https://file.aiquickdraw.com/mathbot/file/1726148067034c318qknr.jpg

From the image, the equation given is:

\[
\frac{8}{x} = \frac{4}{3}
\]

This is a rational equation that can be solved by cross-multiplying. Here's the process step-by-step:

1. Cross-multiply:
\[
8 \cdot 3 = 4 \cdot x
\]
2. Simplify:
\[
24 = 4x
\]
3. Divide both sides by 4 to isolate \(x\):
\[
x = \frac{24}{4} = 6
\]

So, the solution is:
\[
x = 6
\]

Would you like more details or further explanation on solving rational equations?

Here are 5 related questions to explore:
1. How do you solve rational equations with variables in both denominators?
2. What happens when you have more complex fractions on both sides?
3. How can you verify your solution in a rational equation?
4. What is the general process of cross-multiplying in a rational function?
5. How do restrictions on variables work in rational functions?

**Tip:** Always check the solution in the original equation to make sure it's valid and doesn't create any division by zero!

Solve the rational equation \(\frac{8}{x} = \frac{4}{3}\).

Learn how to solve the rational equation \(\frac{8}{x} = \frac{4}{3}\) by cross-multiplying both sides. This problem introduces key algebraic concepts of rational equations, cross-multiplication, and the isolation of variables. Suitable for students in Grades 6-8.

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