}{3}\end{matrix}\right.\qquad V=\{(\frac{15}{2},\frac{-8}{3})\}\)
6. \(\left\{\begin{matrix}-2x+2y=\frac{-2}{15}\\2x=y+\frac{16}{15}\end{matrix}\right.\qquad V=\{(1,\frac{14}{15})\}\)
7. \(\left\{\begin{matrix}-3x+4y=\frac{371}{34}\\-2x+y=\frac{451}{136}\end{matrix}\right.\qquad V=\{(\frac{-8}{17},\frac{19}{8})\}\)
8. \(\left\{\begin{matrix}-x+3y=\frac{-205}{34}\\4x=-2y+\frac{130}{17}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-20}{17})\}\)
9. \(\left\{\begin{matrix}x+6y=-95\\-5x=-3y+-53\end{matrix}\right.\qquad V=\{(1,-16)\}\)
10. \(\left\{\begin{matrix}-3x+2y=-24\\-6x+y=-36\end{matrix}\right.\qquad V=\{(\frac{16}{3},-4)\}\)
11. \(\left\{\begin{matrix}3x+2y=\frac{129}{28}\\-2x+y=\frac{-68}{21}\end{matrix}\right.\qquad V=\{(\frac{19}{12},\frac{-1}{14})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{-23}{8}+2x\\-x+5y=\frac{41}{16}\end{matrix}\right.\qquad V=\{(\frac{-1}{16},\frac{1}{2})\}\)