Answer: 33/4
Step-by-step explanation:
We can use system of equations to find the missing numbers. Once we have the missing numbers, we can find the product. Let's use x and y for the missing numbers.
Equation 1
x-y=4
This equation comes from the difference of the 2 numbers being 4.
Equation 2
x+y=-7
This equation comes from the sum of the 2 numbers is -7.
We can use elimination to solve for y. We would subtract the 2 equations together so that x can cancel out.
-2y=11
y=-11/2
Now that we know y, we can substitute it into the equations above to find x.
x-(-11/2)=4
x+11/2=4
x=-3/2
With the x and y values, we can find the product.
(-3/2)*(-11/2)=33/4