document.write( "Question 1012513: The sum of two numbers is 65. The difference of the two numbers is 27. Write and solve a system of linear equations to find the two numbers. Let x represent the greater number, and y represent the lesser number. \n" ); document.write( "
Algebra.Com's Answer #628465 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "x-y=27 \n" ); document.write( "x=y+27 \n" ); document.write( ". \n" ); document.write( "x+y=65 \n" ); document.write( "(y+27)+y=65 \n" ); document.write( "2y=38 \n" ); document.write( "y=19 \n" ); document.write( "ANSWER 1: The smaller number is 19. \n" ); document.write( ". \n" ); document.write( "x=y+27 \n" ); document.write( "x=19+27=46 \n" ); document.write( "ANSWER: The larger number is 46. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "x-y=27 \n" ); document.write( "46-19=27 \n" ); document.write( "27=27 \n" ); document.write( ". \n" ); document.write( "x+y=65 \n" ); document.write( "46+19=65 \n" ); document.write( "65=65 \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |