SOLUTION: find two numbers such that twice the smaller plus three times the larger is 34, and five times the smaller minus twice the larger is 9.

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Question 608505: find two numbers such that twice the smaller plus three times the larger is 34, and five times the smaller minus twice the larger is 9.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Let x and y represent the samller and larger number respectively

Question states***

twice the smaller plus three times the larger is 34, 

and five times the smaller minus twice the larger is 9.

Write as we Read:

 2x+3y = 34

 5x-2y = 9

Solving by elimination

 4x + 6y = 68

15x - 6y = 27

  19x = 95

    x = 5 and y = 8     (2·5 + 3y = 34, 3y = 24 and y = 8)

CHECKING our Answer***using 2nd EQ

 25-16= 9