Verified Answer :

Viserion

Answer:

→ \(\sf{a = \dfrac{ - 7}{ \: \: 2} }\)

Step-by-step explanation:

Given Equation :

  • 2 - 4a = 16

We have to find :

  • Value of a

Solution :

\(\sf{ \longmapsto \: \: \: 2 - 4a = 16}\)

Step 1 - Subtracting 2 on both sides :

\(\sf{ \longmapsto \: \: \: \cancel{2} - 4a - \cancel{2}= 16 - 2}\)

\(\sf{ \longmapsto \: \: \: - 4a = 14}\)

Step 2 : Dividing both sides with -4 :

\(\sf{ \longmapsto \: \: \: \dfrac{ \cancel{- 4a}}{ \cancel{- 4} \: \: } = \cancel{\dfrac{ \: \: \: 14}{ - 4}}}\)

We get :

\(\sf{ \longmapsto \: \: \: \underline{\boxed{\bold{a = \dfrac{ - 7}{ \: \: \: 2} }}}} \: \: \: \bigstar\)

>>> Therefore, value of a is "(-7)/2".

VERIFICATION:-

  • 2 - 4a = 16

  • 2 - 4 × (-7)/2 = 16

  • 2 + (28)/2 = 16

  • 2 + 14 = 16

  • 16 = 16

  • LHS = RHS

  • Hence, Verified.

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