document.write( "Question 901067: A 17-foot piece of string is cut into two pieces so that the longer piece is 2 feet longer than twice the length of the shorter piece. Find the lengths of the pieces. \n" ); document.write( "
Algebra.Com's Answer #546525 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! A + B = 17 \n" ); document.write( "A = 2B + 2 \n" ); document.write( "Substitute the known value of A from the bottom equation into the top. \n" ); document.write( "A + B = 17 \n" ); document.write( "(2B+2) + B = 17 \n" ); document.write( "3B + 2 = 17 \n" ); document.write( "Subtract 2 from each side \n" ); document.write( "3B = 15 \n" ); document.write( "Divide each side by 3 \n" ); document.write( "B = 5 \n" ); document.write( "If the shorter piece is 5', then the longer piece is 17-5, or 12' \n" ); document.write( " \n" ); document.write( " |