Math Problem Statement
Solution
The question asks which of the given equations is a linear equation in one variable.
Let's examine each option:
-
This is a linear equation because it can be written as or , which is in the form , representing a linear equation in one variable . -
This equation involves two variables, and , so it is not a linear equation in one variable. -
This is a quadratic equation because it contains , meaning it is not linear. -
This is not linear because is not a linear term. It contains a variable in the denominator.
Conclusion:
The correct answer is (i) ,** 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:
- How do you solve linear equations in one variable?
- What makes an equation quadratic instead of linear?
- Can linear equations have more than one variable?
- How do you handle equations with variables in the denominator?
- 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.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Variables
Formulas
Linear equation form: ax + b = 0
Theorems
Definition of linear equations
Suitable Grade Level
Grade 8