To solve the equation \( \frac{x}{a} = \frac{2y}{b} \), you can cross-multiply to eliminate the fractions. Here's the step-by-step process:

1. Start with the given equation:
   \[
   \frac{x}{a} = \frac{2y}{b}
   \]

2. Cross-multiply:
   \[
   x \cdot b = 2y \cdot a
   \]

3. This simplifies to:
   \[
   xb = 2ya
   \]

You can stop here, or you can solve for a particular variable depending on what you're looking for.

Would you like to solve for \( x \), \( y \), \( a \), or \( b \)? Let me know if you want more details.

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Here are some related questions:

1. How would you solve the equation if \( x = 3 \) and \( y = 4 \)?
2. What happens if \( a = b \) in the original equation?
3. How do you isolate \( x \) in the equation \( \frac{x}{a} = \frac{2y}{b} \)?
4. Can you derive a formula for \( y \) in terms of \( x \), \( a \), and \( b \)?
5. What if \( x = 0 \)? What does this imply about \( y \)?
6. How would you interpret the equation in terms of a real-world scenario?
7. Can you graph the equation when \( b \) and \( a \) are constants?
8. How would the equation change if you had \( \frac{x}{a} = \frac{3y}{b} \) instead?

**Tip:** Cross-multiplication is a powerful technique for solving proportions and equations involving fractions.

Learn how to solve the equation x/a = 2y/b using cross-multiplication. This problem involves proportions and cross-multiplication techniques in algebra. Suitable for Grades 7-9 students.

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