Question

Given the equation,D=m/v if D=6/7 and =m+3 then m=.

Answer 1

`m=18`

Explanation:

The equation given is
`D=(m)/(v)`

and also we have that
`D=(6)/(7)`, thus:

`(6)/(7)=(m)/(v)`

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I think the question is missing which variable is defined as
`=m+3`, so I will solve for
`v=m+3` since is the only other variable in the equation.

substituting
`v=m+3` into
`(6)/(7)=(m)/(v)`:

`(6)/(7)=(m)/(m+3)`

and we solve for m:

`(m+3)(6)=7m\\6m+18=7m\\18=7m-6m\\18=m`

m is equal to 18.