Question

The difference of two numbers is 4 and their sum is -7. What is their product?

Answer 1

The product is 8.25

Explanation:

Let

x-----> one number

y ----> the other number

I assume x>y

x-y=4 ----> equation A

x+y=-7 ---> equation B

Solve the system by elimination

Adds equation A and equation B

x-y=4

x+y=-7

-----------

2x=-3

x=-1.5

Find the value of y

x-y=4

-1.5-y=4

y=-1.5-4=-5.5

The numbers are -1.5 and -5.5

Find their product

(-1.5)(-5.5)=8.25