document.write( "Question 132939: Please help me solve this:\r
\n" ); document.write( "\n" ); document.write( "1/a+1/b=c for b \n" ); document.write( "

Algebra.Com's Answer #97135 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"1%2Fa+%2B+1%2Fb+=+c\"$
\n" ); document.write( "multiply both sides by $\"b\"$
\n" ); document.write( " $\"b%2Fa+%2B+1+=+bc\"$
\n" ); document.write( "Subtract $\"bc\"$ from both sides
\n" ); document.write( " $\"b%2Fa+-+bc+%2B+1+=+0\"$
\n" ); document.write( "Subtract $\"1\"$ from both sides
\n" ); document.write( " $\"b%2Fa+-+bc+=+-1\"$
\n" ); document.write( "Factor out $\"b\"$ from left side
\n" ); document.write( " $\"b%281%2Fa+-+c%29+=+-1\"$
\n" ); document.write( "Divide both sides by $\"1%2Fa+-+c\"$
\n" ); document.write( " $\"b+=+%28-1%29+%2F+%281%2Fa+-+c%29\"$
\n" ); document.write( "To simplify the right side, multiply
\n" ); document.write( "the right side by $\"%28-a%29%2F%28-a%29\"$ , which is $\"1\"$ ,
\n" ); document.write( "so nothing is really changed
\n" ); document.write( " $\"b+=+a+%2F+%28ac+-+1%29\"$ answer
\n" ); document.write( "check answer:
\n" ); document.write( " $\"1%2Fa+%2B+1%2Fb+=+c\"$
\n" ); document.write( "What is $\"1%2Fb\"$ ?
\n" ); document.write( " $\"1%2Fb+=+%28ac+-+1%29+%2F+a\"$ (from the answer)
\n" ); document.write( " $\"1%2Fa+%2B+%28ac-1%29%2Fa+=+c\"$
\n" ); document.write( "Multiply both sides by $\"a\"$
\n" ); document.write( " $\"1+%2B+ac+-+1+=+ac\"$
\n" ); document.write( " $\"ac+=+ac\"$
\n" ); document.write( "OK \n" ); document.write( "

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