Jamal uses the steps below to solve the equation 6x – 4 = 8.

Step 1: 6x – 4 + 4 = 8 + 4
Step 2: 6x + 0 = 12
Step 3: 6x = 12
Step 4: =
Step 5: 1x = 2

Step 6: x = 2

Which property justifies Step 3 of his work?

A). the addition property of equality
B). the identity property of addition
C). the multiplication property of equality
D). the identity property of multiplication

Respuesta :

B.)  because according to the identity property of addition, any number added to zero will remain the same.  

The multiplication property of equality justifies Step 3 to reach step4 of Jamal's work to solve the equation 6x – 4 = 8.

What is equation?

" Equation is defined as the algebraic expression which represents the relation between two quantity with the sign of equality."

According to the question,

Given steps to solve the equation are:

Step 1: 6x – 4 + 4 = 8 + 4

Step 2: 6x + 0 = 12

Step 3: 6x = 12

For step 4 , we have multiply both the side of the equation  by [tex]\frac{1}{6}[/tex]  we get,

Step 3: 6x = 12

Step 4: =[tex]6x(\frac{1}{6} )= 12(\frac{1}{6} )[/tex]

Step 5: 1x = 2

Hence, Option(C) is the correct answer.

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