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11 12 13 14 15 16 17 18 19 20 TIME REMAINING 01:04:38 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: StartFraction 6 x Over 6 EndFraction = StartFraction 12 Over 6 EndFraction Step 5: 1x = 2 Step 6: x = 2 Which property justifies Step 3 of his work?

2 Answers

3 votes

Answer:

Identity property of addition

Explanation:

Given

Step 3: 6x = 12

Required:

Which property justifies Step 3 of his work

The property that justifies this step is the identity property of addition;

At step 2; the equation was

6x + 0 = 12

When 0 is added to any expression or number, the value of the number or expression remains unchanged.

So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:

So, 6x + 0 = 12 becomes

6x = 12.

This property is referred to as the Identity property of addition

User Matthieu Boisjoli
by
8.1k points
5 votes

Answer:

Identity property of addition

Explanation:

Given

Step 3: 6x = 12

Required:

Which property justifies Step 3 of his work

The property that justifies this step is the identity property of addition;

At step 2; the equation was

6x + 0 = 12

When 0 is added to any expression or number, the value of the number or expression remains unchanged.

So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:

So, 6x + 0 = 12 becomes

6x = 12.

This property is referred to as the Identity property of addition

User Sujen
by
8.7k points

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