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Pls anwer quick, i need this before tomorrow

Pls anwer quick, i need this before tomorrow-example-1

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The answer is 0.3, (5.3a-0.8)-(1.6-4.7a)=2a-(a-0.3) everything cancels out and all that is left is 0.3
User Sinosaurus
by
8.0k points
3 votes

Answer:

a = 0.3

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

Explanation:

Step 1: Define equation

(5.3a - 0.8) - (1.6 - 4.7a) = 2a - (a - 0.3)

Step 2: Solve for a

  1. Distribute negative: 5.3a - 0.8 - 1.6 + 4.7a = 2a - a + 0.3
  2. Combine like terms: 10a - 2.4 = a + 0.3
  3. Subtract a on both sides: 9a - 2.4 = 0.3
  4. Add 2.4 on both sides: 9a = 2.7
  5. Divide 9 on both sides: a = 0.3

Step 3: Check

Plug in a to verify it's a solution.

  1. Substitute: (5.3(0.3) - 0.8) - (1.6 - 4.7(0.3)) = 2(0.3) - (0.3 - 0.3)
  2. Multiply: (1.59 - 0.8) - (1.6 - 1.41) = 0.6 - 0
  3. Subtract: 0.79 - 0.19 = 0.6
  4. Subtract: 0.6 = 0.6

Here we see that 0.6 does indeed equal 0.6.

∴ a = 0.3 is a solution of the equation.

User Stonyau
by
7.2k points

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