document.write( "Question 993523: Find two integers whose product is 396 such that one of the integers is ten less than six times the other integer. Please help I do not understand \n" ); document.write( "
Algebra.Com's Answer #612779 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Instead of doing your problem for you, I'll do one exactly\r\n" );
document.write( "like yours that takes exactly the same steps.  The problem \r\n" );
document.write( "I will do is:\r\n" );
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\n" ); document.write( "Find two integers whose product is 329 such that one of the
\n" ); document.write( "integers is nine less than eight times the other integer.
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document.write( "Let the integers be x and y\r\n" );
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\n" ); document.write( ">>...whose product is 329...<<
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\r\n" );
document.write( "So xy = 329\r\n" );
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\n" ); document.write( ">>...one of the integers is nine less than eight times
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\r\n" );
document.write( "So we set y equal to 8 times x with 9 subtracted \r\n" );
document.write( "from it to make it nine less:\r\n" );
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document.write( "y = 8x - 9 \r\n" );
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document.write( "So we have this system of equations:\r\n" );
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document.write( "\"system%28xy=329%2Cy=8x-9%29\"\r\n" );
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document.write( "Substitute (8x-9) for y in the first \r\n" );
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document.write( "\"x%288x-9%29=329\"\r\n" );
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document.write( "\"8x%5E2-9x=329\"\r\n" );
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document.write( "\"8x%5E2-9x-329=0\"\r\n" );
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document.write( "\"x+=+%28-%28-9%29+%2B-+sqrt%28+%28-9%29%5E2-4%288%29%28-329%29+%29%29%2F%282%2A%288%29%29+\"\r\n" );
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document.write( "\"x+=+%289+%2B-+sqrt%2881%2B10528+%29%29%2F16+\"\r\n" );
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document.write( "\"x+=+%289+%2B-+sqrt%2810609+%29%29%2F16+\"\r\n" );
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document.write( "\"x+=+%289+%2B-+103%29%2F16+\"\r\n" );
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document.write( "Using the + sign:\r\n" );
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document.write( "\"x+=+%289+%2B+103%29%2F16+\"\r\n" );
document.write( "\"x+=+112%2F16+\"\r\n" );
document.write( "\"x+=+7\"\r\n" );
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document.write( "Using the - sign:\r\n" );
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document.write( "\"x+=+%289+-+103%29%2F16+\"\r\n" );
document.write( "\"x+=+-94%2F16+\"\r\n" );
document.write( "\"x+=+-47%2F8\".  That's not an integer so we \r\n" );
document.write( "disregard it.\r\n" );
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document.write( "Substitute x=7 in \r\n" );
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document.write( "y = 8x - 9\r\n" );
document.write( "y = 8(7) - 9\r\n" );
document.write( "y = 56 - 9\r\n" );
document.write( "y = 47\r\n" );
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document.write( "So the integers are 7 and 47.\r\n" );
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document.write( "Checking: \r\n" );
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\n" ); document.write( ">>...whose product is 329...<<
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document.write( "7*47 = 329\r\n" );
document.write( "

\n" ); document.write( ">>...one of the integers is nine less than eight times
\n" ); document.write( "the other integer...<<
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\r\n" );
document.write( "8 times 7 is 56, and indeed 47 is 9 less than 56.\r\n" );
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document.write( "So it checks.\r\n" );
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document.write( "Now do yours EXACTLY STEP BY STEP like this one.\r\n" );
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document.write( "Edwin
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