Question 514217
Let x and y are two integers.

x+y=5.......(1)
x-y=13......(2)

Add (1) and (2)
x+y=5.......(1)
x-y=13......(2)
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2x=18
2x/2=18/2
x=9
Put the value of x in (1)
x+y=5
9+y=5
y=5-9
y=-4

Integers are -4 and 9



Check
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their sum = 5
9+(-4)=5
9-4=5
5=5
Their difference = 13
9-(-4)=13
9+4=13
13=13