What is the Solution of an equation?

An equation is said to be satisfied when its L.H.S. is equal to R.H.S after replacing the variable with a numerical value.

The value of a variable that can satisfy an equation is called the Solution of that equation. For example,

Consider the equation 6x + 3 = 21.

 

When x = 3 is put in the L.H.S, of this equation, then L.H.S. = 6(3) + 3 = 18 + 3 = 21 = R.H.S.

Thus, x = 3 satisfies the equation 6x + 3 = 21.

 

Hence, x = 3 is the solution of the equation 6x + 3 = 21.

 

What is a Linear equation in one variable?

An equation that consists of only one variable and whose highest power in the equation is 1 is called a Linear equation in one variable. They are also called as First degree equations in one variable.

For example,