x^2+y^2=25 x^2/5^2-y^2/5^2=1 what are the solutions to the nonlinear equations

Question

x^2+y^2=25 x^2/5^2-y^2/5^2=1 what are the solutions to the nonlinear equations

Answer 1

The two equations are

 

     x^2   +    y^2   =   25

 

     x^2   -     y^2   =   25

 

Add them together to get

 

    2 x^2   =  50

 

or   x = +- 5

 

That means  y = 0

Answer 2

The two equations, equivalent, are for a circle centered at the origin, (0, 0), having a radius of 5.

It has unlimited number of solutions. 

Answer 3

4, 3 - for the first one