Find symetric equations for the line of intersection of the planes

[jdj333]

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!

 

[mutton]

I think I add them together and get 9x -y -z = 7.

That is not a line.

The book says that I need to first find a parametric equation then solve for t.

Exactly. See http://www.math.ucla.edu/~ronmiech/Calculus_Problems/32A/chap11/section5/716d13/716_13.html the answer to part (a) for an example.