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 xx represent the number of tickets you sell and yy represent the number of tickets your friend sells. system of equations: question 2 b. how many tickets does each of you sell? you sell tickets. your friend sells tickets.

 
(a)x + y = 58 and x = y + 14
(b) You sold 36 and your friend sold 22.

Tickets that you sold = x
Tickets that your friend sold = y

Together, the two of you sold 58 tickets.
x + y = 58

You sold 14 more than your friend
x = y + 14

So the two equations are:
x + y = 58
x = y + 14


Construct system of equations and solve for x and y

x + y = 58 (1)
x = y + 14 (2)

Substitute equation (2) into equation (1)
(y + 14) + y = 58
y + 14 + y = 58
2y + 14 = 58
2y = 58 - 14
2y = 44
y = 22 Substitute into equation (2)

x = y + 14
x = 22 + 14
x = 36


Find the tickets you and your friend sold

you = x = 36
your friend = y = 22


  (a) x + y = 58 and x = y + 14
                 (b) You sold 36 and your friend sold 22.

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