I need 3 ordered pairs of points that would be solutions to this equation I have an idea of what suppose to fit because I think this equation has infinate solutions. What do you all think. Thank you!

4x - y = 7

It is a line. Yes, there are many points on a line, an infinite number.

There is one for every x you can think of, so try some like x = -1, x = 0, and x = 1
find the y from the equation for each of those x values. or for any other numbers like x = 5.7842789

Would (2,1) (3,5) (4,9) work to make this true? 4x - y = 7? X representing the first number in the pair, and y the second? Thanks!

Yes, those work.

Are you a math teacher by any chance?

Nope - retired engineering professor

To find ordered pairs of points that are solutions to the equation 4x - y = 7, we need to substitute values for x and solve for y. Since you believe this equation has infinite solutions, we can choose any values of x and find the corresponding values of y. Here are three examples:

1. Let's start by letting x = 0:
Substituting x = 0 into the equation, we get:
4 * 0 - y = 7
Simplifying, we have -y = 7
To solve for y, we multiply both sides by -1, which gives us:
y = -7
Therefore, the first ordered pair is (0, -7).

2. Let's choose another value for x, say x = 2:
Substituting x = 2 into the equation, we have:
4 * 2 - y = 7
Simplifying, we get 8 - y = 7
To solve for y, we subtract 8 from both sides:
-y = 7 - 8, which gives us:
-y = -1
Multiplying both sides by -1, we find y = 1
So, the second ordered pair is (2, 1).

3. For the third example, let's choose x = -3:
Substituting x = -3 into the equation, we get:
4 * -3 - y = 7
Simplifying, we have -12 - y = 7
To solve for y, we add 12 to both sides:
-y = 7 + 12, which gives us:
-y = 19
Again, we multiply both sides by -1 to find y = -19
Therefore, the third ordered pair is (-3, -19).

These are just a few examples of ordered pairs that satisfy the equation 4x - y = 7. Since the equation is linear and has two variables, there are actually infinitely many solutions that can be found by choosing different values for x and solving for y.