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# Variables in Mathematics

October 17, 2023
written by Rida Mirza

In mathematics, a variable is a symbol that represents an unknown or changing value. Variables are commonly represented by letters like x, y or n. They’re like the puzzle pieces that help us solve mathematical mysteries.

In this article, we will understanding the concept of variables in mathematics.

## Parts of Equation

Equations in Mathematics are formed of different parts. They are:

1: Variable

2: Constant

3: Coefficient

4: Operators

5: Term

### Example

In equation, 2x + 3 = 7

x is a variable

2 is a coefficient of x

3 , 7 are constants

and + is operator.

## Examples of Variables

1: x in 2x + 3 = 7: Here, ‘x’ is a variable. It represents an unknown number.

2: y in 3y – 5 = 10: Similar to the previous example, ‘y’ is a variable representing an unknown value.

## Types of Variables

• Independent variables
• Dependent variables

### Independent variables

Represents an input value that influences another value. In y=3x+5, x is the independent variable.

### Dependent variables

Represents an output value that depends on an independent variable. In y=3x+5, y is the dependent variable.

## Rules for Variables

Variables in math follow certain rules:

• Can only represent single numbers or values, not operations or expressions. For example, x cannot equal x + 1.
• Cannot represent multiple values at the same time. X cannot equal 2 AND 3 simultaneously.
• Are case sensitive. X and x represent different variables.
• Can use any letter, but common conventions are to use letters at the end of the alphabet like x, y, z.

Understanding how to properly use variables helps provide a crucial foundation for algebra, calculus, physics, chemistry, economics, and more advanced fields.

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