# Variables in Math

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Variables are the letters or alphabets like x, a b, c, y, p, t etc. and they are predominantly used in math almost everywhere. These variables are especially useful in algebraic expressions and in solving algebraic equations. The significance of variables is due to the reason that variables can be assigned any number according to the given question and this helps us evaluate the values of the algebraic expressions in different cases. Therefore variables in math are very helpful and play a significant role in math calculations.

Example 1: Solve the given equation to find the value of the variable, 7a + 4 = -10

Given equation: 7a + 4 = -10

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.

7a + 4 = -10 -> 7a = -10 – 4 -> 7a = -14

This gives: a = -14/7 ->a = -2.

Hence the value of the variable, a = -2.

Example 2: Solve the given equation to find the value of the variable, 6x – 5 =19

Given equation: 6x – 5 = 19

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.

6x – 5 = 19 -> 6x = 19 + 5-> 6x = 24.

This gives: x = 24/6 -> x = 4

Hence the value of the variable, x = 4.