Question

Solve for the specified variable

Answer 1

`s = (2A)/(f) - z`

Explanation:

Given:

`A = (1)/(2)f(s + z)`

Required:

Make s the subject of the formula

SOLUTION:

`A = (1)/(2)f(s + z)` (given)

Multiply both sides by 2

`2*A = (1)/(2)f(s + z)*2` (multiplication property of equality)

`2A = f(s + z)`

Divide both sides by f

`(2A)/(f) = (f(s + z))/(f)` (division property of equality)

`(2A)/(f) = s + z`

Subtract z from both sides

`(2A)/(f) - z = s + z - z` (Subtraction property of equality)

`(2A)/(f) - z = s`

Rewrite the equation

`s = (2A)/(f) - z`