identify the property illustrated in each of the following if y=11 and y=3x+2,then 11=3x+2

The property illustrated in this equation is the **transitive property of equality**.

### Explanation:
- The transitive property of equality states that if two values are both equal to the same third value, then they are equal to each other.
- In this case, we are given:
  - \( y = 11 \)
  - \( y = 3x + 2 \)
- Since \( y \) is equal to both 11 and \( 3x + 2 \), we can conclude that:
  - \( 11 = 3x + 2 \)

This is an application of the transitive property of equality because it connects \( y = 11 \) and \( y = 3x + 2 \), allowing us to equate 11 and \( 3x + 2 \).

Would you like a more detailed explanation, or do you have any further questions?

Here are 5 related questions for practice:
1. What is the transitive property of inequality?
2. Solve \( 11 = 3x + 2 \) for \( x \).
3. What is the substitution property of equality?
4. How does the transitive property relate to congruence in geometry?
5. How can the transitive property be used in solving systems of equations?

**Tip:** When solving equations, look for opportunities to apply properties like transitive and substitution to simplify the process.

If y = 11 and y = 3x + 2, then 11 = 3x + 2. Identify the property illustrated.

Understand the application of the transitive property of equality in algebra. Learn how to solve the equation 11 = 3x + 2 using algebraic concepts and key properties of equality. Suitable for students in Grades 6-8.

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