document.write( "Question 200900This question is from textbook elementary algebra
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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" );
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Algebra.Com's Answer #151139 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Let x=short length,,,,y= long length \n" ); document.write( ". \n" ); document.write( "(1) x + y = 20,,,,,y = 20 -x \n" ); document.write( "(2) 4x = 3y-4 \n" ); document.write( ". \n" ); document.write( "substitute (1) in (2) \n" ); document.write( ". \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 \n" ); document.write( ". \n" ); document.write( "substitute in (1) \n" ); document.write( ". \n" ); document.write( "y= 20 -8 \n" ); document.write( "y=12 \n" ); document.write( ". \n" ); document.write( "check (1) 8+12 =20,,,,ok \n" ); document.write( "(2) 4(8) = 3( 12) -4 \n" ); document.write( "32 =32,,,,,,,,,,,,,,,,,,,,,,ok \n" ); document.write( " \n" ); document.write( " |