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

Answer 1

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

Answer 2

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.