Thread: Solving a nonlinear system

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

I can't figure out how to do this problem. It looks fairly simple, but I keep getting answers that don't make sense.

x=5-y so (5-y)^2+y^2=25

That's what i got, but it's a multiple choice question and the options are A. (0,5) and (5,0) B.(5,-5) and (-5,-5) C.(0,-5) and (-5,0) and D.(0,0) and (5,-5)
If you continue 25-y^2+y^2=25
25=25? does that mean x and y are 0?

Finish it.

Originally Posted by hubbabubba590

That's what i got, but it's a multiple choice question and the options are A. (0,5) and (5,0) B.(5,-5) and (-5,-5) C.(0,-5) and (-5,0) and D.(0,0) and (5,-5)
If you continue 25-y^2+y^2=25
25=25? does that mean x and y are 0?

If it's a multiple choice question, you could just substitute each of the possibilities into your system and see which one satisfies the equations...