the sum of two integers is zero. the difference of the same two integers is 16. What are the integers

8 + (-8) = 0

8 - (-8) = 16

To find the two integers, let's assign variables:

Let's assume the first integer is x and the second integer is y.

We are given two pieces of information:

1. The sum of the two integers is zero, which can be written as: x + y = 0.

2. The difference of the same two integers is 16, which can be written as: x - y = 16.

Now we have a system of two equations:

Equation 1: x + y = 0
Equation 2: x - y = 16

We can solve this system by using the method of elimination or substitution. Let's use the method of elimination:

To eliminate the y variable, we can add Equation 1 to Equation 2:

(x + y) + (x - y) = 0 + 16

Simplifying the equation:

2x = 16

Dividing both sides by 2:

x = 8

Now, substitute the value of x into one of the original equations, let's use Equation 1:

8 + y = 0

Subtracting 8 from both sides:

y = -8

Therefore, the two integers that satisfy the given conditions are 8 and -8.

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