Question

Which justification describes the process?

Answer 1

Answer:

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

Step-by-step 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.

Answer 2

Answer:

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

Step-by-step 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,

$a=b \Leftrightarrow \frac{a}{c}=\frac{b}{c}$

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.