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Among all solutions that satisfy the homogeneous system

x + 2y + z = 0

2x + 4y + z = 0

x + 2y − z = 0

determine those that also satisfy the nonlinear constraint y − xy = 2z

I know that one of the solutions [0,0,0] but i'm not sure how to find the others. I row reduced the linear system and its general solution isx=y[-2,1,0].

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# Homework Help: Constraint on a linear system?

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