document.write( "Question 628054: How do you Use an algebraic approach to solve the problem. \r
\n" ); document.write( "\n" ); document.write( "A board 45 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board.\r
\n" ); document.write( "\n" ); document.write( "so far what i have is 2/3x=45 is this right? if so how do you solve?
\n" ); document.write( "

Algebra.Com's Answer #395330 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
close but not quite.
\n" ); document.write( "you have two pieces that add up to 45
\n" ); document.write( "x+y=45
\n" ); document.write( "x is the longer one.
\n" ); document.write( "the other y =2x/3
\n" ); document.write( "so now we have
\n" ); document.write( "two equations with two unknowns
\n" ); document.write( "x+y=45
\n" ); document.write( "y=2x/3
\n" ); document.write( "substitute
\n" ); document.write( "x+2x/3=45
\n" ); document.write( "3x/3+2x/3=45
\n" ); document.write( "5x/3=45
\n" ); document.write( "divide by 5
\n" ); document.write( "x/3=9
\n" ); document.write( "x=27
\n" ); document.write( "2*27/3=18=y
\n" ); document.write( "check
\n" ); document.write( "27+2*27/3=45
\n" ); document.write( "27+18=45
\n" ); document.write( "45=45
\n" ); document.write( "ok
\n" ); document.write( "
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