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krek1111 [17]
2 years ago
7

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

Mathematics
2 answers:
nikitadnepr [17]2 years ago
8 0

Answer:

-⅖

Step-by-step 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

<h3>• Hence the value of a is -⅖ .</h3>
kotegsom [21]2 years ago
4 0
<h2><u>Question :-</u></h2>

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

<h3>____________________</h3>

<h2><u>Solution :-</u></h2>

<h3><u>Given Information :-</u></h3>

  • <u>Equation</u> ➢ 3 ( a - 1 ) + 31 - 11a = 4 ( 2a + 3 )

<h3><u>To Find :-</u></h3>

  • The value of 'a'

<h3><u>Calculation :-</u></h3>

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

<em><u>Opening the brackets and multiplying the terms, We get, </u></em>

⇒ 3a - 3 + 31 - 11a = 8a + 12

⇒ -8a + 28 = 8a + 12

⇒ 8a + 8a = - 28 - 12

⇒ 16a = 40

<em><u>Transposing 16 to Right Hand Side, We get,</u></em>

⇒ a = \sf \frac{40}{16}

⇒ a = \sf \frac{-2}{5}

<h3>____________________</h3>

<h2><u>Final Answer :-</u></h2>

  • The value of 'a' is \bf \frac{-2}{5}

<h3>____________________</h3>
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