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JAMB Mathematics 1998 Question 22

Question 22

Binary Operations

The binary operation ∗ is defined by x∗y = xy − y − x for all real values x and y. If x∗3 = 2∗x, find x.

  1. A.−1
  2. B.0
  3. C.1
  4. D.5
Show the answer and explanation

Answer: C (1)

Explanation

x∗3 = 3x − 3 − x = 2x − 3 and 2∗x = 2x − x − 2 = x − 2. So 2x − 3 = x − 2, giving x = 1.