Question

Complete the logical argument by giving a reason for each step.

Answer 1

Answer:

A = Distributive Property of Multiplication

B = Addition Property of Equality

C = Subtraction Property of Equality

Step-by-step explanation:

Given:

5(2x - 1) = 9x + 2

The first step is to use the distributive property and multiply 5 to both numbers inside the brackets. So, A will be Distributive property of multiplication, which will result in:

5(2x) - 5(1) = 9x + 2

10x - 5 = 9x + 2

The next step is to add 5 on both sides of the equation. So, B will be the Addition property of equality, which will result in:

10x - 5 + 5 = 9x + 2 + 5

10x = 9x + 7

The next step is to subtract 9x from both sides of the equation. So, C will be the Subtraction property of Equality, which will result in:

10x - 9x = 9x + 7 - 9x

x = 7