document.write( "Question 469825: If (ab)/(b - a) = 1 and a does NOT equal b, what is a in terms of b?\r
\n" ); document.write( "\n" ); document.write( "A) (b + 1)/b
\n" ); document.write( "B) b/(b + 1)
\n" ); document.write( "C) (b+1)/(b-1)
\n" ); document.write( "D) 1 - (1/b)
\n" ); document.write( "E) b/(b-1)
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Algebra.Com's Answer #322293 by bucky(2189)\"\" \"About 
You can put this solution on YOUR website!
What this problem is asking you to do is to solve for a.
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\n" ); document.write( "Do you recognize why the problem says that a is NOT equal to b? It's because if a = b then the denominator of (b - a) would be equal to zero, and as you know, division by zero is not permitted in algebra.
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\n" ); document.write( "So the problem you were given is:
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\n" ); document.write( "\"%28ab%29%2F%28b+-+a%29+=+1\"
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\n" ); document.write( "First get rid of the denominator (b - a) by multiplying both sides of the equation by (b - a) to get:
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\n" ); document.write( "\"ab+=+b+-+a\"
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\n" ); document.write( "Next add +a to both sides to get rid of the -a on the right side. When you do, the equation becomes:
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\n" ); document.write( "\"ab+%2B+a+=+b\"
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\n" ); document.write( "Factor the left side by removing a from both terms to get:
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\n" ); document.write( "\"a%28b%2B1%29+=+b\"
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\n" ); document.write( "Solve for a by dividing both sides by (b+1) and you have:
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\n" ); document.write( "\"a+=+b%2F%28b%2B1%29\"
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\n" ); document.write( "Notice that this is answer B in your list of possible answers.
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\n" ); document.write( "Hope this helps you to understand the problem.
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