Q68. - Algebra 2

Question

Name the property illustrated by each statement.

If $\mathbf{3}\mathbf{x}\mathbf{=}\mathbf{10}$, then $\mathbf{3}\mathbf{x}\mathbf{+}\mathbf{7}\mathbf{=}\mathbf{10}\mathbf{+}\mathbf{7}$.

Step-by-Step Solution

Answer

Property illustrated in the statement is addition property of equality.

Step 1 – Description of step.

Add 7 on both the sides of 

3x=10

3x+7=10+7

Step 2 – Addition property of equality.

Addition property of equality states that, for any real numbers if $p=q$, then $p+r=q+r$.

Step 3 – Description of step.

From step 1 and step 2, it can be concluded that the property illustrated in the given statement is addition property of equality.

 

Therefore, addition property of equality is illustrated in the given statement.