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)

The answer is (6, 7)

Step-by-step explanation:

This is the system of two equations:

2y − x = 8

y − 2x = −5

Express the second equation in the term of y:

2y - x = 8

y = 2x - 5

Substitute y in the first equation:

2(2x - 5) - x = 8

4x - 10 - x = 8

4x - x = 10 + 8

3x = 18

x = 18/3

x = 6

Since x = 6 and y = 2x - 5, then:

y = 2 * 6 - 5

y = 12 - 5

y = 7

Therefore, (x, y) = (6, 7)

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step-by-step explanation: