I need to set up an system of equation and solve
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Answer:
The numbers are 5 and 8.
Step-by-step 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