Solve for r in terms of s, t, and u.

u=1/t sr
r=

1 answer

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

\[ u = \frac{1}{t} sr \]

We can rearrange the equation step by step:

  1. Multiply both sides by \( t \) to eliminate the fraction:

\[ ut = sr \]

  1. Divide both sides by \( s \) to isolate \( r \):

\[ r = \frac{ut}{s} \]

Thus, the solution for \( r \) in terms of \( s \), \( t \), and \( u \) is:

\[ r = \frac{ut}{s} \]