really hard puzzle, noone has solved yet...

[ddubois]

Can someone with mathlab or whatever solve for:
37x + 24y + 23z = 125
30x + 49y + 32z = 167
51x + 38y + 57z = 195
then see if the solution works for
56x + 44y + 57z = 231 and 76x + 68y + 73z = 287?

I tried to do it by hand, but when I got to "51 * ( 125/37 - 24/37 * (3465/1093 - 494/1093 * z) - 23/37 * z) + 38 * (3465/1093 - 494/1093 * z) + 57 * z = 195" I said [censored] this and quit.