SOLUTION: 1. If u+v=m and 1/u+1/v=1/f, express m in term of u and f.

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Question 389563: 1. If u+v=m and 1/u+1/v=1/f, express m in term of u and f.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If u+v=m and 1/u+1/v=1/f, express m in terms of u and f.
:
1%2Fu + 1%2Fv = 1%2Ff
Multiply by uvf to get rid of the denominators, results:
fv + fu = uv
rearrange like this
fv - uv = -fu
Factor out v
v(f-u) = -fu
divide both sides by (f-u)
v = %28-fu%29%2F%28%28f-u%29%29
:
"express m in term of u and f."
m = u + v
replace v with %28-fu%29%2F%28%28f-u%29%29
m = u + %28-fu%29%2F%28%28f-u%29%29