Final answer:
Although the provided options do not match the requirement of having a combined total of 0 when x = 16 and y should be -16, assuming 'bc' refers to the combined value, option (c) with bc = -16, y = 16 satisfies x + y = 0 assuming a typo in the question.
Step-by-step explanation:
If x = 16 and y = 16, and when x and y are combined they equal 0, it means that when the two values are added together or one of them is subtracted from the other, the result should be 0. This situation can only occur if one of the values is the opposite of the other, meaning one must be -16 and the other must be 16.
In the given options, if 'bc' represents the product of two constants 'b' and 'c' and 'y' represents the dependent variable as mentioned, the only way to satisfy the condition that x + y = 0 is if y is the opposite of x. Since x is given as 16, then y must be -16. Therefore, y would be -16, not 16. But none of the options provided matches this situation accurately as none of them lists y as -16.
However, assuming there is a typo in the question and 'bc' actually refers to a combined total and not a product, option (c) bc = -16, y = 16 would satisfy the condition x + y = 0 since it lists 'bc' or the combined value as -16.