Question

What does "solution" mean?
What does it mean for a point to be a solution to a linear
equation?
For example, if I say, " (2,5) is a solution to the
equation y = 2x + 3," how could you check my claim?

Answer 1

Answer:

A solution to a linear equation means that the ordered pair is a point that lies on that line.

If someone were to say (2,5) is a solution to the equation y= 2x+3, you could check them by plugging in 2 where the variable "x" and seeing if y =5.

In this case,

y= 2(2)+3

y=7

(2,5) is not a solution.