The table can be used to determine the solution to the system of equations, 2y − x = 8, and y − 2x = −5. Which solution can be used to fill in both blanks in the table? (1, 6) (6, 1) (7, 6) (6, 7)

Answer: The correct answer is (6, 7).

We can solve this system of equation by elimination.

2y - x = 8
y  - 2x = -5  Multiply this row by -2

2y - x = 8
-2y + 4x = 10    Add

3x = 18
x = 6

Now, input 6 into either equation and you will get y = 7.
Therefore, the solution to the equation is (6, 7).