The solution of an equation means the number that the variable must be
in order to make the equation a true statement. If the variable has any
other value, then the equation is not true.
For example, here's an equation:
x - 4 = 2
Can 'x' be 5 ? If it is, then 5-4=2. That's not true, so 'x' can't be 5.
Can 'x' be 9 ? If it is, then 9-4=2. That's not true, so 'x' can't be 9.
Can 'x' be 6 ? If it is, then 6-4=2. That's true. So '6' is the solution to the equation.
A solution to an equation is a set of values for the variables in the equation which make it true.
If you mean: 8x = 120 then the value of x is 15
When you put the number in place of the variable (like maybe the 'x' or the 'y') wherever the variable occurs in the equation, and the statement you get out of all the numbers you have is not true, then you know the number is not a solution.
not always but most of the time yes
plug your answer it to the original question
I assume you mean, in an equation. Such a number is called a "solution" or a "root" of the equation.
The solution set is the answers that make an equation true. So I would call it the solution.
Substitute the number in the equation. If the resulting statement is true the number is a solution to the equation.
A solution to an equation is a set of values for the variables in the equation which make it true.
Any number that makes an equation true is a 'solution of an equation'. it is a solution
A number that makes an equation true is its solution.
Solution. A solution of an equation is a number that satisfy the equation. This means that if you replace this number on the equation and check it, the equation will be true. When you solve an equation you can find some roots, but not all of them satisfy the equation. Thus always check your answers after resolving your equation, and eliminate as solution the answers that don't make the equation true or undefined.
An equation can have zero solutions, one solution, two solutions, or many solutions. A solution is any number that, when replaced into the equation, will give an equality. An example of an equation without a solution is x = x + 1. No matter what number you use for "x", the right part will always be one more than the left part. Therefore, the equation has no solution. (Also, if you subtract "x" from each side, you get the equation 0 = 1, which is obviously false.)
It means that the equation has no way of working it out / There is no answer.
If you mean: 8x = 120 then the value of x is 15
An algebraic equation or inequality can have a solution, an algebraic expression cannot. If substituting a number in place of a variable results in the equation or inequality being a true statement, then that number is a solution of the equation or inequality.
Substitute the value found back into the equation, evaluate the expressions and see if the resulting equation is true.