document.write( "Question 77271: Correct Question :\"
\n" ); document.write( "Let a and b be distict real numbers for which
\n" ); document.write( "a/b + (a+10b) / (b+10a) = 2
\n" ); document.write( "The value of a/b is
\n" ); document.write( "a) .5 b) .6 c) .8 d) 1 or .8\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #55356 by Nate(3500) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"a%2Fb+%2B+%28a+%2B+10b%29%2F%28b+%2B+10a%29+=+2\"$
\n" ); document.write( " $\"ab%2Fb+%2B+%28a+%2B+10b%29b%2F%28b+%2B+10a%29+=+2b\"$
\n" ); document.write( " $\"a+%2B+%28a+%2B+10b%29b%2F%28b+%2B+10a%29+=+2b\"$
\n" ); document.write( " $\"a%28b+%2B+10a%29+%2B+%28a+%2B+10b%29b%28b+%2B+10a%29%2F%28b+%2B+10a%29+=+2b%28b+%2B+10a%29\"$
\n" ); document.write( " $\"a%28b+%2B+10a%29+%2B+%28a+%2B+10b%29b+=+2b%28b+%2B+10a%29\"$
\n" ); document.write( " $\"ab+%2B+10a%5E2+%2B+ab+%2B+10b%5E2+=+2b%5E2+%2B+20ab\"$
\n" ); document.write( " $\"10a%5E2+-+18ab+%2B+8b%5E2+=+0\"$
\n" ); document.write( " $\"10a%5E2+-+10ab+-+8ab+%2B+8b%5E2+=+0\"$
\n" ); document.write( " $\"%2810a%5E2+-+10ab%29+%2B+%28-8ab+%2B+8b%5E2%29+=+0\"$
\n" ); document.write( " $\"10a%28a+-+b%29+-+8b%28a+-+b%29+=+0\"$
\n" ); document.write( " $\"%2810a+-+8b%29%28a+-+b%29+=+0\"$
\n" ); document.write( "we get: 10a - 8b = 0
\n" ); document.write( "10a = 8b
\n" ); document.write( "a = .8b and b = 1.25a
\n" ); document.write( "a / b or .8b / 1.25a or .8(1.25a) / 1.25a = 0.8
\n" ); document.write( "we get: a - b = 0
\n" ); document.write( "a = b
\n" ); document.write( "a / b = b / b = 1
\n" ); document.write( "(d) \n" ); document.write( "

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