document.write( "Question 136579: One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.Define variables, set up equation(s) and solve. \n" ); document.write( "

Algebra.Com's Answer #100028 by vleith(2983) $\"\"$ $\"About$

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Let x be one number.\r
\n" ); document.write( "\n" ); document.write( "Given $\"y+=+x+%2B+12\"$ and $\"x+%2B+2y+=+39\"$ \r
\n" ); document.write( "\n" ); document.write( "Use substitution to solve for y as follows:\r
\n" ); document.write( "\n" ); document.write( " $\"y+=+x+%2B+12\"$ --> $\"y-12=x\"$
\n" ); document.write( " $\"x+%2B+2y+=+39\"$
\n" ); document.write( " $\"%28y-12%29+%2B+2y+=+39\"$
\n" ); document.write( " $\"3y-12+=+39+\"$
\n" ); document.write( " $\"3y+=+51\"$
\n" ); document.write( " $\"y+=+17\"$ \r
\n" ); document.write( "\n" ); document.write( "Check your answer. $\"x+=+y-12\"$ = 5. Does $\"5+%2B+2%2A17+=+39\"$ ??\r
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