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.

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) (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 =
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
RELATED QUESTIONS
If the square of the larger of two consecutive integers is reduced by three times the... (answered by ankor@dixie-net.com)

If 3 times the smaller of 2 consecutive integers is added to 4 times the larger, the... (answered by chriswen)

If 2 times the smaller of two consecutive integers is added to 6 times the larger, the... (answered by mananth)

If 3 times the smaller of two consecutive integers is added to four tmes the larger the... (answered by ikdeep)

The sum of 4 times larger integer and 5 times a smaller integer is 7. When twice the... (answered by josgarithmetic)

two positive numbers are consecutive even integers. if the square of the smaller... (answered by TimothyLamb,FightinBlueHens)

The sum of two numbers is 99. If 10 times the smaller is decreased by 2 times the larger, (answered by jim_thompson5910,jonvaliente)

If the smaller of two consecutive even integers is subtracted from 3 times the larger the (answered by Cromlix)

the sum of two consecutive odd integers is 21 less than 3 times the larger number. Find... (answered by josgarithmetic)