# Variable Definition

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Variables in an expression or equation are usually represented by alphabets, and this representation implies that they can take in any number as their value unless mentioned specifically. Numbers are constants because they are fixed and cannot be changed, but variables vary because we can assign any number to them. Therefore variables are included in most of the math concepts. In a given equation, these variables are placed alongside constants and the main purpose of solving any equation is to find the value of the variable given in the equation.

Example 1: Solve the given equation to find the value of the variable, 2x + 8 = 12.
Given equation: 2x + 8 = 12

In the above equation, the variable is the alphabet ‘x’ since variables are always represented by letters.

Solving the equation means to find the value of ‘x’ in the given equation.

2x + 8 = 12 -> 2x = 12 – 8 -> 2x = 4.

This gives: x = 4/2 -> x = 2.

Hence the value of the variable, x = 2.

Example 2: Solve the given equation to find the value of the variable, 3a - 7 = 5

Given equation: 3a – 7 = 5

In the above equation, the variable is the alphabet ‘a’ since variables are always represented by letters.

Solving the equation means to find the value of ‘a’ in the given equation.

3a – 7 = 5 -> 3a = 5 + 7 -> 3a = 12.

This gives: a = 12/3 -> a = 4.

Hence the value of the variable, a = 4.