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O-LevelAdditional MathematicsSimultaneous equations4037/11 · May/June 2018 · Q15 Marks

Solve the equations y − x = 4, x² + y² – 8x – 4y – 16 = 0.

  1. Solve the equations y − x = 4, x² + y² – 8x – 4y – 16 = 0.[5]

Mark scheme

Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.

  1. [M1] substitution of y = x + 4 or x = y − 4 and simplification to 3 terms.
  2. [A1] correct equation of the form ax² + bx + c = 0 or ay² + by + c = 0
  3. [M1] M1 dep
  4. [A2] A1 for each pair

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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, May/June 2018 Paper 1 Variant 1, question 1.

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