Step 1:

The system of equations are .

To eliminate the y value add the equations (1) and (2).

                                     (4)

Multiple to each side the equation (2) by 2 and multiple to each side the equation (3) by 3 .

Subtract the above two equations.

Step 2:

Multiple to each side the equation (4) by 13 and multiple to each side the equation (5) by 4 .

Add the above two equations.

Substitute z = 2 in (4).

Substitute x = 2 and z = 2 in (1).

Solution:

x = 2 , y = -2  and z = 2 .