WILL MARK BRAINLIEST!!!
Solve the system. If there's no unique solution, label the system as either dependent or inconsistent.
2x + y + 3z = 12
x – y + 4z = 5
–4x + 4y – 16z = –20

A. (4, 1, 2)
B. (1, 4, 2)
C. Inconsistent system (no solution)
D. Dependent system (infinite number of solutions)

Respuesta :

Answer:

B (1,4,2)

Step-by-step explanation:

the easiest way to solve this complex equation:-

since x=1, y=4, z=2

the equation is

2x+y+3z= 12

x-y+4z=5

-4x+4y-16z=-20

2(1)+4+4(2)=12

1-4+4(2)=5

-4(1)+4(4)-16(2)

then

2+4+6=12

1-4=-3+8=5

-4+16= 12-32=-20