Question

Find the ordered triple of these equations. x + 2y + 2z = 02x + y + z = 3x - 3y - z = 1

Answer 1

{x+2y+2z=0
{2x+y+z=3
{x-3y-z=1

{x+2y+2z=0
-
{4x+2y+2z=6
{-3x=-6  → x=2

{-3y-z=-1
+
{y+z=-1
{-2y=-2  → y=1

{2+2+2z=0 → 2z=-4 → z=-2
Final triple is
(2; 1; -2)