document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #636650 by ikleyn(52790) $\"\"$ $\"About$

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\n" ); document.write( "You and your friend are selling magazine subscriptions. You sold 8 fewer magazine subscriptions than your friends.
\n" ); document.write( "Together you sold 42 magazine subscriptions. Write a system of linear equations that represents this situation.
\n" ); document.write( "How many magazine subscriptions did you sell?How many magazine subscriptions did your friend sell?
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document.write( "x - y =  8,   (1)\r\n" );
document.write( "x + y = 42.   (2)\r\n" );
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document.write( "x = # of magazine subscriptions your friend sold;\r\n" );
document.write( "y = # of magazine subscriptions you sold.\r\n" );
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document.write( "Always when you see such a system, do this: add equations (1) and (2).\r\n" );
document.write( "By doing this way, you exclude one unknown and get a single equation for the other:\r\n" );
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document.write( "2x = 50   --->   x =  = 25.\r\n" );
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document.write( "Thus your friend sold 25 magazine subscriptions.\r\n" );
document.write( "Hence, you sold 25 - 8 = 17 magazine subscriptions.\r\n" );
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