Question

Find the solution to the system of equations.

x - 2y - z= -2
x+2y+
z= 0
y+ 3z = 3
A. x=-1, y = 0, z = 3
B. x= -1, y=-1, z = 0
C.x=-1, y=1, z= 1
D. x=-1, y= 0, z = 1

Answer 1

=> D

X-2y-z=-2
X+2y+z=0
Y+3z=3

2x=-2
X=-1

(-1)+2y+z=0
2y+z=1
Z=-2y+1

Y+3(-2y+1)=3
Y-6Y+3=3
-5y=0
Y=0

Y+3z=3
0+3z=3
Z=1