C.18 Rearrange multi-variable equations

Question

WSJ
Solve for v in terms of t, u, and w.
t=u–w+v
v=

Answer 1

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

\[ t = u - w + v, \]

we can isolate \( v \) by rearranging the equation. Here are the steps:

1. Start with the original equation: \[ t = u - w + v \]

2. To isolate \( v \), subtract \( u - w \) from both sides: \[ v = t - (u - w) \]

3. This simplifies to: \[ v = t - u + w \]

Thus, the value of \( v \) in terms of \( t \), \( u \), and \( w \) is:

\[ v = t - u + w \]