SOLUTION: In order for the following fraction to be defined, what value(s) can x not assume? 7/[(2/x)-(3/5)]

Question 77842: In order for the following fraction to be defined, what value(s) can x not assume?
7/[(2/x)-(3/5)]
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
In order for the following fraction to be defined, what value(s) can x not assume?

Lets look at the denominator(). The LCM is 5x. To simplify, we will multiply both numerator and denominator of this term by 5x/5x and we get:
-------------------Now we have:
Now we will multiply the numerator and denominator by Notice that this will make the denominator =1 and we get:
or Now we can see that
10-3x cannot equal zero, so 3x cannot equal 10 or x cannot equal (10/3)

Hope this helps---ptaylor
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