# Math - intersection of planes

posted by
**Shaila**
.

You are given the following two planes:

x+4y-3z-12=0

x+6y-2z-22=0

a) Determine if the planes are parallel

b) Fine the line of intersection of the two planes.

c) Use the two original equations to determine two other equations that have the same solution as the original two.

d) Find a third equation that will have a unique solution with the original two equations.