Let L denote the intersection of the planes x y z = 1 and 2x

Question:

Let L denote the intersection of the planes x − y − z = 1 and 2x + 3y + z = 2. Find parametric equations for the line L. To find a point on L, substitute an arbitrary value for z (say, z = 2) and then solve the resulting pair of equations for x and y.

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