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Here is Spencer’s method to make $q$ the subject of the formula - Edexcel - GCSE Maths - Question 13 - 2019 - Paper 1

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Here is Spencer’s method to make $q$ the subject of the formula. $$2 \times T = q + 5$$ $$q = 2T - 5$$ What mistake did Spencer make in the first line of his meth... show full transcript

Worked Solution & Example Answer:Here is Spencer’s method to make $q$ the subject of the formula - Edexcel - GCSE Maths - Question 13 - 2019 - Paper 1

Step 1

What mistake did Spencer make in the first line of his method?

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Answer

In the first line of his method, Spencer made the mistake of not correctly isolating qq. He incorrectly multiplied both terms by 2 without applying the same operation to both sides of the equation. The correct approach would be to multiply the entire equation by 2 to get:

2×(T−q2)=2×52 \times (T - \frac{q}{2}) = 2 \times 5

This leads to:

2T−q=102T - q = 10

Thus, Spencer missed the proper manipulation of the entire equation.

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