Provide reasons for this proof. “If
Proof  
Statements  Reasons 
1.

1. ? 
2.

2. ? 
3.

3. ? 
4.

4. ? 
To find:
The missing reasons for the algebraic proof.
Given:
The given table is shown below.
PROOF  
Statements  Reasons 
1. 
1. ? 
2. 
2. ? 
3. 
3. ? 
4. 
4. ? 
Property used:
1. The Addition Property of Equality states that if same number is added to both sides of the equation then the sides of the equation remains equal.
2. According to Substitution Property of Equality, if
Calculation:
The first statement of the proof is given below.
The first statement is same as the given equation. So, the reason for the first statement is given.
Now, go from the first statement to the second statement.
Use Addition Property of Equality and add
Therefore, the reason for second statement is Addition Property of Equality.
Consider the third statement of the proof.
The third statement is a part of the given information. So, the reason for the third statement is given.
To reach the final statement, use second statement
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