The sum of two numbers is 18 their difference is 8

13 and 5

Step-by-step explanation:

x+y=18

x-y=8

2x=26

x=13

So the first number must be 13

13+y=18

y=5

And the second number must be 5

When we write out the system of equations, we will get:

x+y=18

x-y=8

 We can then use elimination to get just one variable.

 x+y=18

+x-y=  8

 Which gives us:   2x=26

 We then divide by 2 and get:    x=13

 We next plug that into one of the two equations and solve for the other variable:    (13)+y=18

We subtract 13 from both sides and get:   y=5

So the two numbers are 13 and 5.

~ I hope this helped, and I would appreciate Brainliest. ♡ ~ ( I request this to all the lengthy answers I give ! )

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step-by-step explanation: