SOLUTION: 2x+3y=6xy x-y=xy

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Question 845960: 2x+3y=6xy
x-y=xy
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2B3y=6xy
+x-y=xy
From eq. 2,
x-y=xy
x=xy%2By
x=y%28x%2B1%29
y=x%2F%28x%2B1%29
Substitute into eq. 1,
2x%2B3x%2F%28x%2B1%29=6x%28x%2F%28x%2B1%29%29
2x%28x%2B1%29%2B3x=6x%5E2
2x%5E2%2B2x%2B3x=6x%5E2
4x%5E2-5x=0
x%284x-5%29=0
Two solutions:
x=0
Then
y=0%2F%280%2B1%29=0
and
4x-5=0
4x=5
x=5%2F4
and
y=%285%2F4%29%2F%285%2F4%2B1%29=%285%2F4%29%2F%289%2F4%29=5%2F9