The sum of two numbers is -3. The difference between the two numbers is 11. What are the numbers?

the difference of two numbers is 3 is represented by:  x - y = 3

their sum is 13 is represented by:  x + y = 13

we now have a system of equations:  

x - y = 3

x + y = 13

Using the elimination method the y's cancel out, add the remaining like terms to get:

2x = 16

divide by 2:

x = 8

Now substitute x = 8 back into either one of the original equations

x + y = 13

8 + y = 13

subtract 8 from both sides to get  

y = 5

So the solution to the system is (8, 5)

x = 8 and y = 5

Step-by-step explanation:

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