4MA1/2H Jun 2019, Question 15: Rearranging Formulas
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 4 marks
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The question, in short
Rearrange y = √((3x − 2)/(x + 1)) to make x the subject, showing the algebraic steps needed to isolate x.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 1y = (3x − 2) / (x + 1)
- 2y² = (3x − 2) / (x + 1)
- 3y² (x + 1) = 3x − 2
- 4y² x + y² = 3x − 2
- 5y² x − 3x = −2 − y²
- 6x(y² − 3) = −2 − y²
- 7x = (−2 − y²) / (y² − 3)
- 8x = (y² + 2) / (3 − y²)
Answer(y² + 2)/(3 − y²)
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