# Math - Intersection of planes

posted by
**Shaila** on
.

You are given the following two planes:

x+4y-3z-12=0

x+6y-2z-22=0

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

ANS: the original two are not parallel in anyway so can I just take multiples of the original two OR is there any other way to find them?

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