Question

Solve for u in terms of r, s, t, and v.
sv=
–
rut
u=

Answer 1

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

\[
sv = -rut
\]

we can first isolate \( u \). Here's how to do it step by step:

1. Start with the equation:
\[
sv = -rut
\]

2. To isolate \( u \), we can divide both sides of the equation by \( -rt \) (assuming \( r \) and \( t \) are not zero):
\[
u = -\frac{sv}{rt}
\]

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

\[
u = -\frac{sv}{rt}
\]