Question

Make u the subject of the formula
u-x/v-x=u/v²​

Answer 1

See below.

Explanation:

`(u-x)/(v-x)=(u)/(v^2) \\`

Cross multiply and distribute.

`u(v-x)=v^2(u-x)\\uv-ux=uv^2-xv^2`

Move all the u to the left side:

`uv-ux-uv^2=-xv^2`

Factor out a u:

`u(v-x-v^2)=-xv^2`

Divide:

`u=(-xv^2)/(v-x-v^2)=(xv^2)/(x+v^2-v)`

(I factored out a negative in the second term.)