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

  

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