Answer:
8.25
Step-by-step explanation:
To solve, you need to create a system of equations. You will need two variables since you have two numbers. Create your equations based on the descriptions given in the problem.
The difference of two numbers is 4.
x - y = 4
The sum of the two number is -7.
x + y = -7
Your system of equations is
x - y = 4
x + y = -7
You can solve systems of equations through either substitution or elimination. You will get the right answer either way. I will use substitution since that is my preference.
Rearrange the first equation so that it is equal to x.
x - y = 4
x = 4 + y
Plug this x-value into the x in the second equation. Solve for y.
x + y = -7
(4 + y) + y = -7
4 + 2y = -7
2y = -11
y = -11/2
Use the y-value to solve for x. You can plug it into either equation and get the right answer. I will use the first equation.
x - y = 4
x - (-11/2) = 4
x + 11/2 = 4
x = -3/2
Now you have both of the numbers. Multiply to find the product.
-11/2 × -3/2 = 33/4 = 8.25
The answer is 8.25.
