Question

solve for w in terms of s, t, u, and v.
vu = -tws
w =

Explanation:

Step1: Identify the goal

We need to isolate \( w \) in the equation \( vu = -tws \).

Step2: Divide both sides by \(-ts\)

To solve for \( w \), we divide both sides of the equation \( vu = -tws \) by \(-ts\) (assuming \( t
eq 0 \) and \( s
eq 0 \) to avoid division by zero).

$$ \frac{vu}{-ts} = \frac{-tws}{-ts} $$

Simplifying the right - hand side, the \(-t\) and \( t \) cancel out, and the \( s \) and \( s \) cancel out, leaving us with \( w \).

Simplifying the left - hand side, we can rewrite it as \( w=-\frac{vu}{ts}\) or \( w = \frac{-vu}{ts}\) (both are equivalent).

Answer:

\(w =-\dfrac{vu}{ts}\) (or \(w=\dfrac{-vu}{ts}\))