document.write( "Question 266115: The difference of two integers is 9. Five times the smaller is 7 more than three times the larger. Find the numbers.\r
\n" ); document.write( "\n" ); document.write( "17 & 26. How?! \n" ); document.write( "

Algebra.Com's Answer #195538 by drk(1908) $\"\"$ $\"About$

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Let x and y be the integers. We get
\n" ); document.write( "(i) $\"x+-+y+=+9\"$
\n" ); document.write( "(ii) $\"5y+=+7+%2B+3x\"$
\n" ); document.write( "step 1 - rewrite (ii) in standard form as
\n" ); document.write( "(iii) $\"-3x+%2B+5y+=+7\"$
\n" ); document.write( "step 2 - multiply (i) by 5 to get
\n" ); document.write( "(Iv) $\"5x+-+5y+=+45\"$
\n" ); document.write( "add (iii) and (iv) to get
\n" ); document.write( "(v) $\"2x+=+52\"$
\n" ); document.write( "divide to get
\n" ); document.write( "x = 26
\n" ); document.write( "and then
\n" ); document.write( "y = 17 \n" ); document.write( "

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