Question

Name the property that justifies each statement:

1. If 5x = 35, then x = 7
2. If AB = CD then CD = AB
3. If 4x - 3 = 13, then 4x = 16

Use the given property to complete each statement:

1. Subtraction Property of Equality: If 2x + 5 = 25, then 2x = ____
2. Reflexive Property of Equality: AB = ____

Answer 1

The property that justifies each statement is the Substitution Property of Equality. Using this property, the first statement can be completed as: If 2x + 5 = 25, then 2x = 20. The second statement can be completed as: AB = AB.

Step-by-step explanation:

The property that justifies each statement is the

Substitution Property of Equality.

Here's how each statement can be justified:

1. If 5x = 35, then x = 7. To solve for x, divide both sides of the equation by 5. This follows the Substitution Property of Equality, which states that if a = b, then b can be substituted for a in any expression.
2. If AB = CD, then CD = AB. This follows the Symmetric Property of Equality, which states that if a = b, then b = a.
3. If 4x - 3 = 13, then 4x = 16. To solve for x, add 3 to both sides of the equation. This follows the Addition Property of Equality, which states that if a = b, then a + c = b + c.

To complete each statement using the given properties:

1. Subtraction Property of Equality: If 2x + 5 = 25, then 2x = 20
2. Reflexive Property of Equality: AB = AB