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Question
Consider the sequence of steps to solve the equation:
5(x - 3) =


Step 1 ⇒ 10(x - 3) = 7x
Step 2 ⇒ 10x - 30 = 7x
Step 3 ⇒ 3x - 30 = 0
Step 4 ⇒ 3x = 30
Step 5 ⇒ x = 10

Identify the property of equality which gets us from Step 3 to Step 4.
Responses
A Division PropertyDivision Property
B Addition PropertyAddition Property
C Subtraction PropertySubtraction Property
D Multiplication Property

Answer 1

To determine the property of equality used from Step 3 to Step 4 in the sequence you provided, let's analyze the steps:

• Step 3: \( 3x - 30 = 0 \)
• Step 4: \( 3x = 30 \)

To go from \( 3x - 30 = 0 \) to \( 3x = 30 \), you are adding 30 to both sides of the equation.

Thus, the property of equality used here is the Addition Property.

So the correct response is:

B Addition Property.