已知X+Y=2XY,求4X-5XY+4Y 除以X+XY+Y 的值

问题描述:

已知X+Y=2XY,求4X-5XY+4Y 除以X+XY+Y 的值

4X-5XY+4Y=4(X+Y)-5XY=3XY;
X+XY+Y=(X+Y)+XY=3XY;
所以答案是1!

您好:

4X-5XY+4Y 除以X+XY+Y
=[4(x+y)-5xy]÷[(x+y)+xy]
=(4*2xy+5xy)/(2xy+xy)
=13xy/3xy
=13/3

不明白,可以追问如有帮助,记得采纳,
谢谢 祝学习进步!

X+Y=2XY 等式两边同乘以4 4X+4Y=8XY
4X-5XY+4Y=4X+4Y-5XY=8XY-5XY=3XY
X+XY+Y=X+Y+XY=2XY+XY=3XY
4X-5XY+4Y/X+XY+Y=3XY/3XY=1


4X-5XY+4Y
=4【x+y]-5xy
=8xy-5xy
=3xy

X+XY+Y
=3xy

3xy/3xy=1

4X-5XY+4Y=4(X+Y)-5XY=4x2XY-5XY=3XY
X+XY+Y=(X+Y)+XY=2XY+XY=3XY
4X-5XY+4Y 除以X+XY+Y=3XY/3XY=1