Question

What is the justification for step 1 in the solution process?

8x + 15 = 11x + 2
Step 1: 8x = 11x − 13
A.
the division property of equality
B.
the addition property of equality
C.
the subtraction property of equality
D.
the multiplication property of equality

Answer 1

the addition property of equality

Explanation:

Compare step 1 with step 2 in the solution process:

step 1: -5x = -4x - 15

step 2: -x = -15

The variable was isolated on the left side of the equation by adding 4x to both sides. This is justified by the addition property of equality.

Answer 2

C.

the subtraction property of equality

Explanation:

Given

8x + 15 = 11x + 2

Subtract 15 from both sides of the equation

8x + 15 - 15 = 11x + 2 - 15

8x = 11x - 13