Answer:
[tex]\boxed{\sf \ \ \ m = -\dfrac{tn}{t-s} \ \ \ }[/tex]
Step-by-step explanation:
Hello,
let s assume that m+n is different from 0
we have this equation and we need to find m as a function of t, s, and n
[tex]t=\dfrac{ms}{m+n}[/tex]
<=>
[tex](m+n)*t=ms\\\\<=> tm+tn=sm\\<=> (t-s)m = -tn\\<=> m = -\dfrac{tn}{t-s}[/tex]
for t-s different from 0, so t different from s
hope this helps
