document.write( "Question 1208338: A 29-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is two inches more than six times the length of the first piece. Find the lengths of the pieces. \n" ); document.write( "
Algebra.Com's Answer #846695 by math_tutor2020(3816)\"\" \"About 
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\n" ); document.write( "Answers:
\n" ); document.write( "1st piece = 3 inches
\n" ); document.write( "2nd piece = 6 inches
\n" ); document.write( "3rd piece = 20 inches\r
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\n" ); document.write( "\n" ); document.write( "Work Shown\r
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\n" ); document.write( "\n" ); document.write( "x = length of 1st piece
\n" ); document.write( "2x = length of 2nd piece
\n" ); document.write( "6x+2 = length of 3rd piece\r
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\n" ); document.write( "\n" ); document.write( "(1st)+(2nd)+(3rd) = total
\n" ); document.write( "(x)+(2x)+(6x+2) = 29
\n" ); document.write( "9x+2 = 29
\n" ); document.write( "9x = 29-2
\n" ); document.write( "9x = 27
\n" ); document.write( "x = 27/9
\n" ); document.write( "x = 3 inches is the length of the 1st piece.
\n" ); document.write( "2x = 2*3 = 6 inches is the length of the 2nd piece.
\n" ); document.write( "6x+2 = 6*3+2 = 18+2 = 20 inches is the length of the 3rd piece.\r
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\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "1st+2nd+3rd = 3+6+20 = 29
\n" ); document.write( "The answers are confirmed.
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