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)\"\" \"About 
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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 :-)
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