document.write( "Question 54964: A 9ft board was cut into 2 pieces so that one piece is 5 feet longer than 3 times the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces. \n" ); document.write( "
Algebra.Com's Answer #37153 by tutorcecilia(2152)\"\" \"About 
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A 9ft board was cut into 2 pieces
\n" ); document.write( "Translation:
\n" ); document.write( "Piece #1 + Piece # 2 = 9 ft
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\n" ); document.write( "\n" ); document.write( "Piece # 1 = one piece is 5 feet longer than 3 times
\n" ); document.write( "translation: Piece # 1 = (3x+5)
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\n" ); document.write( "Piece # 2= the shorter piece
\n" ); document.write( "Translation: (x)\r
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\n" ); document.write( "So,
\n" ); document.write( "Piece #1 + Piece # 2 = 9 ft
\n" ); document.write( "(3x+5)+(x)=9
\n" ); document.write( "3x+5+x=9 [Simplify]
\n" ); document.write( "4x+5=9 [Solve for x]
\n" ); document.write( "4x+5-5=9-5
\n" ); document.write( "4x=4
\n" ); document.write( "4x/4=4/4
\n" ); document.write( "x=1ft (Length of Piece #2)
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\n" ); document.write( "Check by plugging the values back into the original equation:
\n" ); document.write( "Piece #1 + Piece # 2 = 9 ft
\n" ); document.write( "(3x+5)+(x)=9
\n" ); document.write( "(3(1)+5)+(1)=9
\n" ); document.write( "3+5+1=9
\n" ); document.write( "9=9 [Checks out]\r
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