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You and your friend are selling raffle tickets for a new laptop. You sell 14 more tickets than your friend sells. Together, you and your friend sell 58 tickets.

a. Write a system of linear equations that represents this situation. Let $x$x​ represent the number of tickets you sell and $y$y​ represent the number of tickets your friend sells.

 

System of equations:  

 

Second Equation:

                                     

Question 2

b. How many tickets do each of you sell?

You sell    ?   tickets and your friend sells  ?     tickets.

 Feb 13, 2021
 #1
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a   x +  y    = 58

     x = y +  14

 

b.   Substitute  the second equation into the first  for  x

 

(y + 14) + y  = 58     simplify

 

2y  +  14   = 58     subtract 14 from both sides

 

2y  =  44              divide  by  2  on both sides

 

y  =  44/2   = 22 

 

b.  You sell   y + 14  = 22  + 14  =    36

      Your friend sells   22

 

 

cool cool cool

 Feb 13, 2021

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