Answer:
(0,2) is one solution of the solution set of the equation x + 3y = 6.
(0,2) is not an element of the solution set of the equation -x + y = 8.
Explanation:
We have the system of equations, x + 3y = 6 and - x + y = 8.
Now, we have to check whether the solution set for that system of equations or not includes the point (0,2) or not.
Here, the equation x + 3y = 6 is satisfied by the point (0,2).
Hence, (0,2) is one solution of the solution set of the equation x + 3y = 6.
But the equation - x + y = 8 is not satisfied by the point (0,2).
So, (0,2) is not an element of the solution set of the equation -x + y = 8.