Question

Make t the subject of the formula: S = at + bt

Answer 1

`S = at + bt \\ t(a+b)=S\\ t=(S)/(a+b)`

Answer 2

To make t the subject is basically isolating t

S = at + bt
We see on the right side that t is common, so we factor it out.

S = t(a + b)
Divide by (a+b) to isolate t


`(S)/(a + b) = (t(a+b))/((a+b))`
a + b and a + b cancels out
We are left with the answer:
t =
`(S)/(a+b)`