document.write( "Question 905849: the sum of two numbers is 80 and their difference is half their addition. find the numbers. \n" ); document.write( "
Algebra.Com's Answer #549446 by 100601(6)![]() ![]() ![]() You can put this solution on YOUR website! Substitute the numbers for x and y. This will be a system of equations, which means that there will be two or more equations.\r \n" ); document.write( "\n" ); document.write( "x= one of the numbers \n" ); document.write( "y= one of the numbers\r \n" ); document.write( "\n" ); document.write( "x+y= 80 \n" ); document.write( "x-y=1/2(x+y)\r \n" ); document.write( "\n" ); document.write( "Substitute x+y for 80. \n" ); document.write( "x-y=1/2(80) \n" ); document.write( "x-y=40\r \n" ); document.write( "\n" ); document.write( "Now that you've simplified the equation, here are the two equations: \n" ); document.write( "x+y=80 \n" ); document.write( "x-y=40\r \n" ); document.write( "\n" ); document.write( "You can subtract the two equations from each other: \n" ); document.write( " (x+y=80) \n" ); document.write( "- (x-y=40) \n" ); document.write( "---------- \n" ); document.write( " 2y=40 \n" ); document.write( " y=20\r \n" ); document.write( "\n" ); document.write( "Because y=20, x=60 since y+x=80. \n" ); document.write( " |