document.write( "Question 1033016: Two numbers that when subtracted are equal to fourteen and when doubled are equal to 130 \n" ); document.write( "
Algebra.Com's Answer #647610 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
Hi there,
\n" ); document.write( "Two numbers that when subtracted
\n" ); document.write( "are equal to fourteen.
\n" ); document.write( "x - y = 14........(1)
\n" ); document.write( "x = 14 + y........(1)
\n" ); document.write( "when doubled are equal to 130
\n" ); document.write( "2x + 2y = 130.....(2)
\n" ); document.write( "Substitute (14 + y) for x
\n" ); document.write( "in Eq(2)
\n" ); document.write( "2x + 2y = 130.....(2)
\n" ); document.write( "2(14 + y) + 2y = 130
\n" ); document.write( "28 + 2y + 2y = 130
\n" ); document.write( "Collect like terms:
\n" ); document.write( "2y + 2y = 130 - 28
\n" ); document.write( "4y = 102
\n" ); document.write( "y = 25 1/2
\n" ); document.write( "Substitute y = 25 1/2
\n" ); document.write( "into Eq(1)
\n" ); document.write( "x - 25 1/2 = 14
\n" ); document.write( "x = 14 + 25 1/2
\n" ); document.write( "x = 39 1/2
\n" ); document.write( "x = 39 1/2
\n" ); document.write( "y = 25 1/2
\n" ); document.write( "Hope this helps :-)
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