JAMB Mathematics 1994 Question 14

Question 14

Linear and Simultaneous Equations

If a = 1, b = 3, solve for x in the equation a/(a − x) = b/(x − b)

  1. A.4/3
  2. B.2/3
  3. C.3/2
  4. D.3/4
Show the answer and explanation

Answer: C (3/2)

Explanation

Substitute: 1/(1 − x) = 3/(x − 3). Cross-multiply: x − 3 = 3 − 3x, so 4x = 6 and x = 3/2.