SOLUTION: Solve the following systems of equations and find all possible solutions as (x,y). {{{x^2+y^2=25}}} {{{x^2-y^2=7}}}

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve the following systems of equations and find all possible solutions as (x,y). {{{x^2+y^2=25}}} {{{x^2-y^2=7}}}      Log On


   

Question 629077: Solve the following systems of equations and find all possible solutions as (x,y).
x%5E2%2By%5E2=25
x%5E2-y%5E2=7
Answer by meetkisai(17) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2By%5E2=25 ----- A
x%5E2-y%5E2=7 ------ B
using elimination method
=> +2x%5E2+=+25+%2B+7+
=> +x%5E2+=+32+%2F+2
=> x = (4, -4)
Let x = 4 => +4%5E2+-+y%5E2+=+7 ---- B
=> y = (3, -3)
Hence (x, y) = {(4, -3), (-4, -3) (4, 3), (-4, 3)}