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 

Answer by rfer(16322)   (Show Source): You can put this solution on YOUR website!
 3y+2a=134  a=67-1.5y

2y+3a=146

--------------

2y+3(67-1.5y)=146

2y+201-4.5y=146

-2.5y=-55

y=22 tickets

------------------

2(22)+3a=146

3a=102

a=34 tickets 

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