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UI Post-UTME Mathematics 2014 Question 30

Question 30

Linear and Simultaneous Equations

Find x in the system of linear equations: ax + by = p; rx + ty = q

  1. A.(pt − bq)/(at − br)
  2. B.(bp − aq)/(at − br)
  3. C.(pt − bq)/(ar − bt)
  4. D.(pq − ab)/(ab − rt)
Show the answer and explanation

Answer: A ((pt − bq)/(at − br))

Explanation

Eliminate y: multiply the first by t and the second by b and subtract: x(at − br) = pt − bq.