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

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

Let's say you have an equation

$$x + 2 = 3$$

The equation basically tells you that a variable (x) + 2 = 3
A variable doesn't have any defined value, theoretically it can take on any value.

However, in this case, the equation can only be true, if 
$$x +2 -2 = 3 -2$$
$$x = 1$$

So you know that the variable x must be 1, in order for the equation to be true.