Question

Is (0,2) an element of the solution set for the system of equations?
X+3y=6
-x+y=8

Answer 1

(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.