Problem involving polynomial equations

[Byrgg]

Identical squares are cut out from each corner of a rectangular sheet of tin 8cm x 6cm. The sides are bent upward to form an open box. If the volume of the box is 16cm^3, what is the length of each side of the squares cut out from the original sheet?

I came up with the following equations to start, I don't know if they're right though:

xyz = 16cm^3
2x + y = 8
2x + z = 6

I'll try to make a diagram and put it up later, if anyone thinks it would help.

 

[dmoravec]

The equations look good. If you can eliminate either the y or the z from one of the second two equations you can solve it easily.