What are two numbers with a sum of - 2 and a difference of 24

Answer: 11 and - 13

Step-by-step explanation:

first you need to isolate one variable so you can later plug it into the other equation

x+y = - 2

y = - x - 2

now, you plug this y value into the next equation for the difference that equals 24 and solve for x

x-y = 24

x - (-x-2) = 24

2x + 2 = 24

2x = 22

x = 11

now that you have x, you can just plug it back into either original equation to get the corresponding y equation.

11 + y = - 2

y = - 13

proof:

11 - (-13) = 24

11 + (-13) = - 2