Problema Solution

The value of z in the system of equations 3x + y+2z=3,2x-3y-z= -3 and x+2y+ z=4 is __________.

Answer provided by our tutors

3x+y +2z =3

y=3 -3x -2z       -(1)

2x- 3y- z=-3

2x-3(3-3x-2z)-z=-3    (from 1)

2x -9 + 9x +6z -z =-3

11x+5z=6           -(2)

x+2(3-3x-2z)+z=4

-5x   -3z =-2     

5x +3z=2

z=1