A very common error observed in addition of linear expression is `5y+3=8y`.
This type of error is termed as

Options

A. Careless error
B. Clearical error
C. Conceptual error
D. Procedural error

Answer

To solve the question regarding the common error in the addition of linear expressions, we need to analyze the expression given and identify the nature of the error.

### Step-by-Step Solution:

1. **Identify the Expression**: The expression given is \(5y + 3\).

2. **Understand the Operation**: The operation indicated is addition. We are supposed to add \(5y\) and \(3\).

3. **Perform the Addition**: When adding \(5y\) and \(3\), we cannot combine them directly since they are not like terms. The correct result of the addition is:
\[ 5y + 3 \text{ (remains as it is)} \]

4. **Recognize the Error**: The error made is writing \(5y + 3 = 8y\). This indicates a misunderstanding of how to combine terms in an algebraic expression.

5. **Classify the Error**: The error can be classified based on the options provided:
- **Clerical Error**: Mistakes in writing or copying.
- **Careless Error**: Simple mistakes due to lack of attention.
- **Conceptual Error**: Misunderstanding of the underlying mathematical concepts.
- **Procedural Error**: Mistakes in the steps of a procedure.

6. **Determine the Correct Classification**: Since the mistake arises from a misunderstanding of how to add the terms correctly (not recognizing that \(5y\) and \(3\) are not like terms), this is best classified as a **conceptual error**.

### Final Answer:
The type of error observed in the addition of the linear expression \(5y + 3 = 8y\) is termed as a **conceptual error**.

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