SOLUTION: The difference of two integers is 9. Five times the smaller is 7 more than three times the larger. Find the numbers .

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Question 174004: The difference of two integers is 9. Five times the smaller is 7 more than three times the larger. Find the numbers .
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let a and b be two integers
:
b-a=9....eq 1--->b=a+9
5a=3b+7..eq 2
:
take b's value from revised eq 1 and plug it into eq 2
:
5a=3(a+9)+7
:
5a=3a+27+7
:
2a=34
:
highlight%28a=17%29
:
highlight%28b=a%2B9=17%2B9=26%29