4024/12 Oct/Nov 2020, Question 10: Simultaneous Equations by Elimination
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
Solve the pair of simultaneous equations 3x − 2y = 12 and 4x + y = 5, finding the values of x and y.
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Solution · 3 marks
- 1From 4x + y = 5: y = 5 − 4x
- 23x − 2(5 − 4x) = 12
- 33x − 10 + 8x = 12, so 11x = 22, x = 2
- 4y = 5 − 4 × 2 = −3
- 5x = 2, y = −3
Answerx = 2, y = −3
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