document.write( "Question 662464: A 20-foot board is cut into two pieces. Twice the length of the shorter piece is 2 ft less than the length of the longer piece. Find the length of each piece.
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Algebra.Com's Answer #412274 by ReadingBoosters(3246)\"\" \"About 
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x=shorter
\n" ); document.write( "y=longer
\n" ); document.write( "2x=y-2
\n" ); document.write( "x+y=20
\n" ); document.write( "Either 1)multiply x+y=20 by 2 and substitue 2x into the equation OR
\n" ); document.write( "2)divide the 2x equation by 2 on both sides and substitute x into the second equation.
\n" ); document.write( "Option 1
\n" ); document.write( "2(x+y=20) is equivalent to 2x+2y=40
\n" ); document.write( "substitute 2x=y-2
\n" ); document.write( "y-2+2y=40
\n" ); document.write( "3y=40+2
\n" ); document.write( "3y=42
\n" ); document.write( "y=14, so x = 20-14 = 6
\n" ); document.write( "Option 2
\n" ); document.write( "2x/2=y/2-2/2
\n" ); document.write( "substitute into x+y=20
\n" ); document.write( "y/2-1+y=20
\n" ); document.write( "y/2+y=21
\n" ); document.write( "y/2+2y/2=21
\n" ); document.write( "3y/2=21
\n" ); document.write( "3y=42
\n" ); document.write( "y=14, so 2x=14-2=12/2=6
\n" ); document.write( "Either way, the pieces are 14ft and 6ft
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\n" ); document.write( "Delighted to help
\n" ); document.write( "-Reading Boosters \n" ); document.write( "
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