I have been given a system of equations that appears below:

2x - 7y + 5z = 1

6x + 3y - z = -1

-14x - 23y + 13z = 5

I am told to find an vector equation of the line that is formed by the intersection of these three planes. I could use some step by step instructions, or a link to a resource that explains it well, because as of yet I have found nothing.

Thanks,

Peter