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September 27th, 2009, 03:14 PM   #1
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Transforming Equations

Have a test on tuesday.... We're just doing basic review (first weeks of school)... Anyway I am stuck on a few problems on transforming equations and am wondering if the misc can help

Isolate for the given variable:

1. x+y=xy Solve for Y

2. x+y+z=xyz Solve for Z

3. (1/x) + (1/y)=(1/x)(1/y) Solve for Y

4. (1/x) + (1/y) + (1/z)= (1/x)(1/y)(1/z) Solve for Z
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September 28th, 2009, 07:30 AM   #2
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How far have you gotten? Where are you stuck on each of these?

Please be complete. Thank you!
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September 29th, 2009, 03:07 AM   #3
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Each equation needs to be rearranged into the form ax = b, where x is the variable you are asked to solve for. The answer will then be x = b/a (provided a is not zero). If there are, say, two terms involving x, the rearranged equation would be of the form (a + c)x = b, and the solution would be x = b/(a + c) (provided a + c is not zero).
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September 29th, 2009, 06:34 AM   #4
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Re: Transforming Equations

Surely, if it is a review, the rules are already evident. If there is absolutely no sign of success, then I'd strongly recommend getting a tutor, as there is usually much that needs to be discussed. These studies, like others, require classroom dialogue as well as text and notes for reference. The solution of some more examples, a very few isolated ones, will not cover the main ideas to enable individual solution at a later date, and it is those main ideas that need to be noted then discussed practiced.

Otherwise, showing a little effort would be very much to your advantage.
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September 29th, 2009, 08:16 AM   #5
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Re: Transforming Equations

x + y = xy
x = xy - y
x = y(x - 1)
y = x / (x-1)
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