document.write( "Question 200900This question is from textbook elementary algebra
\n" ); document.write( ": Suppose that a board 20 feet long is cut into two pieces. Four times the length of the shorter piece is 4 feet less than three times the length of the longer piece. Find the length of each piece. \n" ); document.write( "
Algebra.Com's Answer #151139 by RAY100(1637)\"\" \"About 
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Let x=short length,,,,y= long length
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\n" ); document.write( "(1) x + y = 20,,,,,y = 20 -x
\n" ); document.write( "(2) 4x = 3y-4
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\n" ); document.write( "substitute (1) in (2)
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\n" ); document.write( "4x = 3( 20-x) -4
\n" ); document.write( "4x = 60 -3x -4
\n" ); document.write( "7x =56
\n" ); document.write( "x=8
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\n" ); document.write( "substitute in (1)
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\n" ); document.write( "y= 20 -8
\n" ); document.write( "y=12
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\n" ); document.write( "check (1) 8+12 =20,,,,ok
\n" ); document.write( "(2) 4(8) = 3( 12) -4
\n" ); document.write( "32 =32,,,,,,,,,,,,,,,,,,,,,,ok
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