Algebra word problem

Question

Find all points having an x-coordinate of 3 whose distance from the point (-2, 7) is 13

Answer 1

Expanding a bit:

The problem is fundamentally about finding 2 unknowns: x and y. To do that, you need 2 equations....

The first equation is based on the statement: "all points with distance of 13 from a stated point"---this is the definition of a circle.

The second equation is simply x=3. Mark M's answer shows 3 substituted into the standard equation of a circle.

To stay out of trouble with things like this, draw a picture. (I'm sure my students get tired of hearing me say this........

Answer 2

Use the distance formula

13² = (3 + 2)² + (y - 7)²

Can you solve for y and answer?