4024/12 Oct/Nov 2022, Question 19: Solving Linear Equations
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
Solve the equation (3x − 1)/6 + (x + 2)/4 = 5/3 for x, showing working.
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Solution · 4 marks
- 1Common denominator 24: 4(3x − 1)/24 + 6(x + 2)/24 = 40/24
- 24(3x − 1) + 6(x + 2) = 40
- 312x − 4 + 6x + 12 = 40
- 418x = 40 + 4 − 12 = 32
- 5x = 32/18 = 16/9
Answer16/9 or 1 7/9
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