document.write( "Question 265078: What is, \"The sum of two integers is thirty-eight. Nine times the smaller integer is 23 more than 2 times the larger integer. Find the integers.\"
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Algebra.Com's Answer #195166 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let x & y be the two integers, (x is the smaller) \n" ); document.write( ": \n" ); document.write( "write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"The sum of two integers is thirty-eight. \n" ); document.write( "x + y = 38 \n" ); document.write( "y = (38-x), use this for substitution \n" ); document.write( ": \n" ); document.write( "\"Nine times the smaller integer is 23 more than 2 times the larger integer.\" \n" ); document.write( "9x = 2y + 23 \n" ); document.write( ": \n" ); document.write( "Find the integers \n" ); document.write( "replace y in the above equation with (38-x) \n" ); document.write( "9x = 2(38-x) + 23 \n" ); document.write( "9x = 76 - 2x + 23 \n" ); document.write( "9x + 2x = 76 + 23 \n" ); document.write( "11x = 99 \n" ); document.write( "x = \n" ); document.write( "x = 9 \n" ); document.write( ": \n" ); document.write( "I'll let you find y, check solutions in the 2nd equation \n" ); document.write( " |