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Chapter 2: Q4. (page 71)

Name or state the postulate, property, definition, or theorem that justifies the statement.

If a+7=band b=4, then a+7=4.

Short Answer

Expert verified

The property that justifies the statement is Substitution Property.

Step by step solution

01

Step 1. State the Substitution Property.

The substitution property states that if x=y, then x can be substituted fory in any equation.

02

Step 2. Show the proof.

Here, a+7=band b=4.

Let,

a+7=b 鈥︹�� (1)

And

b=4 鈥︹�� (2)

Now, substitute the value of equation (2) in equation (1), the result obtained is:

a+7=4.

03

Step 3. State the conclusion.

Therefore, the statement is justified by the substitution property.

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