SOLUTION: You and your friend are selling magazine subscriptions. You sold 8 fewer magazine subscriptions than your friends. Together you sold 42 magazine subscriptions. Write a system of li

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You and your friend are selling magazine subscriptions. You sold 8 fewer magazine subscriptions than your friends. Together you sold 42 magazine subscriptions. Write a system of li      Log On


   



Question 1020835: You and your friend are selling magazine subscriptions. You sold 8 fewer magazine subscriptions than your friends. Together you sold 42 magazine subscriptions. Write a system of linear equations that represents this situation. How many magazine subscriptions did you sell? How many magazine subscriptions did your friend sell?
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
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You and your friend are selling magazine subscriptions. You sold 8 fewer magazine subscriptions than your friends.
Together you sold 42 magazine subscriptions. Write a system of linear equations that represents this situation.
How many magazine subscriptions did you sell?How many magazine subscriptions did your friend sell?
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x - y =  8,   (1)
x + y = 42.   (2)

x = # of magazine subscriptions your friend sold;
y = # of magazine subscriptions you sold.

Always when you see such a system, do this: add equations (1) and (2).
By doing this way, you exclude one unknown and get a single equation for the other:

2x = 50   --->   x = 50%2F2 = 25.

Thus your friend sold 25 magazine subscriptions.
Hence, you sold 25 - 8 = 17 magazine subscriptions.