| Exam Board | OCR |
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| Module | Pure 1 (Pure Mathematics 1) |
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| Year | 2018 |
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| Session | December |
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| Topic | Exponential Equations & Modelling |
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4 In this question you must show detailed reasoning.
Solve the simultaneous equations
\(\mathrm { e } ^ { x } - 2 \mathrm { e } ^ { y } = 3\)
\(\mathrm { e } ^ { 2 x } - 4 \mathrm { e } ^ { 2 y } = 33\).
Give your answer in an exact form.