document.write( "Question 504211: Please help me solve this: Two integers differ by 12. Three times the smaler one is 11 less than twice the larger one. What are the numbers? \n" ); document.write( "

Algebra.Com's Answer #339537 by stanbon(75887) $\"\"$ $\"About$

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Two integers differ by 12. Three times the smaller one is 11 less than twice the larger one. What are the numbers?
\n" ); document.write( "---
\n" ); document.write( "Equations:
\n" ); document.write( "x - y = 12
\n" ); document.write( "--
\n" ); document.write( "Notice that y must be the smaller number.
\n" ); document.write( "----
\n" ); document.write( "3y = 2x-11
\n" ); document.write( "----
\n" ); document.write( "Solve the system:
\n" ); document.write( "x - y = 12
\n" ); document.write( "2x-3y = 11
\n" ); document.write( "------------------
\n" ); document.write( "2x -2y = 24
\n" ); document.write( "2x-3y = 11
\n" ); document.write( "----
\n" ); document.write( "Subtract and solve for \"y\":
\n" ); document.write( "y = 13
\n" ); document.write( "---
\n" ); document.write( "Solve for \"x\":
\n" ); document.write( "x - y = 12
\n" ); document.write( "x - 13 = 12
\n" ); document.write( "x = 25
\n" ); document.write( "============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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