Question

select the correct answer.
what is the justification for step 2 in the solution process?
10x - 25 - 3x = 4x - 1
step 1: 7x - 25 = 4x - 1
step 2: 7x = 4x + 24

a. the addition property of equality
b. the division property of equality
c. the multiplication property of equality
d. the subtraction property of equality

Explanation:

To find the justification for Step 2, we analyze the transformation from Step 1 (\(7x - 25 = 4x - 1\)) to Step 2 (\(7x = 4x + 24\)). We added 25 to both sides of the equation. The addition property of equality states that if \(a = b\), then \(a + c = b + c\) for any real number \(c\). Here, \(c = 25\), so we used the addition property of equality. The division, multiplication, or subtraction properties are not applicable here as we added a number, not divided, multiplied, or subtracted in a way that fits their definitions.

Answer:

A. the addition property of equality