4024/11 Oct/Nov 2023, Question 24: Solving Linear Equations
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
Solve the equation 3x ÷ (x + 1) − 2 ÷ (x − 1) = 3, showing working for full marks.
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Solution · 4 marks
- 1Multiply by (x + 1)(x − 1): 3x(x − 1) − 2(x + 1) = 3(x + 1)(x − 1)
- 23x² − 3x − 2x − 2 = 3x² − 3
- 3−5x − 2 = −3
- 4−5x = −1, so x = 1/5
Answer1/5
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Also searched as: 4024/11/O/N/23 · 4024_w23_qp_11 · 4024 w23 11 · question 24.
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