Solve the system by finding the reduced row-echelon form of the augmented matrix.

x-4y-2z=2

2x-11y-10z=13

-x+6y+6z=-8

reduced row-echelon form:

1 -4 -2 2

0 1 -10 -3

0 0 0 0

(It's wrong, and I don't know why ? )

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 , enter a formula for in terms of in the answer blank for and enter a formula for in terms of in the answer blank for .

If there are no solutions, leave the answer blanks for , and empty.

How can I find my X, Y ,Z ? Is it going to be Zero ?!

The reduced row-echelon form is

The solutions to the system of equations are:

Step-by-step explanation:

To solve this system of linear equations,

you must:

Step 1: Transform the augmented matrix to the reduced row echelon form.

In an augmented matrix, each row represents one equation in the system and each column represents a variable or the constant terms.

This is the augmented matrix that represents the system.

It can be transformed by a sequence of elementary row operations to the matrix.

There are three kinds of elementary matrix operations.

Using elementary matrix operations, we get that

Row Operation 1: add -2 times the 1st row to the 2nd row

Row Operation 2: add 1 times the 1st row to the 3rd row

Row Operation 3: multiply the 2nd row by -1/3

Row Operation 4: add -2 times the 2nd row to the 3rd row

Row Operation 5: add 4 times the 2nd row to the 1st row

Step 2: Interpret the reduced row echelon form

The reduced row echelon form of the augmented matrix is

which corresponds to the system

The system has infinitely many solutions.

were is the equation