Question

solve for u in terms of r, s, and t.
t = s - r + u
u =

Explanation:

Step1: Isolate \( u \)

We start with the equation \( t = s - r + u \). To solve for \( u \), we need to get \( u \) by itself on one side of the equation. We can do this by subtracting \( s \) and adding \( r \) to both sides of the equation (or equivalently, moving \( s - r \) to the other side by performing the inverse operations).
First, subtract \( s \) from both sides:
\( t - s = -r + u \)
Then, add \( r \) to both sides:
\( t - s + r = u \)
We can also rewrite this as \( u = t - s + r \) or \( u = t + r - s \) (by rearranging the terms).

Answer:

\( t + r - s \) (or equivalent forms like \( t - s + r \))