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**1. The problem statement, all variables and given/known data**

Calculate the volume of the body that is bounded by the planes:

x+y-z = 0

y-z = 0

y+z = 0

x+y+z = 2

**2. Relevant equations**

**3. The attempt at a solution**

I made a variable substitution

u = y+z

v = y-z

w = x

which gave me the new boundaries

u+w = 2

v+w = 0

v = 0

u = 0

Problem is, I must have slept late the day they taught this is class. What do I do to determine which way these inequalities go?!?