Question

Express b+1/3b-2 with “b” as the subject

Answer 1

Answer:

b = $\frac{1+2a}{3a-1}$

Step-by-step explanation:

Given

a = $\frac{b+1}{3b-2}$ ( multiply both sides by 3b - 2 )

a(3b - 2) = b + 1 ← distribute left side

3ab - 2a = b + 1 ( subtract b from both sides )

3ab - b - 2a = 1 ( add 2a to both sides )

3ab - b = 1 + 2a ← factor out b from each term on the left side

b(3a - 1) = 1 + 2a ( divide both sides by 3a - 1 )

b = $\frac{1+2a}{3a-1}$