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O-LevelAdditional MathematicsSimultaneous equations4037/22 · Oct/Nov 2024 · Q13 Marks

Solve the following simultaneous equations. y/x = 3/2 y^4/x^5 = 27/16

Solve the following simultaneous equations. y/x = 3/2 y^4/x^5 = 27/16[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.

[M1] Correct elimination of one unknown e.g. (3/2)^4 x^4 / x^5 = 27/16 or (81/16) / x = 27/16 or 16y^4/((2y/3)^5) = 27/16 oe or 16y^4 = 27(32/243) oe
[A2] x = 3 and y = 9/2 oe and no other solutions [A1] for x = 3 or y = 9/2 oe

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About this question

Topic: Simultaneous equations, O-Level Additional Mathematics (syllabus 4037). Structured question, 3 marks.
Source: O-Level Additional Mathematics, Oct/Nov 2024 Paper 2 Variant 2, question 1.

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