What does it mean for a number to be the "solution" to an equation?

Give an example of a variable equation and its solution.
Explain in complete sentences how you know that number is the solution.

Question

What does it mean for a number to be the "solution" to an equation? 



Give an example of a variable equation and its solution.
Explain in complete sentences how you know that number is the solution.

anonymous · Answer

It means that it makes the equation true.
2x = 0
x = 0 is a solution.
Divide both sides by 2 to get x = 0

anonymous · Answer

it means that if a number which is a solution is put in the equation the equation will get equal to 0

example 

y^2 + y -6 is an equation and 2 is the solution of the equation 

if we put 2 in the equation the answer will be zero

4+2-6=0

anonymous · Answer

A solution to an equation is a value of the variable such that when you plug that value back into the original equation, you get a true statement.

anonymous · Answer

The value of the equation does not need to be zero.  You only need to have a true statement in general when plugging the value of the variable back in.  For instance, the equation 2x + 5 = 3x - 2 has solution x = 7 since when you plug it in, you get the statement 19 = 19, which is true.