Question

Make t the subject of the formula
P= 3-2t
—————
4+t

Answer 1

`t = (3 - 4p)/(p + 2)`

Explanation:

Given

`P = (3 - 2t)/(4 + t)`

Required

Make t the subject

`P = (3 - 2t)/(4 + t)`

Cross Multiply

`P * (4 + t) = 3 - 2t`

`4p + tp = 3 - 2t`

Collect Like Terms

`tp + 2t = 3 - 4p`

Factorize:

`t(p+2) = 3 - 4p`

Make t the subject

`t = (3 - 4p)/(p + 2)`