Solution of an Equation - Definition and Examples
The solution of an equation is a number that makes the equation true. For example, 3 is a solution of the equation x + 4 = 7 since 3 + 4 is equal to 7.
The number of solutions of an equation depends on the equation you are dealing with. Linear equations usually have one solution. Quadratic equations usually have 1 or 2. Polynomial equations with a degree n may have at the most n solutions.
A couple of easy examples showing how to find the solution(s) of an equation
Find the solution of x - 3 = 8
Add 3 to each side of the equation
x - 3 + 3 = 8 + 3
x = 11
The solution of x - 3 = 8 is 11
Find the solution of 4x + 2 = 18
Subtract 2 from each side of the equation
4x + 2 - 2 = 18 - 2
4x = 16
Divide each side by 4
4x / 4 = 16 / 4
x = 4
The solution of 4x + 2 = 18 is 4
For more complicated examples, check this lesson about solving quadratic equations
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