SOLUTION: The following is a non-linear system...solve it: 1/x + 2/y = 3 2/x + 1/y = 4

Algebra ->  College  -> Linear Algebra -> SOLUTION: The following is a non-linear system...solve it: 1/x + 2/y = 3 2/x + 1/y = 4      Log On


   

Question 35915: The following is a non-linear system...solve it:
1/x + 2/y = 3
2/x + 1/y = 4
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
The following is a non-linear system...solve it:
1/x + 2/y = 3
2/x + 1/y = 4
YOU CAN EASILY CONVERT IT INTO SIMPLE EQN.BY PUTTING
1/X=A.....AND ....1/Y=B...WE GET
A+2B=3...............I
2A+B=4..................II
EQN.I*2-EQN.I GIVES
2A+4B-2A-B=6-4=2
3B=2....OR.....B=2/3
HENCE
A=3-2*2/3=5/3
HENCE
X=1/A=3/2
Y=1/B=3/5