x=y-3 how to solvw

Question

name the three ordered pairs in the solution set of the given linear equation

Answer 1

Typically, we define x as the independent variable and y as the dependent variable. That means you get to pick anything you want for x and then, when you plug that into the equation, you will solve to find out what y-value goes with the x-value that you picked.

In this case, it would be easier to do that if we did some Algebra and switched the equation around to say "y = something" before we get started picking x-values.

So:

x = y - 3 (add 3 to both sides to get):

x + 3 = y or y = x + 3

Now, pick any number you want for x, how about x = 1. Then plug that into the equation "y = x + 3" to see what y will be. y = 1 + 3, so y = 4. The ordered pair is then (1, 4). You can keep picking x-values and get as many ordered pairs as you want.