https://file.aiquickdraw.com/mathbot/file/17288578842453xdj0efc.jpg

The equation shown in the image is:

\[
\frac{5}{a} + \frac{6}{b} = 7
\]

This is a linear equation in two variables, \(a\) and \(b\). To solve for \(a\) and \(b\), you would need another equation involving these variables (a system of two equations). Otherwise, we can only express one variable in terms of the other.

For example, we can solve for \(a\) in terms of \(b\):

\[
\frac{5}{a} = 7 - \frac{6}{b}
\]

Now, solving for \(a\):

\[
a = \frac{5}{7 - \frac{6}{b}}
\]

If you want to proceed further or have more specific values, feel free to share. Would you like more details or have any specific questions?

### Related Questions:
1. How would you solve this system if another equation is provided?
2. What happens if \(a\) and \(b\) take specific values like integers?
3. Can we graph this equation to see the relationship between \(a\) and \(b\)?
4. What are the constraints on \(a\) and \(b\) to keep this equation valid (e.g., avoid division by zero)?
5. How can we manipulate this equation to express \(b\) in terms of \(a\)?

**Tip:** When dealing with fractions, always check for potential undefined values by ensuring the denominator never equals zero.

Learn how to solve the linear equation 5/a + 6/b = 7. This problem explores algebraic concepts such as fractions and linear relationships. Suitable for students in Grades 7-9, the solution shows how to express one variable in terms of the other.

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