document.write( "Question 499366: The sum of two integers is eighteen. Eight times the smaller integer is twenty-four more than two times the larger integer. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #337622 by oberobic(2304) $\"\"$ $\"About$

You can put this solution on YOUR website!
x = lesser integer
\n" ); document.write( "y = greater integer
\n" ); document.write( ".
\n" ); document.write( "x + y = 18
\n" ); document.write( "8x = 2y +24
\n" ); document.write( ".
\n" ); document.write( "You can solve by substitution or by systems of linear equations.
\n" ); document.write( ".
\n" ); document.write( "x + y = 18
\n" ); document.write( "8x - 2y = 24
\n" ); document.write( ".
\n" ); document.write( "2x + 2y = 36
\n" ); document.write( "8x - 2y = 24
\n" ); document.write( "10x = 60
\n" ); document.write( "x = 6
\n" ); document.write( ".
\n" ); document.write( "6+y = 18
\n" ); document.write( "y = 12
\n" ); document.write( ".
\n" ); document.write( "Check your work!
\n" ); document.write( ".
\n" ); document.write( "8x = 8*6 = 48
\n" ); document.write( "2y = 2*12 = 24
\n" ); document.write( "Correct.
\n" ); document.write( ".
\n" ); document.write( "Answer:
\n" ); document.write( "The integers are 6 and 12.
\n" ); document.write( ".
\n" ); document.write( "Done. \n" ); document.write( "

\n" );