ECZ 2015 · O-Level Paper 1 — Algebra

Solve the simultaneous equations 5x − 8y = 4, 4x − 5y = 6.

  • A. x = 4, y = 2
  • B. x = 2, y = 4
  • C. x = −4, y = −2
  • D. x = 4, y = −2

Verified working — step 1

Multiply the first equation by 4 and the second by 5: 20x − 32y = 16 and 20x − 25y = 30. Subtracting gives 7y = 14, so y = 2. Then 5x − 16 = 4 gives x = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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