document.write( "Question 1029589: 1/x = 1/r + 1/s
\n" ); document.write( "Make r the subject\r
\n" ); document.write( "\n" ); document.write( "Please have explanation with steps \n" ); document.write( "

Algebra.Com's Answer #644572 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+1%2Fx++=+1%2Fr+%2B+1%2Fs+\"$
\n" ); document.write( "Multiply both sides by $\"+x%2Ar%2As+\"$
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\n" ); document.write( " $\"+%28+r%2As+%29%2A1+=+%28+x%2As+%29%2A1+%2B+%28+x%2Ar+%29%2A1+\"$
\n" ); document.write( "Anything times $\"+1+\"$ is the quantity itself,
\n" ); document.write( "so you don't need the 1's
\n" ); document.write( " $\"+r%2As+=+x%2As+%2B+x%2Ar+\"$
\n" ); document.write( "Subtract $\"+x%2Ar+\"$ from both sides
\n" ); document.write( " $\"+r%2As+-+x%2Ar+=+x%2As+\"$
\n" ); document.write( "Factor out $\"+r+\"$ on the left side
\n" ); document.write( " $\"+r%2A%28+s+-+x+%29+=+x%2As+\"$
\n" ); document.write( "Divide both sides by $\"+s+-+x+\"$
\n" ); document.write( " $\"+r+=+x%2As+%2F+%28+s+-+x+%29+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "You can go 1 step further, but it's not necessary
\n" ); document.write( "Divide both top and bottom of the right side by $\"+s+\"$
\n" ); document.write( " $\"+r+=+x+%2F+%28+1+-+x%2Fs+%29+\"$
\n" ); document.write( "Hope this helps \n" ); document.write( "

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