document.write( "Question 683813: A 6-yard fishing line is cut into two pieces, as shown in the image below, where a = 6. Four times the length of the shorter piece is two times the length of the longer piece. Find the length of each piece.
\n" ); document.write( "Also find the Equation to solve.\r
\n" ); document.write( "\n" ); document.write( "I am so lost.
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Algebra.Com's Answer #423743 by ReadingBoosters(3246)\"\" \"About 
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The two pieces together are 6 yards, so
\n" ); document.write( "x+y = 6
\n" ); document.write( "...
\n" ); document.write( "let x be the longer piece and y be the shorter piece
\n" ); document.write( "4y = 2x
\n" ); document.write( "...
\n" ); document.write( "Rearrange x+y=6 as x = 6-y and substitute into 4y=2x
\n" ); document.write( "4y = 2(6-y)
\n" ); document.write( "Distribute the 2
\n" ); document.write( "4y = 12 - 2y
\n" ); document.write( "Add 2y to both sides
\n" ); document.write( "4y + 2y = 12
\n" ); document.write( "6y = 12
\n" ); document.write( "Divide both sides by 6
\n" ); document.write( "y = 2
\n" ); document.write( "If y = 2, then x = 6-2 = 4
\n" ); document.write( "...
\n" ); document.write( "Therefore, the length of the two pieces are 2 yds and 4 yds
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