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

To be the solution of a equation, I believe there are long and mathematical rigorous definitions about that, but one easy way is to say: a solution of an equation is any variable that leads to a true statement.

For instance

$$ f(x) = 2x+3=7$$ x=2 is a true statement and therefore a solution of this equation, x=27 is not a true statement, and therefore not a solution of this equation.