write the general solution to  x+y+z+w=1 x+y-z-w=1 as a vector in the form of y or w

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 18E
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write the general solution to 

x+y+z+w=1

x+y-z-w=1

as a vector in the form of y or w 

 

I've tried this so many times and can't get it right, please explain how you got it. 

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