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Rearrange w=3(2a+b)-4 to make a the subject

Rearrange w=3(2a+b)-4 to make a the subject-example-1
User Aodj
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1 Answer

4 votes

Answer:

a = (w - 3b + 4)/6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Explanation:

Step 1: Define

w = 3(2a + b) - 4

Step 2: Solve for a

  1. Add 4 to both sides: w + 4 = 3(2a + b)
  2. Divide 3 on both sides: (w + 4)/3 = 2a + b
  3. Subtract b on both sides: (w + 4)/3 - b = 2a
  4. Divide 2 on both sides: (w - 3b + 4)/6 = a
  5. Rewrite: a = (w - 3b + 4)/6
User Riyaz Ahamed
by
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