https://file.aiquickdraw.com/mathbot/file/17264336824099bplcsu7.jpg

The image shows an equation:

\[
\frac{x + y}{3} = 5
\]

This equation can be solved for \( x + y \). Here's how we can solve it:

### Step-by-Step Solution:

1. **Multiply both sides of the equation by 3** to eliminate the denominator:

\[
x + y = 5 \times 3
\]

\[
x + y = 15
\]

So, the sum of \( x \) and \( y \) is 15. However, since there is no further information about either \( x \) or \( y \) individually, this is as far as we can go without additional data.

Do you have any specific values for \( x \) or \( y \), or should I assist with further details on how to approach this?

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Here are some related questions you might find interesting:
1. If \( y = 7 \), what would \( x \) be?
2. How do we express \( x \) in terms of \( y \)?
3. How would the solution change if the denominator were different, say 5 instead of 3?
4. Can you think of any scenarios where \( x \) or \( y \) might be zero?
5. How could this equation be represented on a graph?

**Tip:** When solving linear equations, always look for opportunities to simplify by eliminating denominators or constants first.

Learn how to solve the linear equation (x + y) / 3 = 5 with a detailed step-by-step explanation. The solution involves basic algebraic manipulation, such as multiplying both sides of the equation by 3. Suitable for students in Grades 6-8.

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