Question

solve the following equation​

Answer 1

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

$3(p + 7) = 1(p - 6)$

$3p + 21 = p - 6$

$3p - p = - 6 - 21$

$2p = - 27$

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

Answer 2

Answer:

The option a is the answer of p=$\frac{-27}{2}$

Step-by-step explanation:

In accordance with the information provided in the question,

Given the data in question $\frac{p+7}{p-6} =\frac{1}{3}$

Arrange the equation cross multiply

$3(p+7)=1(p-6)\\3p+21=p-6$

We have find the value of" p" in the above question.

Here we will use the transposition method.

Hence, for solving the above equation, we will solve it by separating the like terms at one side to another side,

So, we will shift 21 from LHS to RHS the sign will change from positive to negative,

So, we will shift p from RHS to LHS the sign will change from positive to negative,

As we get,

$3p+21=p-6\\3p-p=-6-21\\2p=-27$

Dividing both side by 2 we get,

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

Hence option a is the answer of p=$\frac{-27}{2}$