SOLUTION: {x + y = 9, 1/x + 1/y = 1/2} Find x and y.

Algebra ->  Equations -> SOLUTION: {x + y = 9, 1/x + 1/y = 1/2} Find x and y.      Log On


   

Question 866765: {x + y = 9, 1/x + 1/y = 1/2}
Find x and y.
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
1%2Fx%2B1%2Fy=1%2F2
leads to
%28x%2By%29%2F%28xy%29=1%2F2
but x%2By=9
so
9%2F%28xy%29=1%2F2
this means
y=18%2Fx

which leads to
x%2B18%2Fx=9
x%5E2-9x%2B18=0
so that x=3 or x=6
then we can see:
{ (3,6), (6,3) }