Question

Can you rearrange it so T is the subject

Answer 1

The formula after making t subject of the formula is:

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

Explanation:

Given formula is:

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

To make t the subject of the formula we have to isolate t

So,

Cross-multiplying

`q(t+3) = 2-4t\\qt+3q = 2-4t`

Adding 4t on both sides

`qt+3q+4t = 2-4t+4t\\qt+3q+4t = 2`

Subtracting 3q from both sides

`qt+3q+4t-3q = 2-3q\\qt+4t = 2-3q`

Taking t common on left hand side

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

Dividing both sides by q+4

`(t(q+4))/(q+4)=(2-3q)/(q+4)\\t = (2-3q)/(q+4)`

The formula after making t subject of the formula is:

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