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

Respuesta :

Answer:

Multiplication property of equality

Step-by-step 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.

[tex]\frac{8}{3b} = -9[/tex]

[tex]\frac{8}{3b} * \frac{3}{8} = -9 * \frac{3}{8}[/tex]

[tex]b = -9 * \frac{3}{8}[/tex]

[tex]b = \frac{-9 * 3}{8}[/tex]

[tex]b = \frac{-27}{8}[/tex]

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