Question

S/(2t−s)+5=3t, find s

s+5=2−(3t)
s+5=2t−(3t)
s+3ts=2−5
s(1+3)=2t+5
s=(2+5)/(1+3)

Is my answer correct?

Answer 1

Hi,

Explanation:

`2t-s\\eq 0\ or\ s\\eq 2t\\\\(s)/(2t-s)+5=3t\\\\(s)/(2t-s)=3t-5 \ cross\ product\\ \\s=(3t-5)(2t-s)\\\\s=6t^2-3st-10t+5s\\\\s+3st-5s=6t^2-10t\\\\s(1+3t-5)=6t^2-10t\\\\if\ 3t-4\\eq 0\ or\ t\\eq (4)/(3) \\\\\boxed{s=(6t^2-10t)/(3t-4) }`