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WAEC Mathematics 2023 Question 39

Question 39

Linear and Simultaneous Equations

If 2x − 3y = −11 and 3x + 2y = 3, evaluate (y − x)2.

  1. A.4
  2. B.9
  3. C.16
  4. D.25
Show the answer and explanation

Answer: C (16)

Explanation

Multiply to get 4x − 6y = −22 and 9x + 6y = 9; adding gives 13x = −13, so x = −1 and y = 3. (y − x)² = 4² = 16.