Question 608505
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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