Question

2m/3 + 8 = m/2 - 1 solve and verification LHS RHS please

Answer 1

Answer:

m=-54

Step-by-step explanation:

Answer 2

$\huge \red {Solution}$ :-




$\dfrac{2m}{3} \: + \: 8$ = $\dfrac{m}{2} \: - \: 1$

Multiplying both sides by 6 we get,

4x + 48 = 3x - 6

Moving the terms,

4x - 3x = -6 - 48

x = -54




∴ The number is -54



Verification :-

$\dfrac{2m}{3} \: + \: 8$ = $\dfrac{m}{2} \: - \: 1$

=> $\dfrac{2 × -54}{3} \: + \: 8$ = $\dfrac{-54}{2} \: - \: 1$

=> $\dfrac{-108}{3} \: + \: 8$ = $\dfrac{-54}{2} \: - \: 1$

=> -36 = -36

LHS = RHS✔✔

Hence, verified.✔




∴ The number is -54