Question

How many real solutions does this system of equations have? x^2 + y^2=25 and x-3y=15

Answer 1

sIMPLY Solve Equations x^2 + y^2=25 and x-3y=15

Answer 2

Can you give me a hint of how to start to solve, cause I have no idea?

Answer 3

You could set it up in the form: \(y=\sqrt{x^2-z^2}\). You will see that you get a easily factorable quadratic that for which you'll get two roots.

Answer 4

still dont get it

Answer 5

Do you recognize that the first equation is a circle with center at the origin and radius 5?

Answer 6

yes i see now thats a circle

Answer 7

Now solve the linear equation for y and graph it.

Answer 8

Can you do that?

Answer 9

yes

Answer 10

when i solve for y i get -x/3-5 is that correct

Answer 11

I got 1/3x - 5

Answer 12

yea i did it again and thats what i got too

Answer 13

Can you graph that?