document.write( "Question 162685: One integer is 6 less than another integer. The product of the lesser integer and -7 is 42 more than the greater integer. What are the integers? \n" ); document.write( "

Algebra.Com's Answer #119905 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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One integer is 6 less than another integer. The product of the lesser integer and -7 is 42 more than the greater integer. What are the integers?
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\n" ); document.write( "I don't think there is a solution to this, but let's proceed like there is:
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\n" ); document.write( "Let x = larger integer
\n" ); document.write( "Let y = lesser integer
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( "\"One integer is 6 less than another integer.\"
\n" ); document.write( "y = x - 6
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\n" ); document.write( "\" The product of the lesser integer and -7 is 42 more than the greater integer.\"
\n" ); document.write( "y * -7 = 42 + x
\n" ); document.write( "we can write it:
\n" ); document.write( "-7y = x + 42
\n" ); document.write( ":
\n" ); document.write( "Substitute (x-6) for y (from the 1st statement)
\n" ); document.write( "-7(x-6) = x + 42
\n" ); document.write( "-7x + 42 = x + 42
\n" ); document.write( "You can see we are in real trouble here
\n" ); document.write( "-7x = x; not possible\r
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\n" ); document.write( "\n" ); document.write( " What are the integers? there aren't any \n" ); document.write( "

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