Question

Determine the reason for step 1 in the following algebraic proof.

Answer 1

Option (3)

Explanation:

Given : 3x + 12 = 8x - 18

To prove : x = 6

Statements Reasons

1). 3x + 12 = 8x - 18 1). Given

2). 12 = 5x - 18 2). Subtraction property of equality

3). 30 = 5x 3). Addition property of equality

4). 6 = x 4). Division property of equality

5). x = 6 5). Symmetric property

For step 1 in the given proof Option (3) will be the answer.