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4. Identify which statement is incorrect.

A. Assets [tex]$=$[/tex] liabilities + equity

B. Equity [tex]$=$[/tex] assets - liabilities

C. Equity - liabilities [tex]$=$[/tex] assets

D. Liabilities = assets - equity


Sagot :

Sure! Let's go step-by-step to analyze which statement is incorrect:

Firstly, we need to understand the fundamental accounting equation, which is:

[tex]\[ \text{Assets} = \text{Liabilities} + \text{Equity} \][/tex]

Let’s now evaluate each given statement in the context of this fundamental equation:

### Statement A: [tex]\(\text{Assets} = \text{Liabilities} + \text{Equity}\)[/tex]

This statement is essentially the fundamental accounting equation itself. Therefore, it is correct.

### Statement B: [tex]\(\text{Equity} = \text{Assets} - \text{Liabilities}\)[/tex]

If we rearrange the fundamental accounting equation:

[tex]\[ \text{Assets} = \text{Liabilities} + \text{Equity} \][/tex]

Subtracting [tex]\(\text{Liabilities}\)[/tex] from both sides gives us:

[tex]\[ \text{Equity} = \text{Assets} - \text{Liabilities} \][/tex]

Therefore, this statement is correct as well.

### Statement C: [tex]\(\text{Equity} - \text{Liabilities} = \text{Assets}\)[/tex]

Now consider this equation. If we start from the equation:

[tex]\[ \text{Equity} = \text{Assets} - \text{Liabilities} \][/tex]

and try to rearrange it to match statement C, we get:

[tex]\[ \text{Equity} - \text{Liabilities} \neq \text{Assets} \][/tex]

This does not hold true because it contradicts the fundamental equation. Therefore, statement C is not correct.

### Statement D: [tex]\(\text{Liabilities} = \text{Assets} - \text{Equity}\)[/tex]

Starting from the fundamental accounting equation:

[tex]\[ \text{Assets} = \text{Liabilities} + \text{Equity} \][/tex]

Subtracting [tex]\(\text{Equity}\)[/tex] from both sides gives us:

[tex]\[ \text{Liabilities} = \text{Assets} - \text{Equity} \][/tex]

Thus, this statement is correct.

After the analysis, we can conclude that statement C is incorrect.