Question

I need to set up an system of equation and solve

Answer 1

The numbers are 5 and 8.

Explanation:

We know:

m -n=3

And we know:

m +n=13

Next, solve the first equation for m:

m-n+n=3+n

m-0=3+n

m=3+n

Then, substitute 3+n in the second equation and solve for n:

m+n=13 becomes:

(3+n)+n=13

-3+3+2n=-3+13

0+2n=10

2n=10

n=5

Now, substitute 5 for in the solution to the first equation and calculate m:

m=3+n becomes:

m=3+5

m=8

The solution is n=5 and m=8