Answer:
[tex] u = -\dfrac{vx}{w} [/tex]
Step-by-step explanation:
You are allowed to multiply and divide both sides of an equation by the same non-zero number or non-zero variable. Do the appropriate operations to isolate the u.
[tex] x = -\dfrac{1}{v}uw [/tex]
We are solving for u, so first, switch sides.
[tex] -\dfrac{1}{v}uw = x [/tex]
Multiply both sides by v.
[tex] -\dfrac{1}{v}uw \times v = x \times v [/tex]
[tex] -uw = x \times v [/tex]
Divide both sides by -w.
[tex] \dfrac{-uw}{-w} = \dfrac{xv}{-w} [/tex]
[tex] u = -\dfrac{vx}{w} [/tex]
