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5 votes
Which justification describes the process?

Process:

Step 1: 4x + 2 = 10

Step 2: 4x = 8



Using the Subtraction Property of Equality, 2 is subtracted from both sides of the equation.

Using the Division Property of Equality, both sides of the equation are divided by 2.

Using the Addition Property of Equality, 2 is added to both sides of the equation.

Using the Multiplication Property of Equality, 2 is multiplied to both sides of the equation.

User Trendels
by
7.3k points

2 Answers

3 votes

Answer:

The correct option is 1. Using the Subtraction Property of Equality, 2 is subtracted from both sides of the equation.

Explanation:

If a, b and c are three real numbers, then

1. According to Addition Property of Equality,


a=b \Leftrightarrow a+c=b+c

2. According to Subtraction Property of Equality,


a=b \Leftrightarrow a-c=b-c

3. According to Multiplication Property of Equality,


a=b \Leftrightarrow ac=bc

4. According to Division Property of Equality,


a=b \Leftrightarrow (a)/(c)=(b)/(c)

Step 1: The given equation is


4x+2=10

Step 2: Using the Subtraction Property of Equality, 2 is subtracted from both sides of the equation.


4x+2-2=10-2


4x=8

Therefore the correct option is 1.

User Pargat
by
8.6k points
0 votes

Answer:

Option 1 - Using the Subtraction Property of Equality, 2 is subtracted from both sides of the equation.

Explanation:

Given : Process

Step 1: 4x + 2 = 10

Step 2: 4x = 8

To find : Which justification describes the process?

Solution :

From step 1 to step 2, we subtract 2 both sides

Step 1: 4x + 2 = 10

Subtracting 2 both side,

⇒ 4x + 2-2 = 10-2

Step 2: 4x = 8

So, The best justification is 'Using the Subtraction Property of Equality, 2 is subtracted from both sides of the equation'.

Therefore, Option 1 is correct.

User Pzmarzly
by
8.1k points
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