Identify the property that justifies the statement: If 4x - 3 = 7, then 4x = 10. ----- Is this substitution property?

Question

Identify the property that justifies the statement: If 4x - 3 = 7, then 4x = 10. -----> Is this substitution property?

hero · Answer

Are you familiar with the properties of equality such as Addition Property of Equality or Subtraction Property of Equality?

firejay5 · Answer

yes

hero · Answer

So which of those apply here? 

When you perform the following operation:

$$4x - 3 + 3 = 7 + 3$$

Which is adding 3 to both sides, what property is that?

firejay5 · Answer

4x -3 = addition property

hero · Answer

@Firejay5, 4x - 3 is not equal to the addition property. The operation that you perform to get from 4x - 3 = 7 to 4x = 10 uses the addition property of equality.

hero · Answer

So which of those apply here? 

When you perform the following operation:

$$4x - 3 + 3 = 7 + 3$$

Which is adding 3 to both sides, what property is that?

hero · Answer

Are you familiar with the properties of equality such as Addition Property of Equality or Subtraction Property of Equality?

firejay5 · Answer

yes

firejay5 · Answer

Isn't it substitution property

firejay5 · Answer

@Hero Is it not substitution property

hero · Answer

No, it is not substitution property. You're confusing yourself. I know why you think it is substitution property. We haven't solved for x yet.

hero · Answer

We're only trying to figure out the property that is used to get from 4x - 3 = 7 to 

4x = 10

hero · Answer

Trust me, there is no substitution property involved with adding 3 to both sides.

hero · Answer

We're only trying to figure out the property that is used to get from 4x - 3 = 7 to 

4x = 10

firejay5 · Answer

It's saying 4x = 10, replace 4x to 10 to get 10 - 3 = 7

hero · Answer

Negative. That's not what it's saying. I explained it to you already. At this point, you're only confusing yourself.

hero · Answer

Are you familiar with the properties of equality such as Addition Property of Equality or Subtraction Property of Equality?

firejay5 · Answer

10 - 3 = 7 is that not true

hero · Answer

It's true, but substitution property has nothing to do with the question.

firejay5 · Answer

so you are trying to add 3 to both sides to get 10 and then divide 4x by 10

hero · Answer

@Firejay5, I'm only going to show you this once more:

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