https://file.aiquickdraw.com/mathbot/file/1727399560446hsxeb9jj.jpg

The property of equality shown in this problem is the **Division Property of Equality**. 

Here’s why:
- In the equation \( u + 23 = -5 \), both sides of the equation are divided by 62, resulting in \( \frac{u + 23}{62} = \frac{-5}{62} \). 
- According to the Division Property of Equality, if you divide both sides of an equation by the same nonzero number, the equality remains valid.

Would you like further details or have any questions?

Here are 5 related questions to deepen your understanding:

1. What is the Addition Property of Equality?
2. How is the Subtraction Property of Equality different from the Division Property?
3. When would the Multiplication Property of Equality be used in an equation?
4. Why can we divide both sides of an equation by the same number without changing the solution?
5. How does solving a linear equation step-by-step relate to different properties of equality?

**Tip:** Always check that you are dividing by a nonzero number when applying the Division Property of Equality to avoid undefined operations.

Which property of equality is shown below? If u + 23 = -5, then u + 23/62 = -5/62.

Understand the Division Property of Equality through this algebraic example where both sides of the equation u + 23 = -5 are divided by 62, resulting in u + 23/62 = -5/62. Suitable for Grade 7-8 students, this exercise demonstrates the application of equality properties in solving linear equations.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation