document.write( "Question 186548: The sum of two numbers is 5 times their difference. If one exceeds the other by 7, what are the numbers? \n" ); document.write( "

Algebra.Com's Answer #139786 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "1st condition:
\n" ); document.write( " $\"x%2By=5%28x-y%29\"$
\n" ); document.write( "2nd condition:
\n" ); document.write( " $\"x=y%2B7\"$ , ---->subst. in Condtn 1:
\n" ); document.write( ".
\n" ); document.write( " $\"x%2By=5x-5y\"$
\n" ); document.write( " $\"y%2B7%2By=5%28y%2B7%29-5y\"$
\n" ); document.write( " $\"2y%2B7=5y%2B35-5y\"$ ---> $\"2y=cross%285y%29%2B35-cross%285y%29-7\"$
\n" ); document.write( " $\"2y=28\"$ ---> $\"cross%282%29y%2Fcross%282%29=cross%2828%2914%2Fcross%282%29\"$
\n" ); document.write( " $\"highlight%28y=14%29\"$
\n" ); document.write( "Then in Condtn 2:
\n" ); document.write( " $\"x=14%2B7\"$ ----> $\"highlight%28x=21%29\"$
\n" ); document.write( "Let's check via Condtn 1:
\n" ); document.write( "The sum of 2 numbers----> $\"14%2B21=35\"$
\n" ); document.write( "Equals 5 times their difference:
\n" ); document.write( " $\"35=5%2821-14%29%29\"$
\n" ); document.write( " $\"35=5%287%29\"$
\n" ); document.write( " $\"35=35\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo\r
\n" ); document.write( "
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