Question

The sum of two numbers is -12. The difference between the same two numbers is 8. What is the product of the two numbers? ( with explanation )

Answer 1

x=-2

y=-10

Explanation:

x+y=-12

x-y=8

x=y+8

(y+8)+y=-12

2y+8=-12

2y=-20

y=-10

x+10=8

x=-2

Answer 2

`x = - 2 \\ y = - 10`

Explanation:

`x + y = - 12 \\ x - y = 8`

`x + y + (x - y) = - 12 + 8 \\ x + y + x - y = - 4 \\ 2x = - 4 \\ (2x)/(2) = ( - 4)/(2) \\ x = - 2`

`x + y = - 12 \\ - 2 + y = - 12 \\ y = - 12 + 2 \\ y = - 10`