In order to find which table correctly lists the solutions, we can replace the values of x in the equation and find the corresponding values of y.
First, let's rewrite the equation in the form:
5x + y = 14
y = 14 - 5x
• Now, for x = -1, we have:
y = 14 - 5*(-1) = 14 + 5 = 19
Then, we have the pair: x = -1, y = 19.
• For x = 0, we have:
y = 14 - 5*0 = 14 - 0 = 14
Then, we have the pair: x = 0, y = 14.
• And, for x = 1, we have:
y = 14 - 5*1 = 14 - 5 = 9
Then, we have the pair: x = 1, y = 9.
Therefore, we have the table:
x -1 0 1
y 19 14 9
Thus, option A is correct.