Mathematics 2012 JAMB Past Questions - Question 11: make n the subject of the formula if w = v(2+cn)/1-cn

Correct Answer

D

Explanation

n the subject of the formula if w = v(2+cn)/1-cnw(1-cn) = v(2 +cn)w(1-cn) = v(2 +cn)w - 1-cnw = 2v +cnvw – 2v = cnv + cnww- 2v = n(cv + cw) n(cv + cw) = w – 2vn = w – 2v cv + cw n = 1(w – 2V)c(v+w)To make n the subject of the formula w = v(2 + cn) / (1 - cn), we can follow these steps:Step 1: Multiply both sides of the equation by (1 - cn) to eliminate the denominator:w(1 - cn) = v(2 + cn)Step 2: Distribute the terms on the left side:w - wcn = 2v + vcnStep 3: Group the terms with n on one side of the equation:wcn + vcn = 2v - wStep 4: Factor out n:n(cw + cv) = 2v - wStep 5: Divide both sides of the equation by (cw + cv) to isolate n:n = (2v - w) / (cw + cv)Therefore, n is the subject of the formula and can be expressed as n = (2v - w) / (cw + cv).