Use the substitution method to solve the given system of equations. - 6y+18=12x and y=3-2x

We are given that y = 3 - 2x

We will substitute with this value in the second equation as follows:

-6y + 18 = 12x

-6 (3-2x) + 18 = 12x

-18 + 12x + 18 = 12x

This will give us zero = zero

A 0=0 solution means that the system has infinitely many solutions.

Therefore, the answer is (c)