SOLUTION: the sum of 2 integers is 3, if the larger numbers decrease by 5 times the smaller the result is 21 find the integers.

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Question 206255: the sum of 2 integers is 3, if the larger numbers decrease by 5 times the smaller the result is 21 find the integers.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the larger number, y = the other number
:
the sum of 2 integers is 3,
x + y = 3
:
if the larger numbers decrease by 5 times the smaller the result is 21
x - 5y = 21
:
Use elimination here
x + y = 3
x -5y = 21
--------------subtraction eliminates x
6y = -18
y = %28-18%29%2F6
y = -3
:
Find x using the 1st equation
x - 3 = 3
x = 3 + 3
x = 6
:
:
Check solution in the 2nd equaton
6 - 5(-3) = 21
6 + 15 = 21