Question

Question #53ca1

Answer 1

`1/p-1/q=1/3`

Explanation:

We can arrive at this answer rather quickly if we think outside the box. Instead to solving for p and q, we can rearrange equations to suit our needs.

Our First step would be to cross multiply

`1/p-1/q`

which will give us

`(q-p)/(pq)`

Seem familiar? We already know what `pq` is, so we just need to figure out what `q-p` equals to. By rearranging the first equation(basically flipping it), we get

`p-q=-1/12`

Substituting these values into the formula will give us a value which is

`(-1/12)/(-1/4)=-1/12*-4=-1/3`