Question

A = b(c + d) for b Answer: Written as an equation

Answer 1

Answer: B= A/(C+D)

Step-by-step explanation:

A = B(C+D)

Divide each side by B

A/B= C+D

Reciprocate both sides

B/A = 1/(C+D)

Now multiply each side by A

B = A/(C+D)

Answer 2

Answer:

$\huge\boxed{b=\dfrac{a}{c+d}\qquad\text{where}\ c\neq-d}$

Step-by-step explanation:

$a=b(c+d)\qquad\text{divide both sides by }\ (c+d)\neq0\\\\\dfrac{a}{c+d}=\dfrac{b(c+d)}{(c+d)}\qquad\text{cancel}\ (c+d)\\\\\dfrac{a}{c+d}=b\to\boxed{b=\dfrac{a}{c+d}}$