document.write( "Question 213737: use an algebraic approach to solve the problem.
\n" ); document.write( "The difference of two numbers is 127. The larger number is three less than six times the smaller number. find the larger and smaller numbers.
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Algebra.Com's Answer #161464 by jim_thompson5910(35256)\"\" \"About 
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\"difference of two numbers is 127\" translates to \"x-y=127\"\r
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\n" ); document.write( "\n" ); document.write( "\"The larger number is three less than six times the smaller number\" means that \"x=6y-3\"\r
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\n" ); document.write( "\n" ); document.write( "\"x-y=127\" Start with the first equation.\r
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\n" ); document.write( "\n" ); document.write( "\"6y-3-y=127\" Plug in \"x=6y-3\"\r
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\n" ); document.write( "\n" ); document.write( "\"5y-3=127\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"5y=127%2B3\" Add \"3\" to both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"5y=130\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"y=%28130%29%2F%285%29\" Divide both sides by \"5\" to isolate \"y\".\r
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\n" ); document.write( "\n" ); document.write( "\"y=26\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "\"x=6y-3\" Go back to the second equation.\r
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\n" ); document.write( "\n" ); document.write( "\"x=6%2826%29-3\" Plug in \"y=26\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=156-3\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"x=153\" Subtract\r
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\n" ); document.write( "\n" ); document.write( "So the two numbers are 153 and 26
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