document.write( "Question 1005835: A 22 inch rope is to be cut into two pieces so that one piece is 6 inches longer than twice the other.How long is each piece if a=2,b=6,and l=22? \n" ); document.write( "

Algebra.Com's Answer #621972 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = the longer piece
\n" ); document.write( " $\"+x+=+a%2A%28+l+-+x+%29+%2B+b+\"$
\n" ); document.write( " $\"+x+=+a%2Al+-+a%2Ax+%2B+b+\"$
\n" ); document.write( " $\"+x+%2B+a%2Ax+=+a%2Al+%2B+b+\"$
\n" ); document.write( " $\"+x%2A%28+1+%2B+a+%29+=+a%2Al+%2B+b+\"$
\n" ); document.write( " $\"+x+=+%28+a%2Al+%2B+b+%29+%2F+%28+1+%2B+a+%29+\"$
\n" ); document.write( " $\"+a+=+2+\"$
\n" ); document.write( " $\"+b+=+6+\"$
\n" ); document.write( " $\"+l+=+22+\"$
\n" ); document.write( " $\"+x+=+%28+a%2Al+%2B+b+%29+%2F+%28+1+%2B+a+%29+\"$
\n" ); document.write( " $\"+x+=+%28+2%2A22+%2B+6+%29+%2F+%28+1+%2B+2+%29+\"$
\n" ); document.write( " $\"+x+=+50%2F3+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+l+-+x+=+22+-+50%2F3+\"$
\n" ); document.write( " $\"+l+-+x+=+16%2F3+\"$
\n" ); document.write( "------------------
\n" ); document.write( "The 2 pieces are 50/3 and 16/3
\n" ); document.write( "check:
\n" ); document.write( " $\"+x+=+a%2A%28+l+-+x+%29+%2B+b+\"$
\n" ); document.write( " $\"+50%2F3+=2%2A%2822+-+x+%29+%2B+6+\"$
\n" ); document.write( " $\"+50%2F3+=+44+-+2x+%2B+6+\"$
\n" ); document.write( " $\"+50%2F3+=+50+-+2x+\"$
\n" ); document.write( " $\"+50+=+150+-+6x+\"$
\n" ); document.write( " $\"+6x+=+100+\"$
\n" ); document.write( " $\"+x+=+50%2F3+\"$
\n" ); document.write( "OK \n" ); document.write( "

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