#### Answer

no solution and never intersect , so $y=\dfrac{x+6}{3}$ and $y=\dfrac{x-6}{3}$

#### Work Step by Step

To solve the given problem we will have to plug the simplest equation into the other equation and then solve for the other variable.
As we are given that $x-3y=-6$ and $x-3y=6$
This gives no solution.
Hence, both the equations gives no solution and never intersect , so $y=\dfrac{x+6}{3}$ and $y=\dfrac{x-6}{3}$