# Linear Equation

What is a linear equation?

Any equation of the first degree is known as a linear equation.

Linear equation in one variable

It is an equation of the form ax + b = 0, a ≠ 0,

where a and b are constants and x is a variable.

ax + b = 0

is known as the solution or root of the equation ax + b = 0.

Consider the following equations:

1)2x + 1 = 0,

The root of the equation is x = -

3x - 2 = 0,

The equation is x = or it is called the root of the equation.

4x +7= 3

The solution of this equation is 4x = 3 â€“ 7

x =

is the root of the equation.

__POINTS TO NOTE__

The solution of a linear equation is not affected when

1)the same number is either added or subtracted from both sides of the equation.

2) the same non-zero number is multiplied or divided on both sides of the equation.