Question

Please help me on my system of equations!!

w+2x+2y+z=-2
w+3x-2y-z=-6
-2w-x+3y+3z=6
w+4x+y-2z=-14

Answer 1

w+2x+2y+z=-2 ...(1)
w+3x-2y-z=-6 ...(2)
-2w-x+3y+3z=6 ...(3)
w+4x+y-2z=-14 ...(4)
(2)-(1) gives
x-4y-2z=-4 ...(5)
(3)+2(2) gives
5x-y+z=-6 ...(6)
(4)-(2) gives
x+3y-z=-8 ...(7)
(5)+2(6) gives
11x-6y=-16 ...(8)
(6)+(7) gives
6x+2y=-14 ...(9)
(8)+3(9) gives
29x=-58
x=-58/29=-2
put x=-2 in (9)
-12+2y=-14
2y=-2
y=-1
put x=-2,y=-1 in (6)
-10+1+z=-6
z=-6+10-1=3
put x=-2,y=-1,z=3 in (1)
w-4-2+3=-2
w=-2+4+2-3=1
x=-2,y=-1,z=3,w=1

Answer 2

Oh! Wow!! Thank you for taking the time to do that!!!