SOLUTION: non linear equation xy=1 and x+y=2

Algebra ->  Systems-of-equations -> SOLUTION: non linear equation xy=1 and x+y=2      Log On


   

Question 271096: non linear equation xy=1 and x+y=2
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
non linear equation xy=1 and x+y=2
---
y = 1/x
---
substitute and solve for "x":
x + 1/x = 2
x^2 + 1 = 2x
x^2-2x+1 = 0
(x-1)(x-1) = 0
x = 1
---
Substitute into xy = 1 to solve for "y":
1*y = 1
y = 1
===================
Cheers,
Stan H.