Final answer:
The question is asking for ordered pairs that satisfy the equation x - y = 7. When y is 1, x is 8, giving the ordered pair (8, 1). When y is -6, x is 1, giving the ordered pair (1, -6). Hence, option 1: -6 is the correct option
Step-by-step explanation:
The difference of two variables x and y being 7 means that x - y = 7. To find the ordered pair when y is 1, we input 1 for y and find that x would be 8, making the ordered pair (8, 1). Looking at the options for the second value of y, the correct choice is one that would result in x also being a whole number 7 units larger.
When y is -6 (Option 1), x would have to be 1 for the equation x - y = 7 to be true, so the second ordered pair would be (1, -6). This yields two complete ordered pairs that satisfy the given equation: (8, 1) and (1, -6).