Solve the system using elementary row operations
$6x + 4y - 3z = 26$
$-x - 6y + 6z = 1$
$-6x + y - 4z = -31$
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 z in the answer blank for z, enter a formula for y in terms of z in the answer blank for y and enter a formula for x in terms of z in the answer blank for x.
If there are no solutions, leave the answer blanks for x, y and z empty.
$x = \frac{120}{241}$
$y = \frac{3}{8}$