SOLUTION: X+2y=-6 Y+2z=11 2x+z=16 Please solve for x, y, and z. Thank you.

Algebra ->  Linear-equations -> SOLUTION: X+2y=-6 Y+2z=11 2x+z=16 Please solve for x, y, and z. Thank you.      Log On


   



Question 908064: X+2y=-6
Y+2z=11
2x+z=16
Please solve for x, y, and z. Thank you.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!

X is not the same as x
Y is not the same as y
(4,-5,8)
x+2y+0z=-6,
0x+y+2z=11,
2x+0y+z=16
y=11-2z
x=-6-2y
z=16-2x
x=-6-2y
2x+0y+z=16
2(-6-2y)+z=16
-12-4y+z=16
-4y+z=28
-4(11-2z)+z=28
-44+8z+z=28
9z=72
z=8
y=11-2z
y=11-(2*8)
y=11-16
y=-5
2x+z=16
2x+8=16
2x=8
x=4