document.write( "Question 113302: The sum of two numbers is 39. Their difference is 7. What are the two numbers? Show both equations and your method for solving as well as the solution.
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Algebra.Com's Answer #82447 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
Let x=one number
\n" ); document.write( "And y=the other
\n" ); document.write( "Now we are told the following:\r
\n" ); document.write( "\n" ); document.write( "x+y=39------------------eq1
\n" ); document.write( "x-y=7----------------------eq2
\n" ); document.write( "Add eq1 and eq2
\n" ); document.write( "2x=46 divide both sides by 2
\n" ); document.write( "x=23 one number
\n" ); document.write( "substitute x=23 into eq1
\n" ); document.write( "23+y=39 subtract 23 from both sides
\n" ); document.write( "23-23+y=39-23 collect like terms\r
\n" ); document.write( "\n" ); document.write( "y=16 the other number\r
\n" ); document.write( "\n" ); document.write( "ANOTHER WAY:
\n" ); document.write( "Let x=one number
\n" ); document.write( "Then 39-x=the other number\r
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\n" ); document.write( "\n" ); document.write( "Now we are told that:
\n" ); document.write( "(39-x)-x=7
\n" ); document.write( "39-2x=7 subtract 39 from both sides
\n" ); document.write( "-2x=7-39 collect like terms
\n" ); document.write( "-2x=-32 divide both sides by -2\r
\n" ); document.write( "\n" ); document.write( "x=16---one number
\n" ); document.write( "39-x=39-16=23----------the other number\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "16+23=39
\n" ); document.write( "39=39
\n" ); document.write( "and
\n" ); document.write( "23-16=7
\n" ); document.write( "7=7\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor
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