Item 8 Question 1 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 represent the number of tickets you sell and y represent the number of tickets your friend sells. System of equations: Question 2 b. How many tickets does each of you sell

(a)x= y+14

(b)x=34, y=20

Step-by-step explanation:

Let the number of tickets sold by your friend = y

Let the number of tickets sold by you=x

You sell 14 more tickets than your friend sells.

Number of tickets sold by you, x= y+14

(a) The system of linear equations that represents this situation is: x= y+14

(b)Together, you and your friend sell a total of 58 tickets.

x+y=54

Since x= y+14

(y+14)+y=54

2y+14=54

Subtract 14 from both sides

2y+14-14=54-14

2y=40

Divide both sides by 2

y=20

Recall, x= y+14

          x=20+14=34

You sell 34 tickets and your friend sells 20 tickets.

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step-by-step explanation: