Which statement is true about the system x3y2 and yx6 1 8 2

Which statement is true about the system x-3y=2 and y=x+6?

1. (8, 2) is not a solution to either equation, so it is not a solution to the system.

2. (8, 2) is a solution to one equation but not the other one, so it is a solution to the system.

3. (8,2) is a solution to both equations, so it is a solution to the system.

4. (8, 2) is a solution to one equation but not the other one, so it is not a solution to the system.

x-3y=2 ----(1)

and y=x+6 ----(2)

equation 2) y -x =6

Now add the two equations we get :

-2y = 8 ---> y = -4

x = y -6 = -4 -6 = -10

( x , y) ---> ( -10 , -4)

So, ( 8, 2) is a solution to : x -3y =2 ----> 8 -3*2 = 2 is a solution

y = x+6 : ---> 2 =10 is not a solution to this equation

So, Option 4) (8,2) is a solution to one equation but not the other one, so it is not a solution to the system.