In a linear equation, the variable is a symbol (usually a letter like x, y, or z) that represents an unknown value that we aim to determine.
According to the reference, a linear equation in one variable is expressed as ax + b = 0, where a and b are constants, and x is the variable. The goal is to find the value of x that satisfies the equation.
Key Characteristics of a Variable in a Linear Equation:
- Represents an Unknown: The variable holds the place of a value we need to find.
- Can Vary: Its value can change, and our objective is to find the specific value that makes the equation true.
- Single Solution (in simple cases): A linear equation in one variable typically has one solution, meaning one specific value for the variable makes the equation valid. For example, in the equation 2x + 3 = 8, x is the variable, and its solution is x = 5/2.
Examples of Linear Equations and Variables:
| Equation | Variable |
|---|---|
| x + 5 = 10 | x |
| 3y - 2 = 7 | y |
| -2z + 1 = 0 | z |
