Question

Solve the following equation and verify your answer 1. P+7/p_2= 1/3

Answer 1

Answer:-

$\implies \: \boxed{ \bf{p = \frac{ - 23}{2} }}$

Step - by - step explanation:-

Solution :-

$\implies \: \bf{ \frac{p + 7}{p - 2} = \frac{1}{3} }\\ \\ \bf{ \implies \: 3(p + 7) = p - 2} \\ \\ \implies \bf{ \: 3p + 21 - p = - 2 }\\ \\ \implies \: \bf{ 2p \: = - 2 - 21} \\ \\ \implies \: \bf{ 2p \: = - 23} \\ \\ \implies \: \boxed{\bf{p \: = - \frac{23}{2} }}$

Now , Varifie the solution ,

$\bf{ put \: \: \: p = \frac{ - 23}{2} }$

$\implies \: \frac{ - \frac{23}{2} + 7}{ - \frac{23}{2} - 2} = \frac{1}{3} \\ \\ \implies \: \frac{ \frac{ - 23 + 14}{2} }{ \frac{ - 23 - 4}{2} } = \frac{1}{3} \\ \\ \implies \: \frac{ - 9}{ - 27} = \frac{1}{3} \\ \\ \implies \: \boxed{ \frac{1}{3} = \frac{1}{3} }$

Value is verified .