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)![]() ![]() 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 :-) \n" ); document.write( " \n" ); document.write( " |