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

Answer:

x=-2

y=-10

Step-by-step 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

Answer:

$x = - 2 \\ y = - 10$

Step-by-step explanation:

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

$x + y + (x - y) = - 12 + 8 \\ x + y + x - y = - 4 \\ 2x = - 4 \\ \frac{2x}{2} = \frac{ - 4}{2} \\ x = - 2$

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