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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 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.

Respuesta :

Answer: 
(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

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Construct system of equations and solve for x and y
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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

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Find the tickets you and your friend sold
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you = x = 36
your friend = y = 22

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