https://file.aiquickdraw.com/mathbot/file/1726422517473k6vzlfc2.jpg

The equation given in the image is:

\[
wv = -xuy
\]

You are asked to solve for \( v \) in terms of \( u \), \( w \), \( x \), and \( y \).

### Steps to solve for \( v \):

1. Start with the given equation:
   \[
   wv = -xuy
   \]

2. To isolate \( v \), divide both sides of the equation by \( w \) (assuming \( w \neq 0 \)):
   \[
   v = \frac{-xuy}{w}
   \]

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

\[
v = \frac{-xuy}{w}
\]

Would you like a more detailed explanation, or do you have any questions about this?

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Here are five relative questions you could explore:

1. What happens if \( w = 0 \)? Can you still solve for \( v \)?
2. How does the equation change if \( y \) is equal to zero?
3. Can the result be simplified further if \( x \), \( u \), or \( y \) have specific values (e.g., 1)?
4. How would you solve for \( x \) instead of \( v \) in this equation?
5. How can this formula be used in a real-world application involving physics or economics?

**Tip:** Always check if the variable you're dividing by can be zero to avoid undefined expressions.

Solve for v in terms of u, w, x, and y. Given wv = -xuy.

Learn how to solve for v in the equation wv = -xuy. This algebraic problem involves solving for a variable in terms of others, using basic division properties. Suitable for students in Grades 9-11, the solution provides a step-by-step breakdown.

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