Question

slove the following equation and verify your answer.​

Answer 1

Answer:

The answer is $p=-\frac{27}{2}$

Step-by-step explanation:

   $\frac{p+7}{p-6}=\frac{1}{3}$, given equation

$\Rightarrow 3(p+7)=p-6$, cross multiply

$\Rightarrow 3p+21=p-6$, simplify

$\Rightarrow 3p-p=-6-21$, separe variable and constants

$\Rightarrow 2p=-27\\\Rightarrow p=-\frac{27}{2}$

Verification:

LHS $=\frac{p+7}{p-6}=\frac{-\frac{27}{2}+7}{-\frac{27}{2}-6}=\frac{\frac{-27+14}{2}}{\frac{-27-12}{2}}=\frac{-13}{-39}=\frac{1}{3}=$RHS

Hence verified