passwella.
Menu

WAEC Mathematics 2021 Question 17

Question 17

Algebraic Expressions

Make U the subject of the relation: x = (2U − 3)/(3U + 2).

  1. A.U = (2x + 3)/(3x − 2)
  2. B.U = (2x − 3)/(3x − 2)
  3. C.U = (2x + 3)/(2 − 3x)
  4. D.U = (2x + 3)/(3x + 2)
Show the answer and explanation

Answer: C (U = (2x + 3)/(2 − 3x))

Explanation

3Ux + 2x = 2U − 3, so 3Ux − 2U = −3 − 2x and U(3x − 2) = −(2x + 3). Hence U = (2x + 3)/(2 − 3x).