Question 122285
All you need to do is plug all given values into the approperate variable and then see if all 3 equations do equal what they should.<br>

3x + 3y + 2z = 4
 x -  y -  z = 0
     2y - 3z = -8<br>

x= 1, y= -1, z= 2<br>

3(1)+3(-1)+2(2) =4
3 -3 +4 = 4
4 = 4<br>

1 +1 - 2 = 0
2 - 2 =0
0 = 0<br>

2(-1) - 3(2) = -8
-2 -6 = -8
-8 = -8<br>

since all three check out then x= 1, y= -1, z= 2 is a solution to the system of equations.