There is no simple way which can be easily applied to all forms of equations. If the variable(s) can be eliminated from the equation then, if what is left is
The problem is complicated by the domains under consideration. The following are some examples of equations which have no solutions in one domain but do in another [larger] domain:
You may need to actually solve the equation.
16 = 16 is an identity, not an equation. An identity does not have solutions.
If the equation is an identity.
If this value a satisfy the equation, then a is a solution for that equation. ( or we can say that for the value a the equation is true)
An equation is equivalent to another equation, if they have the same solution.
It is true for all permissible values of any variables in the equation. More simply put, it is always true.
16 = 16 is an identity, not an equation. An identity does not have solutions.
If the equation is an identity.
If this value a satisfy the equation, then a is a solution for that equation. ( or we can say that for the value a the equation is true)
An equation is equivalent to another equation, if they have the same solution.
It is true for all permissible values of any variables in the equation. More simply put, it is always true.
The equation or a system of equations having infinite solutions is called identity/identities. (a+b)^2=a^2+2ab+b^2 is an identity. It has infinite solutions. The equation is true for all values of a and b.
An identity equation has infinite solutions.
a solution to an equation is the answer
An equation has an equal sign, which means that we know what the variable is equal to :)
A situation equation follows the order of the story problem.For instance:Johnny has 8 apples, he eats some, and has 3 left.The situation equation would be: 8 - a = 3A solution equation is the equation that would help you find the solution. Your brain doesn't automatically know what "a" is, it has to rearrange the order of the equation and then solve.The solution equation would be: 8 - 3 = a, then you would solve it.
A solution is the answer to an equation.
An equation that has no solution is called an equation that has no solution.