Question

Find the value of $p$, if $pq+12=3p+pr$ and $q-r=7$

• A. $-3$
• B. $-4$
• C. $\frac{1}{3}$
• D. $\frac{3}{5}$
• E. $-\frac{6}{5}$

Answer 1

The correct option is A $-3$

Given, $pq+12=3p+pr$

$\Rightarrow pq-pr+12=3p$

$\Rightarrow pq-pr=3p-12$

$\Rightarrow p(q-r)=3p-12$

According to the question, $q-r=7$

$\Rightarrow p\left(7\right)=3p-12$

$\Rightarrow 7p-3p=-12$

$\Rightarrow 4p=-12$

$\Rightarrow p=\frac{-12}{4}=-3$