Solve for ‘w’ in terms of ‘t’, ‘u’, ‘v’, and ‘x’.       vx=utw.    w=

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

\[
vx = utw
\]

We can isolate \( w \) by following these steps:

1. Divide both sides of the equation by \( ut \) to isolate \( w \):
   \[
   w = \frac{vx}{ut}
   \]

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

\[
w = \frac{vx}{ut}
\]

Would you like more details or have any other questions?

Here are 5 related questions to expand your understanding:
1. How do we manipulate equations to isolate variables?
2. Can you solve for \( t \) in terms of \( w \), \( u \), \( v \), and \( x \)?
3. What happens to the equation if \( t = 0 \)?
4. How does this method apply to more complex equations?
5. How can you solve for multiple variables in one equation?

**Tip:** When solving for a variable, remember that dividing by 0 is undefined, so always consider the constraints of the equation.

Learn how to solve for w in terms of t, u, v, and x from the equation vx = utw. This problem involves key algebraic concepts, including equation manipulation and variable isolation. Suitable for students in Grades 9-12.

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