https://file.aiquickdraw.com/mathbot/file/17255734217318qgh5ybp.jpg

The equation in the image appears to be:

\[
\frac{6}{x-1} = \frac{9}{x+5}
\]

Would you like me to solve this equation for \( x \)?

Also, here are some related questions that may interest you:

1. How do you solve rational equations like this one?
2. What happens if there is no solution for \( x \) in a rational equation?
3. Can rational equations have extraneous solutions, and how can they be identified?
4. How would you solve this equation if it had multiple fractions?
5. What if we added another term to either side of the equation—how would that change things?

**Tip:** Always check for potential restrictions on \( x \) when solving rational equations to avoid division by zero!

Solve the equation \( \frac{6}{x-1} = \frac{9}{x+5} \)

Learn how to solve the rational equation \( \frac{6}{x-1} = \frac{9}{x+5} \) step-by-step using cross-multiplication. Explore key algebraic concepts, including rational equations and solving for unknowns. Suitable for students in Grades 8-10.

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