Given:
[tex]4x+5=17[/tex][tex]4x+12[/tex]Required:
We need to check whether equality or congruence holds from the first statement to the second statement.
Explanation:
Consider the first statement.
[tex]4x+5=17[/tex]This can be written as follows.
[tex]4x+5=12+5[/tex]Use the addition property.
[tex]If\text{ a=b then }a+c=b+c.[/tex][tex]If\text{ 4x=12 then 4x+5=12+5.}[/tex]So this statement satisfies the addition property.
We know that the addition property is equality.
Final answer:
The name of the property of equality is the addition property.
