document.write( "Question 275255: Andrew and Joseph took a trip to Vintage Vinyl Record Store at the store Andrew bought 6 records and 3 CDs for a total of $85.23. Joseph bought 4 records and 3 CDs for a total of $67.81 \r
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document.write( "please help me write and solve a system of linear equations to find the cost of an individual record and an individual CD?\r
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document.write( "thank you! \n" );
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Algebra.Com's Answer #200763 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Andrew and Joseph took a trip to Vintage Vinyl Record Store at the store Andrew bought 6 records and 3 CDs for a total of $85.23. Joseph bought 4 records and 3 CDs for a total of $67.81 \n" ); document.write( "-------------- \n" ); document.write( "6r + 3c = 85.23 \n" ); document.write( "4r + 3c = 67.81 \n" ); document.write( "------------------------ \n" ); document.write( "Subtract the 2nd equation from the 1st and solve for \"r\": \n" ); document.write( "2r = 17.42 \n" ); document.write( "r = $8.71 (price of one record) \n" ); document.write( "----- \n" ); document.write( "Substitute into one of the original equations and solve for \"c\": \n" ); document.write( "4(8.71) + 3c = 67.81 \n" ); document.write( "c = $10.99 (price of one CD) \n" ); document.write( "=================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |