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The solutions for x, y, and z is { ( (1/3-4l-2m) | 3l | 2m ) }, where y = l and z = m.

I've tried this method, presupposing y = l and m = z, then it came to

I. l = (1 - 3x -2m) / 4

II. m = (1 - 3x -4l) / 2

If I try to put in either (I) or (II) to x, it would come to the first equation.

I don't have any idea what should I do next.

Thanks.