document.write( "Question 1125283: Find the rule for this table
\n" ); document.write( "S T
\n" ); document.write( "_ 70
\n" ); document.write( "_ 66
\n" ); document.write( "9 62
\n" ); document.write( "12 58
\n" ); document.write( "15 54
\n" ); document.write( "

Algebra.Com's Answer #741579 by MathLover1(20850)\"\" \"About 
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\"S+\"|\"+++T\"
\n" ); document.write( "\"_+\"|\"+++70\"
\n" ); document.write( "\"_\"|\"+++++66\"
\n" ); document.write( "\"9+\"|\"++++62\"
\n" ); document.write( "\"12+\"|\"++58\"
\n" ); document.write( "\"15\"|\"++++54\"\r
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\n" ); document.write( "\n" ); document.write( "first find equation using two of given pairs\r
\n" ); document.write( "\n" ); document.write( "\"T=mS%2Bb\"...plug in \"S=9+\"|\"+++T=+62\"\r
\n" ); document.write( "\n" ); document.write( "\"62=9m%2Bb\"...solve for \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"b=62-9m\"....eq.1\r
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\n" ); document.write( "\n" ); document.write( "\"T=mS%2Bb\"...plug in \"S=12+\"|\"+++T=+58\"\r
\n" ); document.write( "\n" ); document.write( "\"58=12m%2Bb\"...solve for \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"b=58-12m\"....eq.2\r
\n" ); document.write( "\n" ); document.write( "since let sides of eq.1 and eq.2 are same, equal right sides\r
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\n" ); document.write( "\n" ); document.write( "\"62-9m=58-12m\".......solve or \"m\"\r
\n" ); document.write( "\n" ); document.write( "\"12m-9m=58-62\"\r
\n" ); document.write( "\n" ); document.write( "\"3m=-4\"\r
\n" ); document.write( "\n" ); document.write( "\"m=-4%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "now find \"b\"\r
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\n" ); document.write( "\n" ); document.write( "\"b=62-9m\"....eq.1\r
\n" ); document.write( "\n" ); document.write( "\"b=62-9%28-4%2F3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"b=62-cross%289%293%28-4%2Fcross%283%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"b=62-3%28-4%29\"\r
\n" ); document.write( "\n" ); document.write( "\"b=62%2B12\"\r
\n" ); document.write( "\n" ); document.write( "\"b=74\"\r
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\n" ); document.write( "\n" ); document.write( "so, your equation is: \"T=-%284%2F3%29S%2B74\"\r
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\n" ); document.write( "\n" ); document.write( "ind missing numbers in the table:\r
\n" ); document.write( "\n" ); document.write( "\"S+\"|\"+++T\"....->\"70=-%284%2F3%29S%2B74\"->\"%284%2F3%29S=74-70\"->\"%284%2F3%29S=4\"->\"S=4%2F%284%2F3%29\"->\"S=3\"
\n" ); document.write( "\"3+\"|\"+++70\"
\n" ); document.write( "\"6\"|\"+++++66\"....->\"66=-%284%2F3%29S%2B74\"->\"%284%2F3%29S=74-66\"->\"%284%2F3%29S=8\"->\"S=8%2F%284%2F3%29\"->\"S=6\"
\n" ); document.write( "\"9+\"|\"++++62\"
\n" ); document.write( "\"12+\"|\"++58\"
\n" ); document.write( "\"15\"|\"++++54\"\r
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