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

(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.

Step-by-step 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.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

a

step-by-step explanation: