Which property can be used to show that if 3a=4b and 4b=5c , then 3a=5c ?

The **Transitive Property of Equality** can be used to show that if \( 3a = 4b \) and \( 4b = 5c \), then \( 3a = 5c \).

This property states that if two values are both equal to a third value, then they must be equal to each other. Specifically:

1. Given \( 3a = 4b \) (Equation 1) and \( 4b = 5c \) (Equation 2),
2. By the transitive property: since \( 4b \) is common in both equations, you can conclude that \( 3a = 5c \).

Would you like more details or have any questions?

Here are five related questions:
1. Can the transitive property be used for inequalities?
2. How does the transitive property relate to geometric proofs?
3. What other properties of equality are commonly used in algebra?
4. Can the transitive property be used in real-world applications?
5. How can you verify if a property applies in more complex equations?

**Tip**: Always verify that both sides of an equation share a common term before applying the transitive property!

Which property can be used to show that if 3a=4b and 4b=5c, then 3a=5c?

Understand how the Transitive Property of Equality applies to show that if 3a=4b and 4b=5c, then 3a=5c. This algebraic concept is essential for students in Grades 8-10, exploring the fundamental properties of equality in mathematics.

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