Question

18 Rearrange multi-variable equations
WSJ
Solve for v in terms of s, t, and u.
s=
–
uvt
v=

Answer 1

To solve for \( v \) in terms of \( s \), \( t \), and \( u \) from the equation

\[
s = -uvt,
\]

we need to isolate \( v \). Here's how to rearrange the equation step by step:

1. Start with the original equation:
\[
s = -uvt.
\]

2. To isolate \( uv \), multiply both sides by -1:
\[
-s = uvt.
\]

3. Now, divide both sides by \( ut \) (assuming \( u \) and \( t \) are not zero):
\[
v = \frac{-s}{ut}.
\]

So, the final expression for \( v \) in terms of \( s \), \( t \), and \( u \) is:

\[
v = \frac{-s}{ut}.
\]