4024/23 May/Jun 2025, Question 20: Solving Linear Equations
Cambridge O Level Mathematics 4024 · Paper 23 (Calculator) · Calculator · 4 marks
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The question, in short
Solve the equation (3x)/(x − 1) + 4/(x + 2) = 3, stating the values of x that satisfy it.
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Solution · 4 marks
- 1Multiply by (x − 1)(x + 2): 3x(x + 2) + 4(x − 1) = 3(x − 1)(x + 2)
- 23x² + 6x + 4x − 4 = 3x² + 3x − 6
- 310x − 4 = 3x − 6
- 47x = −2
- 5x = −2/7
Answer−2/7
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