One part was overlooked that a+b - ab = 0 or (a-1)(b-1) =1 this is pssible for positive a, b ( for example a = 1.5, b= 3) but not for given condition...
Solving those equations as in my previous comment, you get $wx = 157.22$, $wy = 102.18$ and $wz = 16.86$. (I had a different value for $wz$, but that...
As topsquark points out, equations 1. and 3. are incompatible as they stand. But suppose we change the constant on the right side of equation 3. from...