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bazaltina [42]
3 years ago
10

F = uv/u + v make u the subject

Mathematics
1 answer:
never [62]3 years ago
3 0

I'm assuming that you mean

\dfrac{uv}{u+v}

because if you meant

\dfrac{uv}{u}+v

then u would simplify and you couldn't make it the subject.

Under this assumption, we start with

F=\dfrac{uv}{u+v}

We multiply both sides by u+v

F(u+v)=uv

We expand the left hand side:

Fu+Fv=uv

We move all terms involving u to the left and all terms not involving u to the right:

Fu-uv=-Fv

We factor u on the left hand side:

u(F-v)=-Fv

We divide both sides by F-v

u=\dfrac{-Fv}{F-v}

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