Final answer:
The two lines are coincident and intersect at infinitely many points.
Step-by-step explanation:
To find the point at which these two lines intersect, we can equate the two equations and solve for the values of x and y that satisfy the system of equations. By substituting the value of y from the first equation into the second equation, we get:
12x + 2(-6x + 51) = 102
Simplifying this equation, we get: 12x - 12x + 102 = 102.
So, the x-coordinate is eliminated, and we are left with the equation 102 = 102. This equation is true for all values of x and y, which means the two lines are coincident and intersect at infinitely many points.