Question

х
3
16
The first step to solve the equation 4
II
is shown below.
X 3 3
3
-8 + 8 = 16+
4
Which property was applied in this step?
Addition Property of Equality
O Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality

Answer 1

Solution:

To see which option is the most accurate one, we will verify all the options to see which is correct.

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Option A (Correct/Incorrect)

• This is correct.

Option A (Reasoning):

In this step, we can see that 3/4 was added to both sides. This can only mean that the property used here is the Addition property of Equality.

________________________________________________

Option B (Correct/Incorrect)

• This is incorrect

Option B (Reasoning):

In this step, subtraction has not been used. It has been clearly stated that 3/4 was added to both sides.

________________________________________________

Option C (Correct/Incorrect)

• This is incorrect

Option C (Reasoning):

In this step, multiplication has not been used. It has been clearly stated that 3/4 was added to both sides.

________________________________________________

Option D (Correct/Incorrect)

• This is incorrect

Option D (Reasoning):

In this step, division has not been used. It has been clearly stated that 3/4 was added to both sides.

________________________________________________

Option A is correct.

Answer 2

Answer:

Addition property of equality

Step-by-step explanation:

• Here 3/4 is added on both sides by which -3/4 can be cancelled out

Solution afterwards

$\\ \tt\hookrightarrow x=16+3/4$

$\\ \tt\hookrightarrow x=64+3/4$

$\\ \tt\hookrightarrow x=67/4$