what is the solution to the following system?

5x+2y+z=4
x+2z=4
2x+y-z=-1


A. x = 0, y = 1, z = 2

B. x = 1, y = –1, z = 2

C. x = 1, y = 0, z = –1

D. x = 2, y = 1, z = 0

Respuesta :

We solve the system by applying the following steps:
 1) Write two of the variables in terms of the third variable. For this case we write x, y in terms of z.
 2) Substitute the expressions in the first equation since it relates all the variables.
 3) Clear z.
 4) with the value of z, find x, y
 Answer:
 A. x = 0, y = 1, z = 2
 See attached image.
Ver imagen carlosego
Ver imagen carlosego
→→→A. x = 0, y = 1, z = 2