2024 IGCSE Additional Mathematics May/June 0606/11 Q9

2024 IGCSE Additional Mathematics May/June 0606/11 Q9

9 marks
  1. Solve the following simultaneous equations.
    \(\mathrm{e}^{x+y}\times\mathrm{e}^{3x-2y}=1\)
    \(x^2y=256\)[5]
  2. Solve the equation \(10\mathrm{e}^{(2x-1)}-11=6\mathrm{e}^{(1-2x)}\), giving your answer in exact form.[4]

Solution:

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Answer:(a) \(x=4,\ y=16\). (b) \(x=\dfrac{1+\ln\dfrac32}2\).

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