X, Y, and Z satisfy:
 X - Y - Z = 0 and 2X + Y + 3Z = 0
 If Z is nonzero, what is the ratio of X to Z?

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X - Y - Z = 0 so Y = X - Z 
2X + Y + 3Z = 0 so  Y = -2X - 3Z
Therefore, X - Z = -2X - 3Z or 3X = -2Z or X/Z = -2/3