document.write( "Question 862908: You will purchase some CDs and DVDs. If you purchase 11 CDs and 9 DVDs, it will cost you $85.35; if you purchase 9 CDs and 11 DVDs, it will cost you $95.65. Solve for how much a CD and a DVD cost. \n" ); document.write( "
Algebra.Com's Answer #520052 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! You will purchase some CDs and DVDs. If you purchase 11 CDs and 9 DVDs, it will cost you $85.35; if you purchase 9 CDs and 11 DVDs, it will cost you $95.65. Solve for how much a CD and a DVD cost. \n" ); document.write( "*** \n" ); document.write( "let x=cost of each CD \n" ); document.write( "let y=cost of each DVD \n" ); document.write( ".. \n" ); document.write( "11x+9y=85.35 \n" ); document.write( "9x+11y=95.65 \n" ); document.write( ".. \n" ); document.write( "99x+81y=768.15(mult. eq1 by 9) \n" ); document.write( "99x+121y=1052.15(mult. eq2 by 11) \n" ); document.write( "subtract to eliminate x \n" ); document.write( "-40y=-284 \n" ); document.write( "y=7.10 \n" ); document.write( ".. \n" ); document.write( "9x=95.65-11y=17.55 \n" ); document.write( "x=1.95 \n" ); document.write( "cost of each CD=$1.95 \n" ); document.write( "cost of each DVD=$7.10 \n" ); document.write( " \n" ); document.write( " |