Solve for the required line and show your work

Question

If XZ = 6, YZ = 12, and XW = 3, then what does XY equal?

Answer 1

If the variables can only take on positive integer values, then there's 2 solutions

X=1, Y=2, Z=6, W=3, with XY =2

or

X=3, Y=6, Z=2, W=1 with XY =18

or if negative integers are allowed,

two more solutions

just change the signs to all negative numbers, but XY will still be either 2 or 18

IF you allow fractions, all you know is Y is twice X and Z is twice W, where XY could be any positive real number

X = 6/Z

Y = 12/Z

XY = (6/Z)(12/Z = 72/Z^2 > 0