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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+5y=\frac{125}{42}\\-x+6y=\frac{115}{42}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{44}{7}-6x\\x+2y=\frac{79}{21}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+5y=20\\-x=-y+6\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+4y=\frac{224}{11}\\-3x=-y+\frac{-120}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-5y=\frac{212}{33}\\-4x-y=\frac{316}{33}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-2y=\frac{-11}{10}\\-5x=y+\frac{47}{60}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+5y=\frac{-119}{9}\\-5x=-y+\frac{-92}{45}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-3y=-23\\x=-4y+\frac{2}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{27}{2}-3x\\-6x+5y=92\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-6y=\frac{41}{2}\\-5x+y=\frac{-1}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{-235}{21}-2x\\-3x-y=\frac{785}{126}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-3y=\frac{93}{2}\\-5x=-y+\frac{-127}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+5y=\frac{125}{42}\\-x+6y=\frac{115}{42}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{3}{7})\}\)
2. \(\left\{\begin{matrix}6y=\frac{44}{7}-6x\\x+2y=\frac{79}{21}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{19}{7})\}\)
3. \(\left\{\begin{matrix}5x+5y=20\\-x=-y+6\end{matrix}\right.\qquad V=\{(-1,5)\}\)
4. \(\left\{\begin{matrix}4x+4y=\frac{224}{11}\\-3x=-y+\frac{-120}{11}\end{matrix}\right.\qquad V=\{(4,\frac{12}{11})\}\)
5. \(\left\{\begin{matrix}4x-5y=\frac{212}{33}\\-4x-y=\frac{316}{33}\end{matrix}\right.\qquad V=\{(\frac{-19}{11},\frac{-8}{3})\}\)
6. \(\left\{\begin{matrix}6x-2y=\frac{-11}{10}\\-5x=y+\frac{47}{60}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{1}{20})\}\)
7. \(\left\{\begin{matrix}2x+5y=\frac{-119}{9}\\-5x=-y+\frac{-92}{45}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{-13}{5})\}\)
8. \(\left\{\begin{matrix}-2x-3y=-23\\x=-4y+\frac{2}{3}\end{matrix}\right.\qquad V=\{(18,\frac{-13}{3})\}\)
9. \(\left\{\begin{matrix}y=\frac{27}{2}-3x\\-6x+5y=92\end{matrix}\right.\qquad V=\{(\frac{-7}{6},17)\}\)
10. \(\left\{\begin{matrix}6x-6y=\frac{41}{2}\\-5x+y=\frac{-1}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-17}{4})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{-235}{21}-2x\\-3x-y=\frac{785}{126}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},\frac{19}{18})\}\)
12. \(\left\{\begin{matrix}3x-3y=\frac{93}{2}\\-5x=-y+\frac{-127}{2}\end{matrix}\right.\qquad V=\{(12,\frac{-7}{2})\}\)