Applications and Equations

label Algebra
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Let x represent the larger number and y represent the smaller number ." The difference between two numbers is 13."

"Six times the larger number Is 19 times the smaller number."

Sep 12th, 2015

Thank you for the opportunity to help you with your question!

The first sentence can be written mathematically x-y=13 (1)

The second one can be written mathematically 6x=19y (2)

We have to solve this system 

(1) can be transformed (multiplying by 6) 6x-6y=6*13=78

We replace 6x by 19y as written in (2) so 19y-6y=78 then 13y=78 and Finally y=6

from (1) x=13+y=19 

x=19

y=6 

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 12th, 2015

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Sep 12th, 2015
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