SOLUTION: If x/y=m and xy does not equal zero, then x-y/x is equal to ? A)m-1 B)m-1/m C)m/m-1 D)m-1/m+1

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: If x/y=m and xy does not equal zero, then x-y/x is equal to ? A)m-1 B)m-1/m C)m/m-1 D)m-1/m+1      Log On


   

Question 1040333: If x/y=m and xy does not equal zero, then x-y/x is equal to ?
A)m-1
B)m-1/m
C)m/m-1
D)m-1/m+1
Found 2 solutions by jim_thompson5910, ikleyn:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2Fy+=+m


x%2Fy+=+m%2F1


y%2Fx+=+1%2Fm


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%28x-y%29%2Fx+=+x%2Fx+-+y%2Fx


%28x-y%29%2Fx+=+1+-+y%2Fx


%28x-y%29%2Fx+=+1+-+1%2Fm


%28x-y%29%2Fx+=+m%2Fm+-+1%2Fm


%28x-y%29%2Fx+=+%28m+-+1%29%2Fm


-------------------------


Final Answer: %28m+-+1%29%2Fm

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
If x/y=m and xy does not equal zero, then x-y/x is equal to ?
A)m-1
B)m-1/m
C)m/m-1
D)m-1/m+1
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Hey,

first, I don't know how to read your formula.
Even worst: nobody knows.

Is it  x+-%28y%2Fx%29  or  %28x-y%29%2Fx ?

If you are novice in this site, please use parentheses properly to avoid ambiguity. 
Remember that writing formulas in this site requires special care.
In your textbook or in your teacher's assignment page the typography makes the formulas clear without using parentheses.
But it is not so in this site.


Next, I will assume that you are asking about  %28x-y%29%2Fx.   ( You can write it as  (x-y)/x. )

Then everything is very clear and very simple.

%28x-y%29%2Fx = x%2Fx+-+y%2Fx = 1+-+y%2Fx = 1+-+1%2Fm = %28m-1%29%2Fm.

Answer.  %28x-y%29%2Fx = 1+-+1%2Fm = %28m-1%29%2Fm.  Option B).