Solve for X in the 2nd equation:
x+2z = 0
Subtract 2z from both sides:
x = -2z
Replace x in the first equation with -2z
-2z +y -z = 1
Combine like terms:
-3z +y = 1
Add 3z to both sides:
y = 3z +1
Replace x and y in the 3rd equation:
2(-2z) + 2(3z+1) = 4
-4z + 6z + 2 = 4
2z +2 = 4
2z = 2
z = 1
Now replace z with 1 in the other equations for x and y:
x = -2z = -2(1) = -2
y = 3z +1 = 3(1) +1 = 3+1 = 4
So you have x = -2, y = 4 ans z = 1
The answer would be written as (-2,4,1)
