SOLUTION: Solve for V D=M/V

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Question 94751: Solve for V
D=M/V
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
.
D=M%2FV
.
To solve for V, begin by getting rid of the V in the denominator. You can do this by multiplying
both sides of the equation by V to get:
.
D%2AV=%28V%2AM%29%2FV
.
Note that on the right side the V multiplier is in the numerator and it cancels the V in
the denominator:
.
D%2AV=%28cross%28V%29%2AM%29%2Fcross%28V%29+=+M
.
Next, get rid of the factor D on the left side by dividing both sides by D to get:
.
%28D%2AV%29%2FD+=+M%2FD
.
On the left side the D in the numerator cancels the D in the denominator:
.
%28cross%28D%29%2AV%29%2Fcross%28D%29+=+M%2FD
.
As a result you are left with:
.
V+=+M%2FD
.
That's the answer you are looking for. Once you get used to this form you will become familiar
with the rule that says given something of the form:
.
A+=+B%2FC
.
You can quickly solve for C by just reversing the positions of A and C to get:
.
C+=+B%2FA
.
Hope this helps ....