What is the solution set to the following system?

Question

x + y = 5 and x^2 + y^2 = 25

A) (0,-5) (-5,0)
B) (0,5) (-5,0)
C) (0,-5) (5,0)
D) (0,5) (5,0)

Answer 1

I believe the answer is D but I'm not really sure

Answer 2

Did (0,5) and (5,0) satisfy both equations when you substituted ?
If so then you are correct.

Answer 3

Thank you so much!