Solve the system x y 4z 4 2x z 0 x 2y z 8Solution2x

Solve the system

x - y + 4z = -4

2x + z = 0

x + 2y + z = 8

2x + z = 0=>z =-2x

x - y + 4z = -4

=>x-y+4(-2x)=-4

=>7x+y =4----------->(1)

x + 2y + z = 8

=>x +2y-2x=8

=>x -2y=-8---------->(2)

2*(1) +2

14x+2y +x-2y=8-8

=>15x=0 =>x =0

7x+y =4 , x =0 =>7*0+ y =4 =>y =4

z =-2x , x =0 => z =-2*0=> z =0

(x,y,z)=(0,4,0) is the solution