Answer:

First, let's eliminate x.  This can be done by taking the equations two at a time and using the elimination method to cancel out x each time.

Start with the first and second equations.  Multiply the first equation by -1 and add it to the second equation to eliminate x.

-x -  y  - z = -4  

 x - 2y - z =  1

    -3y - 2z = -3

Now let's use the first and third equations.  Multiply the first equation by -2 and add it to the third equation.

-2x - 2y - 2z = -8  

2x -  y - 2z  = -1

     -3y - 4z = -9

Next, use the two equations created by those steps to eliminate y.  Multiply the first equation by -1 and add it to the second.

3y + 2z = 3  

-3y - 4z  = -9

      -2z = -6

Solve the resulting equation for z.

-2z = -6  

  z = 3

Substitute 3 for z in one of the two y-z equations and solve for y.

-3y - 2z   = -3  

-3y - 2(3) = -3  

-3y -  6    = -3  

      -3y   = 3  

         y   = -1

Finally, substitute -1 for y and 3 for z in one of the original equations and solve for x.

x +   y +   z = 4

x + (-1) + 3 = 4  

        x + 2 = 4  

              x = 2

The answer is (2, -1, 3).

hope it helps

Step-by-step explanation: