ELEMENTARY ROW operations

Question

Perform specific elementary row operation and type resulting system of equations

-×+y-z=10

3×-2y+6z=4

×+2y+z=5

(Eq1)

(Eq2)

(Eq3)

Answer 1

Are you supposed to reduce the matrix using row operations to get the answers to the system of equations? I'm a little confused by the statement "perform specific row operations"

The initial matrix is:

[ -1 1 -1 | 10 ]

[ 3 -2 6 | 4 ]

[ 1 2 1 | 5 ]

It reduces by row operations to:

[ 1 0 0 | -44/3]

[ 0 1 0 | 5 ]

[ 0 0 1 | 29/3 ]