SOLUTION: What are the solution set to this problem please. Addition Method {{{x^2+y^2=49}}} {{{y^2-2x=49}}} Thank you!!

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: What are the solution set to this problem please. Addition Method {{{x^2+y^2=49}}} {{{y^2-2x=49}}} Thank you!!      Log On


   

Question 430825: What are the solution set to this problem please.
Addition Method
x%5E2%2By%5E2=49
y%5E2-2x=49
Thank you!!
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

x^2 + y^2 =49
y^2 -2x = 49
or, we can write -y^2 + 2x = -49
now, add this equation to first equation,
x^2 + 2x = 0
=> x(x+2) = 0
so, x= 0 or x= -2
when x=0, then y = -7 or 7
when x= -2, then y = -sqrt(45) or sqrt(45)