Which justification describes the process?

Process:

Step 1: [tex]4x + 2 = 10[/tex]
Step 2: [tex]4x = 8[/tex]

A. Using the division property of equality, both sides of the equation are divided by 2.
B. Using the multiplication property of equality, 2 is multiplied to both sides of the equation.
C. Using the subtraction property of equality, 2 is subtracted from both sides of the equation.
D. Using the addition property of equality, 2 is added to both sides of the equation.



Answer :

The given process involves transforming the equation from Step 1 to Step 2.

Let's start with Step 1:
[tex]$4x + 2 = 10$[/tex]

In order to isolate the term involving [tex]\( x \)[/tex] (which is [tex]\( 4x \)[/tex]), we need to eliminate the constant term on the left side of the equation. To do this, we subtract 2 from both sides of the equation.

So:
[tex]$4x + 2 - 2 = 10 - 2$[/tex]

Simplifying both sides, we get:
[tex]$4x = 8$[/tex]

Therefore, the justification for this step is:
Using the subtraction property of equality, 2 is subtracted from both sides of the equation.