https://file.aiquickdraw.com/mathbot/file/1723533566094up6zm6t2.jpg

To solve for the numbers in the squares, let's analyze the equations presented in the image:

1. The first equation is:
   \[
   \square + \square = 8
   \]

2. The second equation is:
   \[
   \square + \square = 6
   \]
   Below these squares, the numbers 13 and 11 are written.

However, there seems to be some inconsistency or unclear notations in the equations presented. It looks like the numbers 13 and 11 could potentially relate to the value of the squares, but let's work with the assumption that they are involved in the process to find the values in the squares.

Let's assume that each distinct square symbol represents a unique number, denoted by \( x \) and \( y \).

From the given image:
- For the first row equation: 
  \[
  x + y = 8
  \]
- For the second row equation:
  \[
  x - y = 6
  \]

To solve these equations, let's use the method of addition:

1. Add both equations together:
   \[
   (x + y) + (x - y) = 8 + 6
   \]
   Simplifying, we get:
   \[
   2x = 14
   \]
   Therefore, 
   \[
   x = 7
   \]

2. Substitute \( x = 7 \) back into one of the original equations, say \( x + y = 8 \):
   \[
   7 + y = 8
   \]
   Solving for \( y \), we get:
   \[
   y = 1
   \]

So, the numbers in the squares are \( 7 \) and \( 1 \).

Would you like further details or explanations on this? 

### Related Questions:
1. What would the values of the squares be if the first equation were \( \square + \square = 10 \)?
2. How can these methods be extended to solve systems with more than two equations?
3. What is the general form of the solution for two-variable systems?
4. How can you check if a system of equations has no solution?
5. What happens if both equations are identical?
6. How does the method of substitution differ from the method of elimination?
7. What are some practical applications of solving systems of equations?
8. Can systems of equations be solved graphically?

**Tip:** When solving systems of equations, always double-check by substituting the solution back into the original equations to ensure consistency.

Learn how to solve systems of equations with two variables using the addition method. Step-by-step guide with examples to find the values of variables represented by squares. Suitable for Grades 7-9.

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