Question 1081491
w width
h height
L length

{{{system(w=h+4,L=h-9,whL=180)}}}


First two equations  formulas in terms of h.
{{{system(w=h+4,L=h-9)}}}


Substitute into the volume equation:
{{{(h+4)*(h-9)h=180}}}
-
{{{(h^2+4h-9h-36)h=180}}}
{{{h^3-5h^2-36h-180=0}}}


Using graphing software, taking a decimal approximation for the one real root, h=10.235; and then w and L can be evaluated.


Maybe the "difference" interpretation was the wrong one, and different results might happen if,  {{{L=9-h}}}, but you can try that if you want, and solve to see what you get.