Answer
false.
Work Step by Step
The given expression is $qf+pf=pq$.
Subtract $qf+pq$ from both sides.
$\Rightarrow qf+pf-(qf+pq)=pq-(qf+pq)$
Simplify.
$\Rightarrow qf+pf-qf-pq=pq-qf-pq$
$\Rightarrow pf-pq=-qf$
Factor out $p$ from the left hand side.
$\Rightarrow p(f-q)=-qf$
Divide both sides by $(f-q)$.
$\Rightarrow \frac{p(f-q)}{(f-q)}=\frac{-qf}{(f-q)}$
Simplify.
$\Rightarrow p=\frac{-qf}{f-q}$
Hence, the given statement is false.