I have have shown that $k$ is a common multiple of the $\exp(H_i)$. Since $m$ is the least common multiple of the $\exp(H_i)$, then $k$ is a multiple...
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...