document.write( "Question 165590: Hi, if a does not equal b, and 1/x +1/a = 1/b, then x=\r
\n" ); document.write( "\n" ); document.write( "I have tried 1/x=1/b-1/a\r
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Algebra.Com's Answer #122041 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
If:
\n" ); document.write( " $\"%281%2Fx%29%2B%281%2Fa%29+=+1%2Fb\"$ $\"a%3C%3E0\"$ Find x:
\n" ); document.write( " $\"%281%2Fx%29%2B%281%2Fa%29+=+1%2Fb\"$ Subtract $\"1%2Fa\"$ from both sides.
\n" ); document.write( " $\"1%2Fx+=+%281%2Fb%29-%281%2Fa%29\"$ Subtract the fractions on the right side and simplify, LCD is $\"ab\"$
\n" ); document.write( " $\"1%2Fx+=+%28a-b%29%2F%28ab%29\"$ Multiply both sides by x.
\n" ); document.write( " $\"1+=+x%28a-b%29%2F%28ab%29\"$ Multiply both sides by $\"ab\"$
\n" ); document.write( " $\"ab+=+x%28a-b%29\"$ Finally, divide both sides by $\"%28a-b%29\"$
\n" ); document.write( " $\"ab%2F%28%28a-b%29%29+=+x\"$ or $\"highlight%28x+=+ab%2F%28%28a-b%29%29%29\"$ \n" ); document.write( "

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