Problems with y==x: Division Isolation

I was trying to simplify a transfer function using "isolate" when I noticed that the function fails to perform division in certain cases.

To illustrate such difficulty, I wrote two lines below:

syms x y
isolate(y==x, y/x)

Instead of returning the desired result of y/x == 1, the program instead throws the following error:

Error using sym/isolate

Unable to isolate 'y/x' because the equation has no solution.

I've additionally tried specifying that x is nonzero/positive to no avail.

Is there any reason why "isolate" struggles with this, and is there any other way to compute the desired result y/x==1?

Answer 1

[Walter Roberson]

syms x y yOverx
eqn = y == x

eqn = 

eqn2 = subs(eqn, y, yOverx * x)

eqn2 = 

isolate(eqn2, yOverx)

ans = 

[James Chan]

Thanks for your answer! I still don't see why isolate can't perform division though...