SOLUTION: With these equations: z=x-y+4, z=y-w-3, and z=w-x+5 , what is the value of z?

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Question 136801: With these equations: z=x-y+4, z=y-w-3, and z=w-x+5 , what is the value of z?
Answer by solver91311(12118) About Me  (Show Source):
You can put this solution on YOUR website!
z=x-y%2B4
z=y-w-3
z=w-x%2B5

z=x-y%2B4 => x=z%2By-4, so

z=w-x%2B5 => z=w-%28z%2By-4%29%2B5 => 2z+=+w-y%2B9

z=y-w-3 => y=z%2Bw%2B3, so

2z+=+w+-+%28z%2Bw%2B3%29+%2B9 => 2z=-z%2B6 => 3z=6 => z=2