Question

Make t the subject when q equals 2-4t over t+3

Answer 1

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

This is the same as writing t = (2-3q)/(q+4)

The parenthesis are needed so we know to divide all of "2-3q" all over top "q+4".

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Work Shown:

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

To avoid a division by zero error, we need to have
`q \\e -4`

Also notice how
`t = -3` isn't possible for similar reasoning (refer to the first equation at the top).