document.write( "Question 40339: 30/10+y = 20/10-y \n" ); document.write( "
Algebra.Com's Answer #25833 by smik(40)\"\" \"About 
You can put this solution on YOUR website!
Good Question. I'm guessing you meant 30/(10+y) = 20/(10-y).
\n" ); document.write( "Anyway, our first aim is to get rid of the denominators because those don't help a lot when solving equations. So we can first multiply both sides by (10+y) and then multiply both sides by (10-y).
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\n" ); document.write( "\"%2810%2By%29%2A%2830%2F%2810%2By%29%29+=+%2820%2F%2810-y%29%29%2A%2810%2By%29\" (we multiply both sides by 10+y)
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\n" ); document.write( "\"30+=+%2820%2A%2810%2By%29%29%2F%2810-y%29\"
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\n" ); document.write( "\"%2810-y%29%2A30+=+20%2A%2810%2By%29\" (we multiply both sides by 10-y)
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\n" ); document.write( "We can factor this out:
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\n" ); document.write( "\"300-30y+=+200%2B20y\"
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\n" ); document.write( "\"100+=+50y\" (subtract 200 from both sides, and add 30y to both sides)
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\n" ); document.write( "\"y+=+2\" (the final answer)
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