document.write( "Question 950889: Five time the larger of two numbers. plus four times the smaller is 271. Three times the larger less twice the smaller is 261. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #580664 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "let the larger of two numbers be \"x\" and the smaller \"y\"\r
\n" ); document.write( "\n" ); document.write( "five time the larger of two numbers plus four times the smaller is\"+271\":\r
\n" ); document.write( "\n" ); document.write( "\"5x%2B4y=271\".....eq.1\r
\n" ); document.write( "\n" ); document.write( "if three times the larger less twice the smaller is \"261\", then\r
\n" ); document.write( "\n" ); document.write( "\"3x-2y=261\".....eq.2\r
\n" ); document.write( "\n" ); document.write( "solve the system:\r
\n" ); document.write( "\n" ); document.write( "\"5x%2B4y=271\".....eq.1
\n" ); document.write( "\"3x-2y=261\".....eq.2.....both sides multiply by \"2\"
\n" ); document.write( "---------------------\r
\n" ); document.write( "\n" ); document.write( "\"5x%2B4y=271\".....eq.1
\n" ); document.write( "\"6x-4y=522\".....eq.2
\n" ); document.write( "---------------------------add both eq.1 and eq.2\r
\n" ); document.write( "\n" ); document.write( "\"5x%2B4y%2B6x-4y=271%2B522\"\r
\n" ); document.write( "\n" ); document.write( "\"5x%2Bcross%284y%29%2B6x-cross%284y%29=793\"\r
\n" ); document.write( "\n" ); document.write( "\"11x=793\"\r
\n" ); document.write( "\n" ); document.write( "\"x=793%2F11\"\r
\n" ); document.write( "\n" ); document.write( "\"x=72.09090909090909\"\r
\n" ); document.write( "\n" ); document.write( "\"x=72.09\"\r
\n" ); document.write( "\n" ); document.write( "go to \"3x-2y=261\".....eq.2 substitute \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"3%2A72.09-2y=261\"\r
\n" ); document.write( "\n" ); document.write( "\"216.27-261=2y\"\r
\n" ); document.write( "\n" ); document.write( "\"-44.73=2y\"\r
\n" ); document.write( "\n" ); document.write( "\"y=-44.73%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"y=-22.37\"\r
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