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Mathematics

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Running head: MATHEMATICS 1
Mathematics
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Running head: MATHEMATICS 1 Mathematics Student’s Name Institution Affiliation Solution We solve the equations simultaneously by substitution Given 𝑥² + 4𝑦² = 40… (i) and 𝑥𝑦 = 6… (ii), Breaking equation (i) down give 𝑥² + (2𝑦)² = 40 (𝑥 + 2𝑦)2 − 4𝑥𝑦 = 40, but 𝑥𝑦 = 6 from equation (ii) Therefore, (𝑥 + 2𝑦)2 − 4(6) = 40 (𝑥 + 2𝑦)2 − 24 = 40, simplifying (𝑥 + 2𝑦)2 = 16 Getting the square root on both sides, 𝑥 = 2𝑦 = 4 Name: Mathematics Description: ...
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