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)\"\" \"About 
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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.
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