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JAMB Mathematics 2023 Question 17

Question 17

Algebraic Expressions

Make m the subject of the formula P = 1 − a/5 (b + 3/7 m)

  1. A.m = −(7b/3 + 5/a(p − 1))
  2. B.m = 7/3[b − 5/a(p − 1)]
  3. C.m = −7/3[b + 5/a(p − 1)]
  4. D.m = −7/3[b + (5p − 1)/a]
Show the answer and explanation

Answer: C (m = −7/3[b + 5/a(p − 1)])

Explanation

(a/5)(b + 3m/7) = 1 − P, so b + 3m/7 = 5(1 − P)/a. Then 3m/7 = −[b + 5(P − 1)/a], so m = −7/3[b + 5/a(P − 1)].