SOLUTION: I'm in the 8th grade and I don't understand the following problem: Determine all the values of x and y such that xy, x/y and x-y are all equal. I know that x and y can not e

Question 28662: I'm in the 8th grade and I don't understand the following problem:
Determine all the values of x and y such that xy, x/y and x-y are all equal.
I know that x and y can not equal zero.
Thanks you for your help.
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Determine all the values of x and y such that xy, x/y and x-y are all equal.
LET US TAKE THE FIRST 2
XY=X/Y
Y^2=1
Y=1 OR -1
NOW LET US TRY THESE VALUE IN THE OTHER AND CHECK
XY=X-Y
CASE 1....Y=1
X=X-1....IMPOSSIBLE
CASE2...Y=-1
-X=X+1
-2X=1X=-1/2...SO THE POSSIBLE SOLUTION IS
X=-1/2 AND Y=-1...CHECK...WE GET
XY=-(1/2)*(-1)=1/2
X/Y=-(1/2)/(-1)=1/2
X-Y=-(1/2)-(-1)=1/2...OK...

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