Question #53ca1

1 Answer
Joseph W.
Aug 8, 2017

#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#

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