Question

3 (a - 1) + 31 - 11a = 4 ( 2a + 3)

Answer 1

Question :-

3 ( a - 1 ) + 31 - 11a = 4 ( 2a + 3 )

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Solution :-

Given Information :-

• Equation ➢ 3 ( a - 1 ) + 31 - 11a = 4 ( 2a + 3 )

To Find :-

• The value of 'a'

Calculation :-

⇒ 3 ( a - 1 ) + 31 - 11a = 4 ( 2a + 3 )

Opening the brackets and multiplying the terms, We get,

⇒ 3a - 3 + 31 - 11a = 8a + 12

⇒ -8a + 28 = 8a + 12

⇒ 8a + 8a = - 28 - 12

⇒ 16a = 40

Transposing 16 to Right Hand Side, We get,

⇒ a =
`\sf (40)/(16)`

⇒ a =
`\sf (-2)/(5)`

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Final Answer :-

• The value of 'a' is
  `\bf (-2)/(5)`

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Answer 2

-⅖

Explanation:

We need to simplify the given equation and find out the value of a , as ,

=> 3(a-1)+31-11a = 4(2a+3)

=> 3a -3+31-11a = 8a + 12

=> -8a -28 = 8a + 12

=> 16a = -28-12

=> 16a = -40

=> a = -2/5

• Hence the value of a is -⅖ .