Answer:
[tex]t = \frac{3sr}{2a \ + \ 5s}[/tex]
Step-by-step explanation:
Given expression;
[tex]S = \frac{2at}{3r - 5t}[/tex]
To make "t" the subject of the formula, cross and multiply;
[tex]S(3r - 5t) = 2at\\\\[/tex]
open the bracket;
3sr - 5st = 2at
collect like terms together;
3sr = 2at + 5st
Factor out "t" on the right hand side;
3sr = t(2a + 5s)
Finally, make "t" the subject of the formula by dividing both sides by (2a + 5s).
[tex]t = \frac{3sr}{2a \ + \ 5s}[/tex]
