Find symetric equations for the line of intersection of the planes

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Homework Statement



Find symmetric equations for the line of intersection of the planes

Homework Equations



5x - 2y - 2z = 1

4x + y + z = 6

The Attempt at a Solution



I interpret this problem to say that I need to find a line of intersection of the two planes. I think I add them together and get 9x -y -z = 7.

After which, I need to find symmetric equations of that line and I think that is what I am having trouble with. I would like a little background into what a symmetric equation is. The book says that I need to first find a parametric equation then solve for t. Thanks!
 

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