Question

Brandon is thinking of two numbers. Their sum is - 10 and their difference is -2.

Which system of equations represents the situation?

Answer 1

The system of equations representing the situation is x + y = -10 and x - y = -2. The two numbers are -6 and -4.

Step-by-step explanation:

The system of equations representing the situation is:

x + y = -10

x - y = -2

Let's solve this system of equations to find the two numbers.

Add the two equations:

x + y + (x - y) = -10 + (-2)

Simplify the equation:

2x = -12

Divide both sides of the equation by 2:

x = -6

Substitute the value of x into one of the equations:

-6 + y = -10

Add 6 to both sides of the equation:

y = -4

The two numbers are -6 and -4.