document.write( "Question 63684: You are working in a store and sell 3 lawn mowers and 3 hedge trimmers for $750. The next day you sell 4 lawn mowers and 5 hedge trimmers for $1050. What is the price of the lawn mower and the hedge trimmer \n" ); document.write( "
Algebra.Com's Answer #44399 by ptaylor(2198)\"\" \"About 
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Let x=price of lawn mower and
\n" ); document.write( "y=price of hedge trimmer. We know that\r
\n" ); document.write( "\n" ); document.write( " (1) 3x+3y=$750 and
\n" ); document.write( " (2) 4x+5y=$1050\r
\n" ); document.write( "\n" ); document.write( "Divide (1) by 3\r
\n" ); document.write( "\n" ); document.write( "(1) x+y=$250 or y=$250-x
\n" ); document.write( "(2) 4x+5y=$1050\r
\n" ); document.write( "\n" ); document.write( "Substitute y=$250-x into (2) and we get:\r
\n" ); document.write( "\n" ); document.write( "4x+5($250-x)=$1050 simplifying
\n" ); document.write( "4x+$1250-5x=$1050 collecting like terms, we have
\n" ); document.write( "4x-5x=$1050-$1250
\n" ); document.write( "-x=-$200 or
\n" ); document.write( "x=$200 price of lawn mowers\r
\n" ); document.write( "\n" ); document.write( "substitute into (1) we have
\n" ); document.write( "y=$250-x=$250-$200 =$50
\n" ); document.write( "y=$50 price of Hedge Trimmers\r
\n" ); document.write( "\n" ); document.write( "ck
\n" ); document.write( "3x+3y=$750
\n" ); document.write( "3($200)+3($50)=$750
\n" ); document.write( "$600+$150=$750
\n" ); document.write( "$750=$750
\n" ); document.write( " and
\n" ); document.write( "4x+5y=$1050
\n" ); document.write( "4($200)+5($50)=$1050
\n" ); document.write( "$800+$250=$1050
\n" ); document.write( "$1050=$1050\r
\n" ); document.write( "\n" ); document.write( "Hope this helps. Happy holidays---ptaylor\r
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