X+y+z=0 (1) 2x+4y+2z=12 (2) -x+9y-3z=66 (3) solve the system of equations a single solution?(in simplified dorm) infinitely many solutions? or the system is inconsistent.(empty set)

.

Step-by-step explanation:

We have been given a system. We are asked to solve our given system of equations.

From equation (1), we will get:

Upon substituting this value in equation (2), we will get:

Upon substituting in equation (3), we will get:

Let us solve for x as:

Therefore, the solutions of our given system is .