4MA1/1H Jan 2021, Question 19: Simultaneous Equations with a Curve
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 5 marks
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The question, in short
Find the values of x and y that satisfy both given equations together, showing your algebraic method clearly.
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Solution · 5 marks
- 1From the second equation, x = 1 − 2y
- 2Substitute: (1 − 2y)² − 9y − (1 − 2y) = 2y² − 12
- 3Expand and simplify: 2y² − 11y + 12 = 0
- 4(2y − 3)(y − 4) = 0, so y = 3/2 or y = 4
- 5x = 1 − 2y gives x = −2, y = 3/2 and x = −7, y = 4
Answerx = −2, y = 3/2 and x = −7, y = 4
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