Question

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

Answer 1

→→→A. x = 0, y = 1, z = 2

Answer 2

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.