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0580/23 Oct/Nov 2024, Question 11: Simultaneous Equations by Elimination

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 2 marks

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The question, in short

Solve the simultaneous equations 3p − 2q = 7 and p + 2q = 1 for p and q.

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Solution · 2 marks

  1. 1Add the equations: 4p = 8, so p = 2
  2. 22 + 2q = 1, so 2q = −1
  3. 3p = 2, q = −1/2

Answerp = 2, q = −1/2

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Also searched as: 0580/23/O/N/24 · 0580_w24_qp_23 · 0580 w24 23 · question 11.
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