What is the solution to the following system

Option C. (4, -1, 3)

Step-by-step explanation:

The given system of equations is

x + y + z = 6 (1)

x - y + z = 8 (2)

x + y - z = 0 (3)

We subtract equation 1 by 3

(x + y + z) - (x + y - z) = 6 - 0

z + z = 6

2z = 6

z = 3

Now we subtract equation 1 by 2

(x + y + z) - (x - y + z) = 6 - 8

2y = -2

y = -1

Now we put the values of x and y in equation 1

x + (-1) + 3 = 6

x + 2 = 6

x = 6 - 2 = 4

Therefore, the solution of the equations is (4, -1, 3).

Option C is the answer.