Question

What is the justification for step 4 in the solution process?

9/2b +11-5/6b=b+2

step 1: 22/6b +11=b+2

step 2: 8/3b +11=2

step 3: 8/3b = -9

step 4: b = -27/8

A. the addition property of equality

B. the subtraction property of equality

C. the multiplication property of equality

D. combining like terms
​

Answer 1

Multiplication property of equality

Explanation:

Given

Step 4: b = -27/8

Required

Which property justifies it?

First, it should be noted that step 4 is a result of step 3

When step 3 is multiplied by 3/8 on both sides, we have step 4;

i.e.

`(8)/(3b) = -9`

`(8)/(3b) * (3)/(8) = -9 * (3)/(8)`

`b = -9 * (3)/(8)`

`b = (-9 * 3)/(8)`

`b = (-27)/(8)`

The property that allows 3/8 be multiplied on both sides is referred to as the multiplication property of equality