document.write( "Question 74507: If 2 ipods and 3 movie downloads cost $31
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document.write( "If 2 ipods and 2 movie downloads cost $29
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document.write( "What is the cost of each?
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document.write( "use x for ipods and y for downloads.
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Algebra.Com's Answer #53477 by chitra(359)![]() ![]() You can put this solution on YOUR website! Here is the solution to the question that you have posted. \r \n" ); document.write( "\n" ); document.write( "Given that 2 i - pods and 3 movie downloads equals $31 \r \n" ); document.write( "\n" ); document.write( " 2 i - pods and 2 movie downloads equals $29 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let the number of i - pods be represented by \"x\" and the movie downloads be represented by \"y\" \r \n" ); document.write( "\n" ); document.write( "Forming the linear equation, with the given data we get: \r \n" ); document.write( "\n" ); document.write( "2x + 3y = $31 \n" ); document.write( "2x + 2y = $29 [subtracting we get] \n" ); document.write( "----------------- \n" ); document.write( "0x + 1y = $2 \r \n" ); document.write( "\n" ); document.write( "Hence, y = $2 \r \n" ); document.write( "\n" ); document.write( "That is the cost of one movie download is $2 \r \n" ); document.write( "\n" ); document.write( "Now substituting this in any one of the linear equations, we get: \r \n" ); document.write( "\n" ); document.write( "2x + 3(2) = $31 \r \n" ); document.write( "\n" ); document.write( "==> 2x + 6 = $31 \r \n" ); document.write( "\n" ); document.write( "==> 2x = 31 - 6 \r \n" ); document.write( "\n" ); document.write( "==> 2x = 25 \r \n" ); document.write( "\n" ); document.write( "==> x = \n" ); document.write( "\n" ); document.write( "==> x = $ 12.5 \r \n" ); document.write( "\n" ); document.write( "Hence, the cost of one i - pod is $12.5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, the cost of one i - pod and one movie download is: \r \n" ); document.write( "\n" ); document.write( "x = $ 12.5 and y = $2 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, the solution.. :))\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |