document.write( "Question 652365: two numbers differ by 57. the sum of the numbers is 185. What are the two numbers? \n" ); document.write( "
Algebra.Com's Answer #407969 by Shana-D77(132)![]() ![]() You can put this solution on YOUR website! let x = first # \n" ); document.write( "let y = second #\r \n" ); document.write( "\n" ); document.write( "\"two numbers differ by 57\": x - y = 57 \n" ); document.write( "\"the sum of the numbers is 185\": x + y = 185\r \n" ); document.write( "\n" ); document.write( "Use elimination by addition to add the equations vertically:\r \n" ); document.write( "\n" ); document.write( "x - y = 57 \n" ); document.write( "x + y = 185 (the ys will cancel when added) \n" ); document.write( "------------- \n" ); document.write( "2x = 242\r \n" ); document.write( "\n" ); document.write( "x = 121 (divided both sides by 2)\r \n" ); document.write( "\n" ); document.write( "If x = 121, then sun it into one of the original equations:\r \n" ); document.write( "\n" ); document.write( "x + y = 185 \n" ); document.write( "121 + y = 185 \n" ); document.write( "y = 64 \n" ); document.write( " |