• Math

  Linear Equations

  Posted by Vinamra on June 22, 2023 at 3:15 pm

  1. Solve the following equation for x: 3(x + 4) – 2(2x – 1) = 5(x – 3) + 2

  Budhaditya replied 3 months ago 3 Members · 2 Replies

  • linear algebra
  • Linear Equations
• 2 Replies

• 

  Shruti

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  June 22, 2023 at 3:48 pm

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  3(x+4) – 2(2x-1) = 5(x-3) + 2<div>3x + 12 – 4x + 2 = 5x – 15 + 2</div><div>14 – x = 5x – 13</div><div>14 – x – 5x + 13 = 0</div><div>27 – 6x = 0</div><div>27 = 6x</div><div>x = 4.5</div>

  Solved.

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  Budhaditya

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  June 22, 2023 at 10:09 pm

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  ::

  Given

  3(x + 4) – 2(2x – 1) = 5(x – 3) + 2

  Sol:-

  => 3x+12-4x+2= 5x-15+2

  => 3x-4x-5x= -15+2-12-2

  => -6x= -27

  => Dividing by -1 on both sides, we get

  => 6x= 27

  Therefore, x= 27/6 or 4.5

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