Solve the system using the supstitution or elimination method ) 2x-6y=-9 -3x+9y=12 How many solutions are there to this system? A. None B. Exactly 1 C. Exactly 2 D. Exactly 3 E. Infinitely many F. None of the above If there is one solution, give its coordinates in the answer spaces below. If there are infinitely many solutions, enter x in the answer blank for a and enter a formula for y in terms of x in the answer blank for y. If there are no solutions, leave the answer blanks for x and y empty. x=square (i) y=square (i)

To solve the system of equations, we can use the elimination method. <br /><br />First, let's multiply the first equation by 3 and the second equation by 2 to make the coefficients of x in both equations equal:<br /><br />$\begin{cases} 6x - 18y = -27\\ -6x + 18y = 24\end{cases}$<br /><br />Now, we can add the two equations together to eliminate x:<br /><br />$(6x - 18y) + (-6x + 18y) = -27 + 24$<br /><br />This simplifies to:<br /><br />$0 = -3$<br /><br />Since this equation is not possible, there are no solutions to the system of equations.<br /><br />Therefore, the answer is A. None.