document.write( "Question 1028176: Paula belongs to a music club. When she buys 7 compact disks and 2 cassettes, she spends $119. If she buys 5 compact disks and 4 cassettes, she spends $103. What is the cost of each item? \n" ); document.write( "
Algebra.Com's Answer #643337 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! HI there, \n" ); document.write( "Make the compact discs = x \n" ); document.write( "Make the cassettes = y \n" ); document.write( "7x + 2y = 119........(1) \n" ); document.write( "5x + 4y = 103........(2) \n" ); document.write( "Multiply Eq(1) by 2 \n" ); document.write( "14x + 4y = 238.......(1) \n" ); document.write( "5x + 4y = 103.......(2) \n" ); document.write( "Subtract (2) from (1) \n" ); document.write( "9x = 135 \n" ); document.write( "x = 15 \n" ); document.write( "Substitute x = 15 in Eq(2) \n" ); document.write( "5x + 4y = 103........(2) \n" ); document.write( "5(15) + 4y = 103 \n" ); document.write( "75 + 4y = 103 \n" ); document.write( "4y = 103 - 75 \n" ); document.write( "4y = 28 \n" ); document.write( "y = 7 \n" ); document.write( "Compact discs cost $15 \n" ); document.write( "Cassettes cost $7 \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |