已知X+Y=3XY,求2X+2Y-XY除以X+Y+2XY的值,要算理.已知X+Y=3XY,求2X+2Y-XY除以X+Y+2XY的值_数学解答

已知X+Y=3XY,求2X+2Y-XY除以X+Y+2XY的值,要算理.
已知X+Y=3XY,求2X+2Y-XY除以X+Y+2XY的值,要算理.

人气：360 ℃　时间：2019-09-11 11:55:05

解答

由X+Y=3XY可得X+Y-XY=2XY,
用X+Y-XY替换分母中的2XY,
所以(2X+2Y-XY)/(X+Y+2XY)=(2X+2Y-XY)/(2X+2Y-XY)=1