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JAMB Mathematics 1980 Question 19

Question 19

Algebraic Expressions

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

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

Answer: B (c = −(7/3)[b + (5/a)(v − 1)])

Explanation

v − 1 = −(a/5)(b + 3c/7), so b + 3c/7 = −5(v − 1)/a. Then 3c/7 = −[b + (5/a)(v − 1)] and c = −(7/3)[b + (5/a)(v − 1)].