Reverse the roles of the variables by solving for the indicated variable.
Solve for v:   
w = uv + t
v = 
 

To solve for \( v \) in the equation:

\[
w = uv + t
\]

### Step 1: Isolate the term involving \( v \)

Subtract \( t \) from both sides:

\[
w - t = uv
\]

### Step 2: Solve for \( v \)

Now, divide both sides by \( u \) to isolate \( v \):

\[
v = \frac{w - t}{u}
\]

So, the solution for \( v \) is:

\[
v = \frac{w - t}{u}
\]

Would you like a more detailed explanation or further clarification?

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Here are some related questions for practice:

1. Solve for \( u \) in the equation \( w = uv + t \).
2. If \( w = 10 \), \( u = 2 \), and \( t = 4 \), what is the value of \( v \)?
3. Solve \( w = uv + t \) for \( t \).
4. If \( v = 5 \), \( w = 15 \), and \( u = 3 \), what is \( t \)?
5. Rearrange the equation \( w = uv + t \) to express \( u \) in terms of \( v \), \( w \), and \( t \).

**Tip:** When solving for a variable, always ensure all terms involving that variable are isolated on one side of the equation.

Learn how to solve for the variable v in the equation w = uv + t. This solution walks you through isolating the variable step-by-step, using algebraic techniques to simplify and solve. Perfect for students in Grades 7-9 working on algebraic manipulation.

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