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The question asks which of the given equations is a linear equation in one variable.

Let's examine each option:

1. **\( 2x + 5 = 14x \)**  
   This is a linear equation because it can be written as \( 2x - 14x = -5 \) or \( -12x = -5 \), which is in the form \( ax + b = 0 \), representing a linear equation in one variable \( x \).

2. **\( 2x + 5y = 14 \)**  
   This equation involves two variables, \( x \) and \( y \), so it is **not** a linear equation in one variable.

3. **\( 2x^2 + 5 = 4 \)**  
   This is a quadratic equation because it contains \( x^2 \), meaning it is not linear.

4. **\( \frac{2}{x} + 3x = 0 \)**  
   This is not linear because \( \frac{2}{x} \) is not a linear term. It contains a variable in the denominator.

### Conclusion:
The correct answer is **(i) \( 2x + 5 = 14x \)**,** which is the linear equation in one variable.

Would you like more details on how to solve these types of equations, or do you have any questions?

Here are some related questions to consider:
1. How do you solve linear equations in one variable?
2. What makes an equation quadratic instead of linear?
3. Can linear equations have more than one variable?
4. How do you handle equations with variables in the denominator?
5. What are the general forms of linear and quadratic equations?

**Tip:** Always check for powers of the variable or multiple variables to determine if an equation is linear.

Which of these equations is a linear equation in one variable? 
Options:
(i) 2x + 5 = 14x
(ii) 2x + 5y = 14
(iii) 2x^2 + 5 = 4
(iv) 2/x + 3x = 0

This question helps students identify linear equations in one variable among given options. It covers core algebra concepts, suitable for Grade 8 students.

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