Then I Ctrl+V a paragraph from my notebook.

Below.

According to the meaning of the question

2x+xy+x/y= 100

2xy+xyy+x= 100y

(yy+2y+ 1)x= 100y

(y+ 1)(y+ 1)x = 100y

100=2*2*5*5

So it is divided into two identical factors:

100= 1* 1

*

100

100=2*2

*

25

100=5*5

*

four

100= 10* 10

*

1

Let (y+ 1)(y+ 1) be equal to 1 * 1, 2 * 2, 5 * 5, 10 * 10 respectively.

Y+ 1= plus or minus 1, plus or minus 2, plus or minus 5, plus or minus 10.

The solution is y=0, -2, 1, -3, 4, -6, 9,-1 1, where y = 0 does not meet the meaning of the question.

Then replace the original equation operation with these y values.

The final answer is short.

(I said I did something wrong-

-)