document.write( "Question 93010: This is not from a book but I am having difficulties with this question. \r
\n" ); document.write( "\n" ); document.write( "The difference of two numbers is 27. The second is 1 less than 3 times the first. What are the two numbers? \r
\n" ); document.write( "\n" ); document.write( "Any explanation would be helpful. Thank you.
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Algebra.Com's Answer #67693 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"x-y=27\" \"The difference of two numbers is 27\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=3x-1\" \"The second is 1 less than 3 times the first\"\r
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\n" ); document.write( "\n" ); document.write( "\"x-%283x-1%29=27\" Plug in \"y=3x-1\"\r
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\n" ); document.write( "\n" ); document.write( "\"x-3x%2B1=27\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"-2x%2B1=27\" Combine the variable terms 1x and -3x on the left side to get -2x\r
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\n" ); document.write( "\n" ); document.write( "\"-2x=27-1\" Subtract 1 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"-2+x=26\" Combine like terms -1 and 27 on the right side to get 26\r
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\n" ); document.write( "\n" ); document.write( "\"x=%2826%29%2F%28-2%29\" Now divide both sides by -2 to isolate and solve for x\r
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\n" ); document.write( "\n" ); document.write( "\"x=+-13\" Reduce\r
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\n" ); document.write( "\n" ); document.write( "So our answer is\r
\n" ); document.write( "\n" ); document.write( "\"x=+-13\"\r
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\n" ); document.write( "\n" ); document.write( "Plug in \"x=+-13\" to find y\r
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\n" ); document.write( "\n" ); document.write( "\"y=3%28-13%29-1\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=-39-1\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=-40\"\r
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\n" ); document.write( "\n" ); document.write( "So the two numbers are -13 and -40\r
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\n" ); document.write( "\n" ); document.write( "Check:\r
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\n" ); document.write( "\n" ); document.write( "\"-13+--40=27\" Plug in x=-13 and y=-40\r
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\n" ); document.write( "\n" ); document.write( "\"27=27\" works
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