Question

Make u the subject of the relation
u-x/v-x=u/v2

Answer 1

u = v²x/(v² -v +x)

Explanation:

You want to solve for u: (u -x)/(v -x) = u/v².

Solution

We can eliminate the fractions, collect u-terms, then divide by the coefficient of u.

`(u-x)/(v-x)=(u)/(v^2)\\\\v^2(u-x)=u(v-x)\qquad\text{cross multiply}\\\\u(v^2-v+x)=v^2x\qquad\text{collect u-terms on the left}\\\\\boxed{u=(v^2x)/(v^2-v+x)}\qquad\text{divide by the coefficient of u}`

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