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O-LevelAdditional MathematicsSimultaneous equations4037/22 · Oct/Nov 2022 · Q15 Marks

Solve the following simultaneous equations. x+5y=-4 3y-xy = 6

  1. Solve the following simultaneous equations. x+5y=-4 3y-xy = 6[5]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.

  1. [M1] 3y-(-5y-4)y = 6 oe
  2. [M1] or 3((-4-x)/5) - x((-4-x)/5) = 6
  3. [M1] or x+5(6/(3-x)) = -4 oe
  4. [A1] 5y² +7y-6=0
  5. [A1] or x²+x-42 = 0
  6. [M1] Factorises their 3-term quadratic expression or solves their 3-term quadratic equation, e.g. (5y - 3)(y + 2) [= 0] or (x - 6)(x + 7) [= 0]
  7. [A2] x = 6, y = -2
  8. [A2] x = -7, y = 0.6

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About this question

Topic
Simultaneous equations, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2022 Paper 2 Variant 2, question 1.

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