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

correct choice is A

Step-by-step explanation:

From the second equation express x and substitute it into the first and third equations:

Then

From the third equation and substituting it into the second, you get

If then

and

The solution of the system is

(a) the volume of the cone is 20/3 in3

hence, option a is correct.