Question

if 1/2 p + 1= 3/2 p +2
than the value of (p) ​

Answer 1

GIVEN EQUATION :-

$\sf{\dfrac{1p}{2} + 1 = \dfrac{3p}{2} + 2}$

SOLUTION :-

$\sf :\implies \dfrac{1p}{2} - \dfrac{3p}{2} = 2 - 1$

$\sf :\implies \dfrac{p - 3p}{2} = 1$

$\sf :\implies p - 3p = 2$

$\sf :\implies - 2p = 2$

$\sf :\implies p = \bf\red{- 1}$

Therefore, p = -1.

VERIFICATION :-

$\sf :\implies \dfrac{ - 1}{2} + 1 = \dfrac{3( - 1)}{2} + 2$

$\sf :\implies \dfrac{ - 1 + 2}{2} = \dfrac{ - 3 +4 }{2}$

$\sf :\implies \dfrac{ - 1}{2} = \dfrac{ - 1}{2}$

LHS = RHS.

Hence, Verified.