document.write( "Question 499965: 20-foot piece of string is cut into two peices so that the longer piece is 5 feet longer than twice the shorter piece. find the lengths of both pieces. \n" ); document.write( "

Algebra.Com's Answer #337925 by oberobic(2304) $\"\"$ $\"About$

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L = longer piece
\n" ); document.write( "S = shorter piece
\n" ); document.write( "L + S = 20 ft
\n" ); document.write( "so
\n" ); document.write( "L = 20 -S
\n" ); document.write( ".
\n" ); document.write( "L is 5 ft longer than twice the shorter.
\n" ); document.write( "L = 2S + 5
\n" ); document.write( ".
\n" ); document.write( "Equals are equal, so L = L
\n" ); document.write( ".
\n" ); document.write( "20-S = 2S + 5
\n" ); document.write( "Add S to both sides
\n" ); document.write( "20 = 3S +5
\n" ); document.write( "Subtract 5 from both sides
\n" ); document.write( "15 = 3S
\n" ); document.write( "so
\n" ); document.write( "3S = 15
\n" ); document.write( "Divide both sides by 3
\n" ); document.write( "S = 5
\n" ); document.write( ".
\n" ); document.write( "L+S = 20
\n" ); document.write( "L = 20 -S
\n" ); document.write( "L = 20 -5
\n" ); document.write( "L = 15.
\n" ); document.write( ".
\n" ); document.write( "Always check your work.
\n" ); document.write( "Is L 5 more than 2*S?
\n" ); document.write( "2*S = 10
\n" ); document.write( "2*S +5 = 15
\n" ); document.write( "L = 15
\n" ); document.write( "True.
\n" ); document.write( ".
\n" ); document.write( "Re-read the question to ensure you answer it.
\n" ); document.write( "The longer piece is 15 ft and the shorter piece is 5 ft.
\n" ); document.write( ".
\n" ); document.write( "Done. \n" ); document.write( "

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