Question 391393
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Hi, 
This question Sets Up two equations with 2 unknowns        
Let x and y represent the cost of the youth and adult ticket respectively
Question states***
 3x + 2y = $134   
 2x + 3y = $146
using elimination to solve for x
 9x +6y = 3*134    | Multiplying 1st equation by 3
-4x -6y = -2*146   | Multiplying 2nd equation by -2

    5x = 3*134 - 2*146
    5x = $110
     x = $22,  the cost of the youth ticket

CHECKING our Answer*** ($34 being the cost of the adult ticket) y = (134-3*22)/2
  3*$22 + 2*$34 = $66 + $68 = $134